- Debasish Roy and G V Rao, 2012, “Elements of Structural Dynamics: A New Perspective”, John Wiley, New York (438 pages; ISBN-13: 9781118339626, first edition published on October 16, 2012)

(About this book: Elements of Structural Dynamics: A New Perspective takes a novel ‘top-down’ approach to the subject of structural dynamics. It starts with the basic principles of linear momentum balance of isotropic and linearly elastic systems, which in turn yield the governing equations of motion in structural dynamics. It attempts to mathematically model the ‘real-life’ structural systems, whilst not sacrificing the important feature of a suitably graded exposition with gradually increasing complexity.

Elements of Structural Dynamics: A New Perspective is devoted to covering dynamics of linear structural systems and covers the computational aspects that enable the adapting of the basic theory into computer programs. This book also provides some information on the important mathematical concepts to allow a more insightful understanding of the subject.)

- Debasish Roy and G V Rao, “Stochastic Dynamics, Filtering and Optimization”, Cambridge University Press, first edition published in May 2017, ISBN 978-1107182646 (742 pages)

(About this book: Targeted to graduate students, researchers as well as practitioners in science and engineering, this book gives a self-contained yet gentle introduction to a measure-theoretic framework in laying out the definitions and basic concepts on random variables and stochastic diffusion processes. It then continues to weave into such a framework several practical tools and applications involving stochastic dynamical systems. These include schemes for the numerical integration of such dynamical systems, nonlinear stochastic filtering and generalized Bayesian update theories for solving inverse problems and a new stochastic search technique for treating a broad class of non-convex optimization problems. MATLAB codes for all the applications are supplied with the companion website.)

Remark: This book is in the list of suggested books by the AICTE for postgraduate degree courses (https://www.aicte-india.org/sites/default/files/Latest%20AICTE%20-%20PG.pdf).

Click her for more details...

- Ram M Vasu and Debasish Roy, “Ultrasound mediated imaging of soft materials”; published by the IOP Publishing, UK (December, 2018); ISBN: 0750317485.

(About this book: Ultrasound-mediated imaging in scattering media has deeper roots than hitherto imagined, with roots in condensed matter physics. Professors Vasu and Roy discuss these in order to establish a firm connection between measurement and a host of parameters in the medium, mechanical and optical. These connections are verified through recovery of parameters using simulations and experiments. Explaining their research, inter alia the authors explore problems such as noise-assisted small-signal amplification, stochastic search schemes for optimization and anisotropic particle diffusion. For graduates and researchers in the field, this book will highlight key features of the developing science and will enable practitioners to adopt the simulation algorithms and experimental modalities presented.)

**Book under active preparation:**

- Debasish Roy and G V Rao, “Methods in Classical and Geometric Optimization”; (tentative title only; under preparation).

- S R Chowdhury, P Roy, D Roy and J N Reddy, 2019, “A modified peridynamics correspondence principle: Removal of zero-energy deformation and other implications”, Computer Methods in Applied Mechanics and Engineering, 346, pp. 530-549.

- P Roy and D Roy, 2019, “Peridynamics model for flexoelectricity and damage”, Applied Mathematical Modelling, 68, pp. 82-112.

- A Pathrikar, M Rahaman and D Roy, 2019, “A thermodynamically consistent peridynamics model for visco-plasticity and damage”, Computer Methods in Applied Mechanics and Engineering; in the press; https://doi.org/10.1016/j.cma.2019.01.008

- M Nowruzpour, S Sarkar, JN Reddy, D Roy, 2019, “A derivative-free upscaled theory for analysis of defects”, Journal of the Mechanics and Physics of Solids 122, 489-501.

- S Kumar, B Dhas, D Roy, 2018, “Emergence of pseudo-ductility in laminated ceramic composites”, Composite Structures 204, 664-676.

- SR Chowdhury, D Roy, 2018, “A non-equilibrium thermodynamic model for viscoplasticity and damage: two temperatures and a generalized fluctuation relation”, International Journal of Plasticity, Vol. 113, pp. 158 – 184.

- B Medhi, GM Hegde, KPJ Reddy, D Roy, RM Vasu, 2018, “A novel wavefront measuring camera for quantitative measurement of density in high-speed gas flows”, Review of Scientific Instruments 89 (8), 085122.

- S Das, SR Chowdhury, D Roy, 2018, “A constitutive model for thermoplastics based on two temperatures”, European Journal of Mechanics-A/Solids, 72, 440-451.

- SR Chowdhury, G Kar, D Roy, JN Reddy, 2018, “Metal viscoplasticity with two-temperature thermodynamics and two dislocation densities”, Continuum Mechanics and Thermodynamics 30 (2), 397-420.

- MM Rahaman, B Dhas, D Roy, JN Reddy, 2018, “Variational formulation for dissipative continua and an incremental J-integral”, Proceedings of the Royal Society A 474 (2209), 20170674

- B Dhas, MM Rahaman, K Akella, D Roy, JN Reddy, 2018, “A Phase-Field Damage Model for Orthotropic Materials and Delamination in Composites”, Journal of Applied Mechanics 85 (1), 011010.

- B Medhi, G M Hegde, K J Reddy, D Roy and R M Vasu, 2018, “Shock-wave imaging by density recovery from intensity measurements”, Applied Optics, 57(17) (in the press, Doc. ID 315261).

- Mazumder, D., Vasu, R. M., Roy, D., & Kanhirodan, R. (2018). A remote temperature sensor for an ultrasound hyperthermia system using the acoustic signal derived from the heating signals. International Journal of Hyperthermia, 34 (1), 122-131.

- Rahaman, M. M., Roy, P., Roy, D., & Reddy, J. N. (2017). A peridynamic model for plasticity: Micro-inertia based flow rule, entropy equivalence and localization residuals. Computer Methods in Applied Mechanics and Engineering, 327, 369-391.

- Roy, P., Deepu, S. P., Pathrikar, A., Roy, D., & Reddy, J. N. (2017). Phase field based peridynamics damage model for delamination of composite structures. Composite Structures, 180, 972-993.

- Rahaman, M. M., Dhas, B., Roy, D., & Reddy, J. N. (2017). A dynamic flow rule for viscoplasticity in polycrystalline solids under high strain rates. International Journal of Non-Linear Mechanics, 95, 10-18.

