Research

Refereed articles  in international journals 

16 Sajal, Roy, P. (2024), “Finite deformation micropolar peridynamic theory: Variational consistency of wryness measure”, International Journal of Mechanical Sciences, Elsevier, 271, 109306. https://doi.org/10.1016/j.ijmecsci.2024.109306

15 Behera, D., Roy, P., & Madenci, E. (2024), “Peridynamic simulation of creep deformation and damage”, Continuum Mechanics and Thermodynamics, Springer. https://doi.org/10.1007/s00161-024-01295-3

14 Roy, P., Behera, D., & Madenci, E. (2023), “Peridynamic modeling of elastic instability and failure in lattice beam structures”, Computer Methods in Applied Mechanics and Engineering, Elsevier, 415, 116210. https://doi.org/10.1016/j.cma.2023.116210 

13 Sajal, Roy, P. (2023), “Peridynamics modeling of cellular elastomeric metamaterials: Application to wave isolation”, International Journal of Mechanical Sciences, Elsevier, 254, 108456. https://doi.org/10.1016/j.ijmecsci.2023.108456 

12 Behera, D., Roy, P., Anicode, S. V. K., Madenci, E., & Spencer, B. (2022), “Imposition of local boundary conditions in peridynamics without a fictitious layer and unphysical stress concentrations”, Computer Methods in Applied Mechanics and Engineering, Elsevier, 393, 114734. https://doi.org/10.1016/j.cma.2022.114734

11 Behera, D., Roy, P., & Madenci, E. (2021), “Peridynamic modeling of bonded-lap joints with viscoelastic adhesives in the presence of finite deformation”, Computer Methods in Applied Mechanics and Engineering, Elsevier, 374, 113584. https://doi.org/10.1016/j.cma.2020.113584

10 Roy, P., Behera, D., & Madenci, E. (2020), “Peridynamic Simulation of Finite Elastic Deformation and Rupture in Polymers”, Engineering Fracture Mechanics, Elsevier, 236, 107226. https://doi.org/10.1016/j.engfracmech.2020.107226 

9 Behera, D., Roy, P., & Madenci, E. (2020), “Peridynamic Correspondence Model for Finite Elastic Deformation and Rupture in Neo-Hookean Materials”, International Journal of Non-Linear Mechanics, Elsevier, 126, 103564. https://doi.org/10.1016/j.ijnonlinmec.2020.103564

8 Roy, P., Kumar, S., & Roy, D. (2020), “Cauchy–Maxwell Equations: A Space–Time Conformal Gauge Theory for Coupled Electromagnetism and Elasticity”, International Journal of Non-Linear Mechanics, Elsevier, 126, 103542. https://doi.org/10.1016/j.ijnonlinmec.2020.103542 

7 Roy, P., Roy, D., & Reddy, J. N. (2019), “A Conformal Gauge Theory of Solids: Insights into a Class of Electromechanical and Magnetomechanical Phenomena”, Journal of the Mechanics and Physics of Solids, Elsevier, 130, 35-55. https://doi.org/10.1016/j.jmps.2019.05.008 

6 Roy, P., & Roy, D. (2019), “Peridynamics Model for Flexoelectricity and Damage”, Applied Mathematical Modelling, Elsevier, 68, 82-112. https://doi.org/10.1016/j.apm.2018.11.013

5 Chowdhury, S. R., Roy, P., Roy, D., & Reddy, J. N. (2019), “A Modified Peridynamics Correspondence Principle: Removal of Zero-energy Deformation and Other Implications”, Computer Methods in Applied Mechanics and Engineering, Elsevier, 346, 530-549. https://doi.org/10.1016/j.cma.2018.11.025

4 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, Elsevier, 180, 972-993. https://doi.org/10.1016/j.compstruct.2017.08.071

3 Roy, P., Pathrikar, A., Deepu, S. P., & Roy, D. (2017), “Peridynamics Damage Model through Phase Field Theory”, International Journal of Mechanical Sciences, Elsevier, 128, 181-193. https://doi.org/10.1016/j.ijmecsci.2017.04.016

2 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, Elsevier, 327, 369-391. https://doi.org/10.1016/j.cma.2017.07.034

1 Chowdhury, S. R., Roy, P., Roy, D., & Reddy, J. N. (2016), “A Peridynamic Theory for Linear Elastic Shells”, International Journal of Solids and Structures, Elsevier, 84, 110-132. https://doi.org/10.1016/j.ijsolstr.2016.01.019

Postdoc

During my postdoctoral research works at The University of Arizona, I contributed to the following:

• Finite deformation peridynamics (PD) models for progressive damage and rupture of polymers.

• PD models for creep and stress relaxation using viscoelasticity and applied it to model the deformation and failure in adhesively bonded single and double lap joints.

• PD models for thermo-oxidative degradation of polymers.

Ph.D.

During my doctoral studies at IISc Bangalore, I made significant contributions to the following areas of peridynamics (PD), phase field theory, and gauge theory of solids:

• Developed PD models for plates, shells, and axisymmetric structures to predict fracture and fragmentation.

• Formulated PD plasticity models for axisymmetric structures.

• Formulated phase field theory in the framework of PD to arrive at a continuum damage model.

• Studied delamination of composite structures using phase field based PD theory.

• Investigated inelastic response of ceramics through phase field based PD theory.

• Studied multiphysics problems, e.g. flexoelectricity using PD phase field to investigate nanoscale fracture propagation in solid dielectrics.

• Proposed a general procedure for solving discretized PD continuum and atomic systems using Hamilton-Jacobi theory and time-dependent perturbation techniques.

• Developed a sub-horizon based PD theory to eliminate zero-energy modes from the correspondence framework of non-ordinary state based PD.

• Carried out numerical simulations in PD for impact dynamic problems involving plasticity and damage.

• Formulated a conformal gauge theory of solids and shown how various electro-magneto-mechanical phenomena e.g. piezoelectricity, flexoelectricity etc. can emerge from local symmetry considerations of the Lagrangian.

• Extended the conformal gauge theory by incorporating time which led to Cauchy-Maxwell equations.

M.Tech.

During my M.Tech. at IIT Delhi, I analyzed the performance of Chamera dam-reservoir-foundation system (located in Himachal Pradesh, India) under simulated scenario earthquakes using a 3D finite element model in ABAQUS software.