Books Published
Book
Madenci, E., Roy, P., & Behera D. (2022), “Advances in Peridynamics” (Springer, eBook ISBN
978-3-030-97858-7, Print ISBN 978-3-030-97857-0) https://link.springer.com/book/10.1007/978-3-030-97858-7
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. https://doi.org/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
List Of Research Publications (only in Peer-reviewed
Journals)
Refereed Articles
27 Choudhary, N., Gupta, T., Dwivedi, A., Samal, B.B., Roy, P., Bhartiya, R., Bhattacharya, B. (2026). “Peridynamics modeling and experimental investigation of wave isolation in shells and mechanical metasurfaces”, Thin-Walled Structures, Elsevier, 225, Part B, 114850. https://doi.org/10.1016/j.tws.2026.114850
26 Mondal, S., Dhua, S., & Roy, P. (2026). An electromechanical coupled peridynamics for investigating dynamic behavior of piezoelectric material. Applied Mathematical Modelling, Elsevier, 157, 116815. https://doi.org/10.1016/j.apm.2026.116815
25 Dey, B., Sajal, & Roy, P. (2025). “Peridynamics modeling of multi-shell structures: Application to metasurfaces”, Thin-Walled Structures, Elsevier, 217, Part B, 113890. https://doi.org/10.1016/j.tws.2025.113890
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, 301, 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, 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
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
Papers in conference abstract volumes / presented
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
11 Dey, B., & Roy, P., “Peridynamics modeling of multi-shell metasurfaces”, 10th International Congress on Computational Mechanics & Simulation (ICCMS), IIT Bhubaneswar, December 17-19, 2025, India (Abstract ID: 060).
10 Ranjana, K.N., & Roy, P., “Two-scale Riemannian geometry based peridynamics computational homogenization technique” 10th International Congress on Computational Mechanics & Simulation (ICCMS), IIT Bhubaneswar, December 17-19, 2025, India (Abstract ID: 065).
9 Choudhary, N., & Roy, P., “Peridynamics plasticity theory for beams”, 10th International Congress on Computational Mechanics & Simulation (ICCMS), IIT Bhubaneswar, December 17-19, 2025, India (Abstract ID: 061).
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)
1 Roy, 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)
Patents
Patent
1 Kumar, K., Sah, B., Sajal, Choudhary, N., & Roy, P. (2025). “A method to measure peridynamics length scale parameter of materials”, Indian Patent (Complete) Application No. 202531119989 filed on 01.12.2025 (Filed, currently under review).