- Gopinathan, D., Venugopal, M., Roy, D., Rajendran, K., Guillas, S., & Dias, F., 2017, “Uncertainties in the 2004 Sumatra–Andaman source through nonlinear stochastic inversion of tsunami waves”. Proceedings of the Royal Society A Vol. 473, No. 2205, 20170353.

- Roy, Pranesh, et al. "Peridynamics damage model through phase field theory." International Journal of Mechanical Sciences 128 (2017): 181-193.

- S Roy Chowdhury, D Roy and J N Reddy, 2017, “Relating entropy flux with heat flux in two-temperature thermodynamic model for metal thermoviscoplasticity”, Journal of Applied Mechanics (ASME), 84(2), 021007; doi:10.1115/1.4034971.

- Md. M Rahaman, A Pathak and D Roy, 2017, “A thermo-visco-plastic damage model and SPH simulations of plugging failure”, Mechanics of Advanced Materials and Structures, http://dx.doi.org/10.1080/15376494.2017.1286419 (in the press).

- D Majumdar, U Sharath, R Kanhirodan, D Roy, S Asokan and R M Vasu, 2017, “Quantitative vibro-acoustography of tissue-like objects by measurement of resonant modes”, Physics in Medicine and Biology, 62(1), 107.

- S Roy Chowdhury, G Kar, D Roy and J N Reddy, 2017, “Two-temperature thermodynamics for metal viscoplasticity: continuum modelling and numerical experiments”, Journal of Applied Mechanics (ASME), Vol. 84(1), 011002.

- M Venugopal, Peter van ES, S Manohar, D Roy and R M Vasu, 2016, “Quantitative photoacoustic tomography by stochastic search: Direct recovery of the optical absorption field”, Optics Letters, Vol. 41(18), pp. 4202-4205.

- S Roy Chowdhury, D Roy, J N Reddy and A Srinivasa, 2016, “Fluctuation relation based continuum model for thermoviscoplasticity in metals”, Journal of the Mechanics and Physics of Solids, Vol. 96, pp. 353-368.

- B Medhi, G M Hegde, S S Gorthi, K P J Reddy, D Roy and R M Vasu, 2016, “Improved quantitative visualization of hypervelocity flow through wavefront estimation based on shadow casting of sinusoidal gratings”, Applied Optics, Vol. 55(22):6060.

- D Roy, 2016, “Two-Temperature Continuum Model for Metal Plasticity”, Proc. Of the Indian Nat. Science Academy, Vol. 82(2), pp. 247-255.

- M Venugopal, R M Vasu and D Roy, 2016, “A stochastically evolving non-local search and solutions to inverse problems with sparse data”, Probabilistic Engineering Mechanics, Vol. 46, pp. 37-47.

- S Roy Chowdhury, P Roy, D Roy and J N Reddy, 2016, "A peridynamic theory for linear elastic shells", International Journal of Solids and Structures, Vol. 84, pp. 110-132.

- M Venugopal, R M Vasu and D Roy, 2016, “An Ensemble Kushner-Stratonovich-Poisson Filter for Recursive Estimation in Nonlinear Dynamical Systems”, IEEE Transactions on Automatic Control, Vol. 61(3), pp. 823-831 (doi:10.1109/TAC.2015.2450113).

- S Roy Chowdhury and D Roy, 2016. “Two-temperature continuum model for metal plasticity”, Proc. Indian Natl. Science Acad., June Special Issue (in the press).

- S Roy Chowdhury, Md. M Rahman, D Roy and S Narayan, 2015, “A micropolar peridynamic theory in linear elasticity”, International Journal of Solids and Structures, Vol. 59, pp. 171-182.

- M. Rahaman, S P Deepu, D Roy and J N Reddy, 2015, “A micropolar cohesive damage model for delamination of composites”, Composite Structures, Vol. 131, pp. 425-432.

- K P Mohanan, A K Nandakumaran, D Roy and R M Vasu, 2015, “Ultrasound modulated optical tomography: Direct recovery of elasticity distribution from experimentally measured intensity autocorrelation”, Journal of the Optical Society of America A, Vol. 32, pp. 955-963.

- S Sarkar, S R Chowdhury, D Roy and R M Vasu, 2015, “Internal noise driven generalized Langevin equation from a nonlocal continuum model”, Physical Review E, Vol. 92, 022150.

- S Sarkar, D Roy and R M Vasu, 2015, “A global optimization paradigm based on change of measures”, Royal Society Open Science, Vol. 2, 150123.

- N Pimprikar, S Sarkar, G Devaraj, D Roy and S R Reid, 2015, “A stabilization approach for mesh-free simulations of systems developing shocks or extreme strain localizations”, International Journal of Mechanical Sciences, Vol. 91, pp. 18-32.

- A Shaw, S R Reid, D Roy and S Chakraborty, 2015, “Beyond classical dynamic structural plasticity using mesh-free modelling techniques”, International Journal of Impact Engineering, Vol. 75, pp. 268-278.

- S Sarkar and D Roy, 2015, “Weakly corrected numerical solutions to stochastically driven nonlinear dynamical systems”, Applied Mathematical Modelling (in press; doi:10.1016/j.apm.2015.06.011).

- S Chandran, G Devaraj, R Kanhirodan, D Roy and R M Vasu, 2015, “Detection and estimation of liquid flow through a pipe in a tissue-like object with ultrasound-assisted diffuse correlation spectroscopy”, Journal of the Optical Society of America A, to appear (Doc. ID. 240541).

- G Devaraj, Shashi Narayan and D Roy, 2014, “A Smooth Discretization Bridging Finite Element and Mesh-free Methods Using Polynomial Reproducing Simplex Splines”, CMES-Computer Modeling in Engineering and Sciences, Vol. 102(1), pp. 1-54.

- B Medhi, G M Hegde, K P J Reddy, D Roy and R M Vasu, 2014, “Quantitative estimation of density variation in high-speed flows through inversion of the measured wavefront distortion”, Optical Engineering, Vol. 53(12), 124107 (doi:10.1117/1.OE.53.12.124107).

- A Shaw, S R Reid, D Roy and S Chakraborty, 2015, “Beyond classical dynamic structural plasticity using mesh-free modeling techniques”, International Journal of Impact Engineering, Vol. 75, pp. 268-278.

