1. Learn from the masters. 2. Think outside of the box. 3. Explore for the exploration sake. 4. Search for unexpected connections among various fields. - Manjul Bhargava
Publications
Refereed articles in international journals
24 Sah, B., Sajal, Choudhary, N., Kumar, K., & Roy, P. (2025). “Peridynamics model of viscoelasticity for beams and lattice structures”, International Journal of Mechanical Sciences, Elsevier, 110545. https://doi.org/10.1016/j.ijmecsci.2025.110545
23 Kumar, K., Choudhary, N., Sajal, Sah, B., & Roy, P. (2025). “Peridynamics model of viscoelasticity for shells and metasurfaces”, Computer Methods in Applied Mechanics and Engineering, Elsevier, 444, 118169. https://doi.org/10.1016/j.cma.2025.118169
22 Choudhary, N., Sajal, & Roy, P. (2025). “Peridynamics beam plasticity theory: Yield surface for general cross-sectional geometry”, International Journal of Mechanical Sciences, Elsevier, 295, 110249.https://doi.org/10.1016/j.ijmecsci.2025.110249
21 Sajal, & Roy, P. (2025). “Peridynamics Modeling of Locally Resonant Metamaterials”, Journal of Peridynamics and Nonlocal Modeling, Springer, 7 (3).https://doi.org/10.1007/s42102-025-00127-5
20 Ranjana, K.N., Sajal, & Roy, P. (2025), “Riemannian geometry based peridynamics computational homogenization method for cellular metamaterials”, Computer Methods in Applied Mechanics and Engineering, Elsevier, 436, 117714.https://doi.org/10.1016/j.cma.2024.117714
19 Sajal, & Roy, P. (2025). “Peridynamics model of torsion-warping: Application to lattice beam structures”, Thin-Walled Structures, Elsevier, 206, Part A, 112603.https://doi.org/10.1016/j.tws.2024.112603
18 Mahadeshwar, V., Sajal, & Roy, P. (2024), “Finite deformation peridynamics shell theory: Application to mechanical metasurfaces”, Thin-Walled Structures, Elsevier, 205, Part B, 112401.https://doi.org/10.1016/j.tws.2024.112401
17 Kumar, A., Sajal, & Roy, P. (2024), “Peridynamics contact model: Application to healing using phase field theory”, International Journal of Mechanical Sciences, Elsevier, 280, 109553. https://doi.org/10.1016/j.ijmecsci.2024.109553
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
10Roy, 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
8Roy, 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
7Roy, 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
6Roy, 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
4Roy, 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
3Roy, 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
Book
Madenci, E., Roy, P., & Behera D. (2022), “Advances in Peridynamics” (Springer, eBook ISBN
Sample codes are available in supplementary materials.
Book chapters
3 Roy P., Behera D., Madenci E., Oterkus S. (2022) Peridynamic Modeling of Thermo-oxidative Degradation in Polymers. In: van Driel W.D., Yazdan Mehr M. (eds) Reliability of Organic Compounds in Microelectronics and Optoelectronics. Springer, Cham.https://doi.org/10.1007/978-3-030-81576-9_4
2 Roy, P., Pathrikar, A., & Roy, D., “Phase Field based Peridynamics Damage Model: Application to Delamination of Composite Structures and Inelastic Response of Ceramics”, Peridynamic Modeling, Numerical Techniques, and Applications, 1st Edition, Editors: Erkan Oterkus, Selda Oterkus, & Erdogan Madenci, Elsevier, 1st May 2021, Paperback ISBN: 9780128200698. 10.1016/B978-0-12-820069-8.00004-4
1 Roy, P., Pathrikar, A., & Roy, D., “Peridynamics Damage Model through Phase Field Theory”, Peridynamic Modeling, Numerical Techniques, and Applications, 1st Edition, Editors: Erkan Oterkus, Selda Oterkus, & Erdogan Madenci, Elsevier, 1st May 2021, Paperback ISBN: 9780128200698. 10.1016/B978-0-12-820069-8.00007-X
Keynote address
1Roy, P.,“Nonclassical Continuum Models for Solids”, Technical Session - 01, International Conference on Systems, Energy and Environment (ICSEE2022) at Government College of Engineering (GCE), Kannur, August 5, 2022, Kerala, India. (online mode)
Session chair
1 8th International Congress on Computational Mechanics & Simulation (ICCMS), IIT Indore, December 9-11, 2022, India (Chaired 2 technical sessions)
Invited talks
1 Title of the talk: Peridynamics modeling of damage, wave propagation, and contact-impact problems. (Presented in online mode on 09.07.2024). Program: EDP program from 8-12 July 2024 at IIIF Kolkata on "Blast Resilience of Civil Infrastructures: Emerging Global Trends".