- T Raveendran, D Roy and R M Vasu, 2014, “Iterated stochastic filters with additive updates for dynamic system identification: annealing type iterations and the filter bank”, Probabilistic Engineering Mechanics, in the press (DOI: 10.1016/j.probengmech.2014.09.002)

- G Devaraj, S Narayan and D Roy, 2014, “A smooth discretization bridging finite element and mesh-free methods using polynomial reproducing simplex splines”, Computer Modeling in Engineering and Sciences, Vol. 102, pp. 1-54.

- S Sarkar, D Roy and R M Vasu, 2014, “A perturbed martingale approach to global optimization”, Physics Letters A, Vol. 378, pp. 2831-2844.

- R S Chandra, S Sarkar, R Kanhirodan, D Roy and R M Vasu, 2014, “Diffusing wave spectroscopy in an inhomogeneous object: local visco-elastic spectra from ultrasound assisted measurement of correlation decay arising from the ultrasound focal volume”, Physical Review E, 90, 012303.

- N Pimprikar, S Sarkar, G Devaraj, D Roy and S R Reid, 2014, “A stabilization approach for mesh-free simulations of systems developing shocks or extreme strain localizations”, International Journal of Mechanical Sciences, in the press (http://dx.doi.org/10.1016/j.ijmecsci.2014.06.005)

- J Teresa, M Venugopal, D Roy, R M Vasu and R Kanhirodan, 2014, “Diffraction tomography from intensity measurements: a novel evolutionary stochastic search to invert experimental data”, Journal of the Optical Soc. Am. (A), Vol. 31(5), pp. 996-1006.

- S Sarkar, S R Chowdhury, M Venugopal, R M Vasu and D Roy, 2014, “A Kushner–Stratonovich Monte Carlo filter applied to nonlinear dynamical system identification”, Physica D: Nonlinear Phenomena, Vol. 270, pp. 46-59.

- N Pimprikar, J Teresa, D Roy, R M Vasu and K Rajan, 2013, “An approximately H1 optimal Petrov-Galerkin mesh-free method”, Computer Modeling in Engineering and Sciences, Vol. 92, pp. 33-61.

- T Raveendran, D Roy, R M Vasu, 2013, “A scaled unscented transformation based directed Gaussian sum filter for nonlinear dynamic system identification”, Probabilistic Engineering Mechanics, Vol. 34, pp. 83-90.

- T Raveendran, S Sarkar, D Roy and R M Vasu, 2013, “A novel filtering framework through Girsanov correction for the identification of nonlinear dynamical systems”, Inverse Problems, Vol. 29(4), 065002.

- T Raveendran, D Roy and R M Vasu, 2013, “A Nearly Exact Reformulation of the Girsanov Linearization for Stochastically Driven Nonlinear Oscillators”, Journal of Applied Mechanics (ASME), Vol. 80(2), Art. No. 21020.

- S Roychowdhury, D Roy and R M Vasu, 2013, “Variance Reduced Particle Filters for Structural System Identification Problems”, Journal of Engineering Mechanics (ASCE), Vol. 139, pp. 210-218.

- K P Mohanan, A K Nandakumaran, D Roy and R M Vasu, 2013, “Quantitative ultrasound mmodulated optical tomography: A direct Gauss-Newton approach to recover elasticity distribution from the measured intensity autocorrelation”, Neural, Parallel and Scientific Computations, Vol. 21, pp. 319 -334.

- S Sarkar, M Venugopal, D Roy and R M Vasu, 2013, “An extended principle of pseudo-stochastic filtering for structural optimization and control”, Annals of the INAE, Vol. X (ISSN 0973-0540), pp. 33-44.

- T Raveendran, D Roy and R M Vasu, 2014, “Iterated Gain-Based Stochastic Filters for Dynamic System Identification”, Journal of the Franklin Institute, Vol. 351(2), pp.1093-1111.

- S Singh, R M Vasu, R Kanhirodan and D Roy, 2012, “Ultrasound Modulation of Coherent Light in a Multiple-Scattering Medium: Experimental Verification of Nonzero Average Phase Carried by Light”, Biomedical Optics Express, Vol. 3(9), pp. 2100-2110.

- S Biswas, R M Vasu, R Kanhirodan and D Roy, 2012, “Practical fully 3D reconstruction algorithms for diffuse optical tomography”, Journal of the Optical Soc of America A, Vol. 29, pp. 1017-1026 (Doc ID: 161079).

- M Suhesh, R Kandirohan, R M Vasu and D Roy, 2012, “Quantitative estimation of optical and mechanical properties from ultrasound assisted optical tomography data", Journal of Biomedical Optics, Vol. 17(10), pp. 101507 – 101507-5.

- Tara Raveendran, Saurabh Gupta, Ram Mohan Vasu, and Debasish Roy, 2012, “A pseudo-time EnKF incorporating shape based reconstruction for diffuse optical tomography”, Medical Physics, Vol. 39, 1092-1101.

- N Sunilkumar, D Roy and S R Reid, 2012, “Smooth DMS-FEM: A New Approach for Solving Nearly Incompressible Nonlinear Elasto-Static Problems”, International Journal of Mechanical Sciences, Vol. 54, pp. 136-155.

- N Sunilkumar, D Roy, S R Reid and R M Vasu, 2012, “Wrinkled and Slack Membranes: Nonlinear 3D Elasticity Solutions via Smooth DMS-FEM and Experiment”, International Journal for Numerical Methods in Engineering, Vol. 90, 1233-1260 (DOI: 10.1002/nme.3359).

- Amit Shaw, D Roy, 2012, “Stabilized SPH-based Simulations of Impact Dynamics Using Acceleration-Corrected Artificial Viscosity”, International Journal of Impact Engineering, Vol. 48, pp. 98-106.

- S Sarkar, T Raveendran, D Roy and R M Vasu, 2012, “Stochastic Filtering in Structural Health Assessment: Some Perspectives and Recent Trends”; Recent Trends in Structural Health Monitoring and Assessment, pp. 113-147 (Ed. A Haldar), World Scientific.

- R S Chandran, D Roy, K Rajan and R M Vasu, 2011, “Ultrasound modulated optical tomography: Young’s modulus of the insonified region from measurement of natural frequency of vibration”, Optics Express, Vol. 19, pp. 22837-22850.

- Amit Shaw, D. Roy, S.R. Reid, 2011, “Optimised Form of Acceleration Correction Algorithm within SPH-based Simulations of Impact Mechanics”, International Journal of Solids and Structures, Vol. 48, pp. 3484-3498.

- Tara Raveendran, Saurabh Gupta, Ram Mohan Vasu, and Debasish Roy, 2011, “Pseudo-time particle filtering for diffuse optical tomography”, Journal of the Optical Society of America A, Vol. 28, pp. 2070-2081.

- Biswas, S.K., Kanhirodan, R., Vasu, R.M., Roy, D., 2011, “Pseudodynamic systems approach based on a quadratic approximation of update equations for diffuse optical tomography”, Journal of the Optical Society of America A, Vol. 28, pp. 1784-1795.

- Nilanjan Saha and D Roy, 2011, “A Derivative-free, 2-Stage Extended Kalman Filter”, Journal of Engineering Mechanics (ASCE), Vol. 137, pp. 537-546.

- Pimprikar N A, Banerjee B, Roy D, Vasu R M and Reid S R, 2010, “New Computational Approaches for Wrinkled and Slack Membranes”, International Journal of Solids and Structures, Vol. 47, pp. 2476-2486.

- Ghosh S and Roy D, 2010, “An Accurate Numerical Integration Scheme for Finite Rotations Using Rotation Vector Parameterization”, Journal of the Franklin Institute, Vol. 347, pp. 1550-1565.

- Ghosh S and Roy D, 2010, “On the Relation between Rotation Increments in Different Tangent Spaces”, Mechanics Research Communications, Vol. 37, pp. 525-530.

- Sunilkumar N and Roy D, 2010, “A Smooth Finite Element Method Based on Reproducing Kernel DMS-Splines”, Computer Modeling in Engineering and Sciences, Vol. 65, pp. 107-153.

- Sunilkumar N and Roy D, 2010, “The Reproducing Kernel DMS-FEM: 3D Shape Functions and Applications to Linear Solid Mechanics”, Computer Modeling in Engineering and Sciences, Vol. 66, pp. 249-284.

- H M Varma, B Banerjee, D Roy, A K Nandakumaran and R M Vasu, 2010, “Convergence analysis of the Newton algorithm and a pseudo-time marching scheme for diffuse correlation tomography”, Journal of the Optical Society of America A, Vol. 27(2), pp. 259-267.

- B Banerjee, D Roy and R M Vasu, 2010, “Self-regularized pseudo time-marching schemes for structural system identification with static measurements”, International Journal for Numerical Methods in Engineering, Vol. 82, pp. 896-916.

- R Sajeeb, C S Manohar and D Roy, 2010, “A semi-analytical particle filter for the identification of nonlinear oscillators”, Probabilistic Engineering Mechanics, Vol. 25, pp. 35-48.

- H M Varma, B Banerjee, A K Nandakumaran, R M Vasu and D Roy, 2009, “Pseudo Time Marching Schemes for Inverse Problems in Structural Health Assessment and Medical Imaging”, Current Science, Vol. 97, pp. 1220-1226.

- P Yalavarthy, S Gupta, D Roy and R M Vasu, 2009, "Singular Value Decomposition based computationally efficient algorithm for rapid dynamic near-infrared diffuse optical tomography", Medical Physics, Vol. 36, pp. 5559-5567.

- B Banerjee, D Roy and R M Vasu, 2009, “Efficient implementations of a pseudodynamical stochastic filtering strategy for static elastography”, Medical Physics, Vol. 36, pp. 3470-3476.

- R Sajeeb, C S Manohar and D Roy, 2009, “A conditionally linearized Monte Carlo filter in nonlinear structural dynamics” International Journal of Nonlinear Mechanics, Vol. 44, pp. 776-790 (Publisher: Elsevier).

- R Sajeeb, D Roy and C S Manohar, 2009, “A Semi-analytical Particle Filter for Identification and Active Control of Nonlinear Oscillators”, Engineering under Uncertainty: Hazards, Assessment, and Mitigation (invited paper to the first issue); Vol. 1, pp. 81- 99; Publisher: Serial Publications.

- A Shaw, K N Kaushik, D Roy, 2009, “Mesh-free Approximations via the Error Reproducing Kernel Method and Applications to Nonlinear Systems Developing Shocks” International Journal of Nonlinear Mechanics, Vol. 44, pp. 417-431 (Publisher: Elsevier).

- B Banerjee, D Roy and R M Vasu, 2009, “A pseudo-dynamical systems approach for a class of inverse problems in engineering”, Proceedings of the Royal Society A 465 (2105): pp. 1561-1579; Publisher: The Royal Society, UK).

- S Ghosh and D Roy, 2009, “A frame-invariant scheme for the geometrically exact beam using rotation vector parametrization”, Computational Mechanics, Vol. 43, pp. 415-429 (Publisher: Springer).

- N Saha and D Roy, 2009, “Extended Kalman Filters Using Explicit and Derivative-Free Local Linearizations”, Applied Mathematical Modelling, Vol. 33, pp. 2545-2563 (Publisher: Elsevier).

- N Saha and D Roy, 2009, “A Girsanov particle filter in nonlinear engineering dynamics”, Physics Letters A: General, Atomic and Solid State Physics, Vol. 373, pp. 627-635 (Publisher: Elsevier).

- B Banerjee, D Roy and R M Vasu, 2009, “A pseudo-dynamic sub-optimal filter for elastography under static loading and measurements”, Physics in Medicine and Biology, Vol. 54, pp. 285-305 (Publisher: The Institute of Physics (IOP)).

- B Banerjee, A Shaw and D Roy, 2009, “The theory of Cosserat points applied to the analyses of wrinkled and slack membranes”, Computational Mechanics, Vol. 43, pp. 415-429 (Publisher: Springer).

- S Ghosh and D Roy, 2008, “Consistent Quaternion Interpolation for Objective Finite Element Approximation of Geometrically Exact Beam”, Computer Methods in Applied Mechanics and Engineering, Vol. 198, pp. 555-571 (Publisher: Elsevier).

- B Banerjee, S Bagchi, R M Vasu and D Roy, 2008, “Quantitative photoacoustic tomography from boundary pressure measurements: non-iterative recovery of optical absorption coefficient from the reconstructed absorbed energy map”, Journal of the Optical Society of America A, Vol. 25, pp. 2347-2356 (Publisher: The Optical Society of America).

- A Shaw and D Roy, 2008, “NURBS-based Parametric Mesh-free Methods”, Computer Methods in Applied Mechanics and Engineering, 197 (17-18), pp. 1541-1567 (Publisher: Elsevier).