Conference papers and presentations
2 Sajal, & Roy, P., "A finite deformation micropolar peridynamic theory and its application to metamaterials", 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics (WCCM 2024 / PANACM 2024), 21-26 July 2024, Vancouver, Canada.https://doi.org/10.23967/c.wccm.2024.067
(My Ph.D. student Mr. Sajal received DST-SERB ITS Travel Grant from the Department of Science and Technology (DST) for presenting this work)
1 Behera, D., Roy, P., Madenci, E., & Oterkus, S. (2021, June). Prediction of thermal oxidation damage in polymers by using peridynamics. In 2021 IEEE 71st Electronic Components and Technology Conference (ECTC) (pp. 1457-1463). IEEE.10.1109/ECTC32696.2021.00232
Conference presentations
8 Sajal, & Roy, P., "Peridynamics Simulation of Wave Isolation in Metamaterials", 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), 3rd - 7th June 2024, Lisbon, Portugal (ID: 356).
7 Sajal, & Roy, P., “Study of wave propagation in polymers in the presence of local elastic instability and rupture using peridynamics”, 8th International Congress on Computational Mechanics & Simulation (ICCMS), IIT Indore, December 9-11, 2022, India (Reference Id: ICCMS21_1657817514). (Presenting author)
6 Behera, D., Roy, P., Madenci, E., Spencer, B., 2021, “An Approach to Impose Boundary Conditions in Peridynamics: Removal of Displacement Kinks Without a Fictitious Layer,” ASME 2021 International Mechanical Engineering Congress and Exposition, Virtual Conference, IMECE2021-71883.
5 Behera, D., Roy, P., and Madenci, E., 2021, “Recent progress in peridynamic theory,” 2nd International Workshop on Plasticity, Damage and Fracture of Engineering Materials, Ankara, Turkey.
4 Madenci, E., Behera, D., and Roy, P., 2021, “Recent progress in peridynamic theory,” The International Workshop of Discrete Models, (Virtual), Brazil.
3 Madenci, E., Roy P.,&Behera, D., “Peridynamics Implementation of Liu Murakami Creep Damage Model in Moose Framework”, IMECE2020-25220, ASME's International Mechanical Engineering Congress and Exposition(IMECE), Virtual Conference: November 16 – 19, 2020.
2 Roy, P., & Roy, D., “A Peridynamics Theory for Axisymmetric Structures”, 19th International Conference on New Trends in Fatigue and Fracture, October 8-10, 2019, Tucson, Arizona, USA. (presenting author)
1Roy, P., & Roy, D., “Phase Field based Peridynamics Damage Model and Applications to Composite Delamination and Damage in Ceramics”, IMECE2017-72950, ASME's International Mechanical Engineering Congress and Exposition(IMECE), November 3-9, 2017, Tampa, Florida, USA. (presenting author)
Workshop organized
1 Organized a Two-Day Workshop as co-coordinator on "Recent Advancements and Best Practices in Civil Engineering with Emphasis on Application of High-Strength Reinforcement Bars in Concrete Construction", sponsored by TATA TISCON on 3rd and 4th Jan 2025 and delivered a lecture on “Direct Stiffness Method”.
Guest lectures organized
2 “CFD Modeling of Supercritical Narrow Channel Flows using OpenFOAM” by Mr. Subhojit Kadia on 12.04.2024 in the Civil Engineering Department, IIT (ISM) Dhanbad.
1 “An Inference Framework to Transfer Thermo-Elastic Properties of Short Fiber-Reinforced Polymers across Different Extrusion Deposition Additive Manufacturing Systems" by Dr. Gourab Ghosh on 24.04.2023 (online mode) in the Civil Engineering Department, IIT (ISM) Dhanbad.
Research highlights
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.