- A Shaw, B Banerjee and D Roy, 2008, “A NURBS-based Parametric Method Bridging Mesh-free and Finite Element Formulations”, Computer Modeling in Engineering and Sciences; 26 (1), pp. 31-57 (Publisher: Tech Science Press).

- A Viswanath and D Roy, 2008, “A Multi-step transversal linearization (MTL) method in non-linear dynamics through a Magnus characterization”, Applied Mathematics and Computation; 198 (2), pp. 799-823 (Publisher: Elsevier).

- S Ghosh, C S Manohar and D Roy, 2008, “A sequential importance sampling filter with a new proposal distribution for state and parameter estimation of nonlinear dynamical systems”, Proceedings of the Royal Society A, Vol. 464, pp. 25-47 (Publisher: The Royal Society, UK).

- D Roy, N Saha and M K Dash, 2008, “Weak Forms of the Locally Transversal Linearization (LTL) Technique for Stochastically Driven Nonlinear Oscillators”, Applied Mathematical Modelling, Vol. 32, pp. 1657-1681 (Publisher: Elsevier).

- A Shaw, S Bendapudi and D Roy, 2008 “A Kriging-based error reproducing and interpolating kernel method for improved mesh-free approximations”, International Journal for Numerical Methods in Engineering, Vol. 73, pp. 1434-1467 (Publisher: Wiley Interscience).

- S J Ghosh, D Roy and C S Manohar, 2007, “New forms of extended Kalman filter via transversal linearization and applications to structural system identification”, Computer Methods in Applied Mechanics and Engineering, Vol. 196, pp. 5063-5083 (Publisher: Elsevier).

- A Viswanath and D Roy, 2007, “Multi-step transversal and tangential linearization methods applied to a class of nonlinear beam equations”, International Journal of Solids and Structures, Volume 44, pp. 4872-4891 (Publisher: Elsevier).

- N Saha and D Roy, 2007, “Higher order weak linearizations of stochastically driven nonlinear oscillators”, Proceedings of the Royal Society A, Vol. 463, pp. 1827-1856 (Publisher: The Royal Society, UK).

- R Sajeeb, D Roy and C S Manohar, 2007, “Numerical aspects of a real-time substructuring technique in structural dynamics”, International Journal for Numerical Methods in Engineering, Vol. 72, pp. 1261-1313 (Publisher: Wiley Interscience).

- R Sajeeb, C S Manohar, D Roy, 2007, “Use of Particle Filters in an Active Control Algorithm for Noisy Nonlinear Structural Dynamical Systems”, Journal of Sound and Vibration, Vol. 306, pp. 111-135 (Publisher: Elsevier).

- N Saha and D Roy, 2007, “The Girsanov Linearization Method for Stochastically Driven Nonlinear Oscillators”, Journal of Applied Mechanics, Vol. 74, pp. 885-897 (Publisher: ASME).

- A Shaw and D Roy, 2007, “Analyses of Wrinkled and Slack Membranes through an Error Reproducing Mesh-free Method”, International Journal of Solids and Structures, Volume 44, pp. 3939-3972 (Publisher: Elsevier).

- A Shaw and D Roy, 2007, “A novel form of reproducing kernel interpolation method with applications to nonlinear mechanics”, Computer Modeling in Engineering and Sciences, Vol. 19, pp. 69-98 (Publisher: Tech Science Press).

- S Ghosh and D Roy, 2007, “Multi-step Tangential versus Transversal Linearizations in Nonlinear Dynamics" International Journal for Numerical Methods in Engineering, Vol. 72, pp. 582-605 (Publisher: Wiley Interscience).

- S Ghosh, A Roy and D Roy, 2007, “An adaptation of Adomian decomposition for numeric-analytic integration of strongly nonlinear and chaotic oscillators”, Computer Methods in Applied Mechanics and Engineering, Vol. 196, pp. 1133-1153 (Publisher: Elsevier).

- S Ghosh and D Roy, 2007, “A numeric-analytic form of the Adomian decomposition method for two-point boundary value problems in nonlinear mechanics”, Journal of Engineering Mechanics, Vol. 133, pp. 1124-1133 (Publisher: ASCE).

- N Saha and D Roy, 2007, "Variance-Reduced Weak Monte Carlo Simulations of Stochastically Driven Oscillators of Engineering Interest", Journal of Sound and Vibration, Vol. 305, pp. 50-84 (Publisher: Elsevier).

- A Shaw, D Roy, S R Reid and M Aleyaasin, 2007, “Reproducing kernel collocation method applied to the nonlinear dynamics of pipe whip in a plane”, International Journal of Impact Engineering, Vol. 34, pp. 1637-1654 (Publisher: Elsevier).

- A Shaw and D Roy, 2007, “A NURBS-based error reproducing kernel method with applications in solid mechanics”, Computational Mechanics, Vol 40, pp. 127-148 (Publisher: Springer).

- A Shaw and D Roy, 2007, “Improved Procedures for Static and Dynamic Analyses of Wrinkled Membranes”, Journal of Applied Mechanics, Vol. 74, pp. 590-594 (Publisher: ASME).

- R Kumar, L S Ramachandra, D Roy, 2006, “A multi-step linearization technique for a class of boundary value problems in nonlinear mechanics”, Computational Mechanics, Vol. 39, pp. 73-81 (Publisher: Springer).

- C S Manohar and D Roy, 2006, “Monte Carlo filters for identification of nonlinear structural dynamical systems”, Sadhana, Vol. 31, pp. 399-427 (Publisher: Indian Academy of Sciences).

- A Shaw and D Roy, 2005, “A novel form of interpolating and reproducing kernel method and numerical studies on the nonlinear dynamics of pipe whip”, Journal of Structural Engineering, Vol. 32, pp. 233-238 (Publisher: Structural Engineering Research Center, Madras, India).

- D Roy, 2006, “A family of weak stochastic Newmark methods for simplified and efficient Monte Carlo simulations of oscillators”, International Journal for Numerical Methods in Engineering, Vol. 67, pp. 364-399 (Publisher: Wiley Interscience).

- D Roy and M K Dash, 2005, “A novel stochastic locally transversal linearization technique for engineering dynamical systems: Strong solutions”, Applied Mathematical Modelling, Vol. 29, pp. 913-937 (Publisher: Elsevier).

- D Roy and R Kumar, 2005, “A multi-step transversal linearization method in nonlinear structural dynamics”, Journal of Sound and Vibration, Vol. 287, pp. 203-226 (Publisher: Elsevier).

- D Roy, 2005, "Recent Advances in the Study of Chaos in Engineering Dynamics”, in Advances in Structural Engineering (Eds. K S Jagadish and R N Iyengar), pp. 188-217, (Publisher: University Press).

- D Roy, and M K Dash, 2005, "Explorations of a Family of Stochastic Newmark Methods in Engineering Dynamics", Computer methods in Applied Mechanics and Engineering, Vol. 194, pp. 4758-4796 (Publisher: Elsevier).

- D. Roy, 2004, “A local linearization for numerical integration of nonlinear stochastic dynamical systems of engineering interest”, International Journal of Materials and Structural Reliability, Vol. 2, pp. 75-103 (Publisher: Springer).

- R Kumar, L S Ramachandra and D Roy, 2004, “Techniques based on genetic algorithms for large deflection analysis of beams”, Sadhana, Vol. 29, pp. 589-604 (Publisher: Indian Academy of Sciences).

- M K Dash and D Roy, 2004, “A multiply transversal linearization (MTL) method and applications to nonlinear and stochastic structural dynamics”, Advances in Vibration Engineering, Vol. 3, pp. 123 -131 (Publisher: University Press).

- D Roy, 2004, “A family of lower- and higher-order transversal linearization techniques in non-linear stochastic engineering dynamics”, International Journal for Numerical Methods in Engineering, Vol. 61, pp. 764-790 (Publisher: Wiley Interscience).

- D Roy, 2003, “A weak form of stochastic Newmark method with applications to engineering dynamical systems”, Applied Mathematical Modelling, Vol. 27, pp. 421-436, (Publisher: Elsevier).

- S R Reid and D Roy, 2003, “A Gaussian Sinc collocation approach for a whipping cantilever with a follower force at its tip”, International Journal for Numerical Methods in Engineering, Vol. 58, pp. 869-892, (Publisher: Wiley Interscience).

- Ramachandra, L.S. and Roy, D., 2002, "The Locally Transversal Linearization (LTL) Method Revisited: A Simple Error Analysis", Jl. Sound and Vibration, Vol. 456, pp. 579-589.

- Roy, D. and Dash, M., 2002, "A Stochastic Newmark Method for Engineering Dynamical Systems", Jl. of Sound and Vibration, Vol. 249, pp. 83-100.

- Ramachandra, L. S. and Roy, D., 2001, "A Novel Technique in the Solution of Axisymmetric Large Deflection Analysis of Circular Plates", Jl. Applied Mechanics, Vol. 68, pp. 814-816.

- Ramachandra, L.S. and Roy, D., 2001, "A new method for two-point non-linear boundary value problems in solid mechanics", Jl. Applied Mechanics., Vol. 68, pp. 776-786.

- Roy, D. and Ramachandra, L.S., 2001, "A generalized formulation based on locally transversal linearization for MDOF non-linear oscillators", Jl. of Sound and Vib., Vol. 241, pp. 653-679.

- Roy, D., 2001, "A numeric-analytic technique for non-linear deterministic and stochastic dynamical systems", Proceedings of the Royal Society, Series A., Vol. 457, pp. 539-566.

- Roy, D. and Ramachandra, L. S., 2001, "A semi-analytical locally transversal linearization method for non-linear dynamical systems", Intl. Jl. of Numerical Methods in Engineering, Vol. 51, pp. 203-224.

- Roy, D., 2000, "Phase space linearization for non-linear oscillators: deterministic and stochastic systems", Jl. of Sound and Vib., Vol. 231, No. 2, pp. 307-341.

- Roy, D., 2000, "Explorations of the phase space linearization method for deterministic and stochastic non-linear dynamical systems", Nonlinear Dynamics, Vol.43, pp. 225-258.

- Roy, D., 1999, "Non-chaotic response of non-linear oscillators under combined deterministic and weak stochastic excitations", Jl. Sound and Vib., Vol. 225, pp. 741-766.

- Roy, D., 1998, "A stochastic characterization of chaos", Nonlinear Dynamics, Vol. 39, pp. 193-211.

- Chaika, V. and Roy, D., 1998, "Parametric identification of a class of non-linear dynamical systems using the phase space linearization method", Proc. A of the Royal Soc. (Lond.), Vol. 454, pp. 447-456.

- Iyengar, R.N. and Roy, D., 1998, "Extensions of the phase space linearization (PSL) technique for non-linear oscillators, Jl. Sound and Vib., Vol. 211, pp. 877-906.

- Iyengar, R. N. and Roy, D., 1998, "New approaches for the study of non-linear oscillators", Jl. Sound and Vib., Vol. 211, pp. 843-875

- Iyengar, R N and Roy, D., 1996, “Nonlinear dynamics of a rigid block on a rigid base”, ASME Jl. Applied Mechanics, Vol. 63, pp. 55-61.

- Iyengar, R N and Roy, D., 1996, “Conditional linearization in nonlinear random vibration”, Jl. Engineering Mech., ASCE, Vol. 122, pp. 197-200.

**Journal Publications under Review (some preprints are available in arxiv.org):**

- P Roy, J N Reddy and D Roy, 2019, “A conformal gauge theory of solids: insights into a class of electromechanical and magnetomechanical phenomena”, https://arxiv.org/abs/1902.00858

- B Dhas, A Srinivasa and D Roy, 2019, “A Weyl geometric model for thermo-mechanics of solids and some insights on stress-free configurations”, preprint.

Selected papers published in Conferences /Symposia /Seminars, etc. (Selected articles out of a total of about 80):

- Roy, D., 2002, “A novel form of semi-analytic local linearization for stochastically driven nonlinear oscillators”, Proceedings of the IUTAM on Nonlinear and Stochastic Dynamics (UIUC, USA), pp. 62-69, Kluwer.

- Roy, D., 2002, “A weak stochastic Newmark method”, Proceedings of the Advances in Civil Engineering (Eds. D N Kumar and J N Bandyopadhyay), Vol. 2, pp. 1672-1677.

- D Roy, 2000, “The transversal linearization method for deterministic and stochastic dynamical systems” (Invited Paper), Proceedings of the first International Conference on Vibration Engineering and Technology of Machinery (Eds. K Venkatraman and C S Manohar), October 2000, IISc, Bangalore.

- Iyengar, R.N. and Roy, D., 1998, "Application of conditional linearization in studying non-linear systems", Proc. of IUTAM on Non-linearity and Stochastic Structural Dynamics", pp. 37-43, Kluwer Academic Publishers, Dordrecht.

- D Roy and R Kumar, 2003, “A multi-step transversal linearization method for a class of initial value problems in structural mechanics” (Invited Paper), Proceedings of the Structural Engineering Convention, IIT Kharagpur, SEC-2003; Ed. S K Bhattacharyya), pp. 634-641.

- A Shaw and D Roy, 2004, “An Improved Technique for the Analysis of Wrinkled Membranes” (Invited Paper), Proceedings of the Third International Conference on Theoretical Applied, Computational and Experimental Mechanics (ICTACEM 2004; Ed. P K Sinha, IIT Kharagpur), pp. 93-101.

- D Roy, 2004, “A multi-step transversal linearization procedure for nonlinear dynamical systems of engineering interest”, (extended abstract- SM25-10750), Proceedings of the International Congress on Theoretical and Applied Mechanics (21st ICTAM Warsaw; Eds. W. Gutkowski and T A Kowalewski), Springer.

- N Saha and D Roy, 2005, “Girsanov linearization and level crossing statistics of stochastically driven nonlinear oscillators” (Keynote paper), International Conference on Reliability, Safety and Hazard, Mumbai, pp. 580-586.

- A Shaw and D Roy, 2005, “Mesh free point collocation method and application to nonlinear mechanics”, Proceedings of the Structural Engineering Convention (Eds. J M Chandra Kishen and D Roy), (on CD ROM).

- S R Reid, D Roy and M Aleyaasin, 2005, “Pipe-whip – dealing with instabilities” (Keynote Paper), Proceedings of the Structural Engineering Convention (Eds. J M Chandra Kishen and D Roy), pp. 175-186.

- B Banerjee and D Roy, 2006, “Use of Homogeneous Cosserat Points in the Inverse Elastography of 3-D Soft Tissues with Tumors” (Keynote Paper), Proceedings of the 2nd International Congress on Computational Mechanics and Simulation (Ed. D K Maity); IIT Guwahati, India, pp. 239-248 (also available on CD ROM; downloadable from http://www.iitg.ernet.in/iccms06/cd/papers.zip).

- A Shaw, D Roy, 2006, “Reproducing kernel interpolation and application to solid mechanics”, Proceedings of the National Conference on Recent Advances in Structural Engineering (NCRASE-2006), Jawaharlal Nehru Technological University, College of Engineering, Kakinada, India, pp. 36-45.

- N Saha and D Roy, 2006, “A novel form of Girsanov linearization for stochastically driven nonlinear oscillators”, Proceedings of the 47th AIAA/ASME/ASCE/AHS/AHC Structures, Structural Dynamics and Materials Conference, pp. 8123-8130, (Publisher: AIAA).

- A Roy, S Ghosh and D Roy, 2006, “A numeric-analytic technique for nonlinear two-point boundary value problems in solid mechanics”, Proceedings of the National Conference on Recent Advances in Structural Engineering (NCRASE-2006), Jawaharlal Nehru Technological University, College of Engineering, Kakinada, India, pp. 87-98.

- B Banerjee, S Bagchi, R M Vasu, D Roy, 2007, “Quantitative Photo-acoustic Tomography from Boundary Pressure Measurements: Non-iterative Recovery of Optical Absorption Coefficients from Reconstructed Absorbed Energy Map” (Keynote Paper), Proceedings of OSI Symposium on Optics and Optoelectronics, Tezpur University, Napaam, India, pp. 109-114 (Publisher: The Optical Society of India).

- A Shaw and D Roy, 2007, “An Isogeometric Error Reproducing and Interpolating Kernel Method for Mesh-free Approximations” (Invited Paper), Proceedings of the 14th ICCES Conference, pp. 243-251 (Publisher: Tech Science Press), Miami, USA.

- Roy, D., 2007, “A NURBS-based Parametric Procedure Bridging Mesh-free and Finite Element Formulations” (Invited Paper), Special Symposium on Meshless Methods, University of Patras, Greece (CD ROM; later published as the journal paper in a special issue of Computer Modeling in Engineering and Sciences).

- S. Ghosh and D. Roy, 2007, "A family of Runge-Kutta based explicit methods for rotational dynamics", (IMECE2007), International Mechanical Engineering Congress and Exposition, Proceedings 9 Part A, Seattle, pp. 255-264.

- A Shaw and D Roy, 2007, “Numerical Simulations of Shocks by Error Reproducing Kernel Method”, Proceedings of CENeM 2007 (Civil Engineering in the New Millennium), Howrah, India (CD ROM).

- S Ghosh and D Roy, 2007, “Multi-step tangential versus transversal linearizations in nonlinear dynamics” (Invited Paper), Proceedings of CENeM 2007 (Civil Engineering in the New Millennium), Howrah, India (CD ROM).

- S. Ghosh and D. Roy, 2007, "A geometrically consistent integration algorithm for rotation", Proceedings of the International Conference of Theoretical, Applied, Computational and Experimental Mechanics (ICTACEM 2007), Indian Institute of Technology, Kharagpur, India, pp. 1253-1264.

- S. Ghosh and D. Roy, 2008, “A new rotation vector update for path-independent and strain-objective geometrically exact beam” (Extended Abstract), International Congress of Theoretical and Applied Mechanics (ICTAM2008), University of Adelaide, Adelaide, Australia (Publisher: Springer).

- D Roy and B Banerjee, 2008, “A pseudo-dynamical systems approach for inverse problems in engineering”, IUTAM Symposium on Multi-functional Material Structures and Systems (IUTAM-MMSS), IISc, Bangalore, India (proceedings published by Springer).

- D Roy and B Banerjee, 2009, “A Cosserat point approach for computing the 3D deformed profiles of wrinkled and slack membranes”, Proceedings of ICCMS-09 (3rd International Congress on Computational Mechanics and Simulations; Keynote Address), IIT Bombay, pp. 16-25.

- Roy, D, 2011, “Stabilized mesh-free schemes for impact dynamic simulations”, International Symposium on Mesh-free Methods, IISc, CD-ROM (Invited Paper)

- D Roy and S Narayan, 2011, “A smooth DMS-FEM formulation for Mindlin plate bending problems”, Proceedings of RACE-2011, IT Varanasi (Keynote Address), pp. 7-12.

- D Roy, 2012, “An Extended Principle of Pseudo-Stochastic Filtering for Structural Optimization and Control”, IIT Hyderabad, Keynote Address.

- D. Roy, 2012, “Stabilized Schemes Based on the DMS-FEM and Mesh-free Methods for Simulating a Class of Strain Gradient Plasticity Models”, Invited Talk, International Symposium on the Mechanics of Solids and Structures, September 17-19, University of Aberdeen, UK

- D Roy, 2014, “A New Evolutionary Bayesian Updating Framework for Optimization, Inverse Problems and Dynamic System Identification”, ICCES Distinguished Achievement Medal Acceptance Talk, June 12, 1024 (delivered in Changwong, South Korea)

- 0. D Roy, 2014, “COMBEO: An evolutionary global optimization method based on change of measures”, invited delivered at the University of Tsukuba, Japan, June, 2014.

- D Roy, 2014, “Non-local and dispersive mechanics of the continuum”, Keynote lecture delivered at RTCCE-2014, MNNIT Allahabad, India.

- B Medhi, G M Hegde, K P J Reddy, D Roy and R M Vasu, 2015, “Aberration correction for transport of intensity phase imaging”, Workshop in Recent Advances in Photonics, Bangalore, India, Dec. 16 – 17, DOI: 10.1109/WRAP.2015.7806019

- B Medhi, GM Hegde, KPJ Reddy, D Roy, RM Vasu, 2015, “Orthogonal projection based computationally efficient algorithm for deflection tomography in high speed flow studies”, 29th International Symposium on Shock Waves, Vol. 1, 459-464, Springer.

- M Venugopal, D Roy and R M Vasu, 2016, “An evolutionary Bayesian search scheme for ultrasound modulated optical tomography”, SPIE Medical Imaging Conference, Feb. 27 – Mar. 3, San Diego, USA, DOI: 10.1117/12.2214730.

- B Medhi, G M Hegde, K P J Reddy, R M Vasu and D Roy, 2017, “Handheld Wavefront Measuring Camera for Quantitative Flow Visualization”, 30th International Symposium on Shock Waves, Tel Aviv, Israel (DOI10.1007/978-3-319-44866-4_116).

- S Gupta, T Raveendran, RM Vasu, D Roy, 2017, “Accelerated Particle Filtering with quasi-Newton steps for Diffuse Optical Tomography”, Optical Molecular Probes, Imaging and Drug Delivery, San Diego, USA, 2–5 April 2017, ISBN: 978-1-943580-25-5.

- S Gupta, T Raveendran, R M Vasu and D Roy, 2018, “Pseudo-time Ensemble Kalman Filtering for Ultrasound Modulated Optical Tomography”, Conference on Clinical and Translational Biophotonics, Florida, US, (DOI10.1364/TRANSLATIONAL.2018.JTu3A.46).

Guest Editor for the special issue of Sadhana (Journal of the Indian Academy of Sciences) on Probabilistic Structural Dynamics and Earthquake Engineering (August, 2006)

Guest Editor for the special section of Current Science (Journal of the Indian Academy of Sciences) on “The Science of Civil Engineering: Emerging Trends and Multi-Disciplinary Interfaces”, 2009.

- Roy, D., 2017, “Recovering Visco-Elastic Properties In Soft-Tissues From Localized Vibro-Acoustic Signatures”, Keynote Talk, 13th International Conference on Vibration Problems (ICOVP-2017), IIT Guwahati, Nov. 29 – Dec. 2.

- Roy, D., 2017, “Pseudo-ductility in laminated ceramic composites”, Keynote Talk, INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS AND STRUCTURES (ICCMS 2017), IIT Hyderabad, December 27 – 29.

- Roy, D. 2017, “Conservation laws and symmetry groups in plasticity”, Keynote talk at the International Symposium of Plasticity, Damage and Fracture 2017, January 3 – 9, Puerto Vallarta, Mexico.

- Roy, D, 2016, “A Two-temperature Theory for Metal Plasticity”, Keynote talk at International Conference on Computational and Experimental Mechanics, IIT Bombay.

- Roy, D, 2012, “The stabilized SUPG DMS-FEM applied to the 2D shallow water wave equations”, Keynote Talk to be delivered at the International Symposium of the Mechanics of Solids and Structures (September 10-12, 2012, at the University of Aberdeen, UK)

- Roy, D, 2012, “Numerical stabilization of a strain gradient plasticity model via mesh-free matched filter shape functions” Keynote Talk to be delivered at the International Congress on Computational Mechanics and Simulation (ICCMS-12), IIT Hyderabad, India.

- Roy, D. 2011, “Smooth DMS-FEM Applied to the Mindlin Plate Bending Problem”, Keynote Talk delivered at RACE-2011, October 14-16, 2011 (IT BHU, Varanasi)

- Roy, D, 2011, “Stabilized mesh-free schemes for impact dynamic simulations”, Invited lecture delivered at the “International Symposium on Mesh-free Methods”, Department of Aerospace Engineering, IISc, Bangalore.

- Roy, D., 2009, “Novel Numerical Integrations of Stochastic Differential Equations, their Interfaces with Stochastic Filters and Applications to Biomechanics”, Invited lecture delivered at “Computational Modeling of Brain Dynamics: from stochastic models to Neuroimages”, Alberta, Canada.

- Roy, D., 2009, “New Computational Approaches for Wrinkled and Slack Membranes”, Keynote Lecture at the International Congress on Computational Mechanics and Simulation (ICCMS-09), IIT Bombay, India.

- Roy, D., 2008, “Efficient Monte Carlo simulations of first passage time times in stochastically driven nonlinear oscillators”, delivered in The Fifth International Conference of Applied Mathematics and Computing (FICAMC), Plovdiv, Bulgaria, August 12-18. (this lecture is also being published in a special issue of the International Journal of Pure and Applied Mathematics)

- Roy, D., 2007, “A NURBS-based Parametric Procedure for Mesh-free and Mesh-based Formulations”, delivered on June 16 at the Special Symposium on Meshless Methods, University of Patras, Greece.

- Roy, D., 2006, “The Theory of Cosserat Point Applied to the Inverse Elastography Problem”, delivered at the International Conference on Computational Mechanics, Indian Institute of Technology, Guwahati, India.

- Roy, D., 2006, “The Multi-Step Transversal Linearization Method in Nonlinear Dynamics”, delivered at the International Conference on Advances in Civil Engineering, Bengal Engineering College, West Bengal, India.