Research Overview
Research Overview
Kumar S., Seidl DT., Granzow BN., Yang J., Fuhg JN., (2025) A comparative study of calibration techniques for finite strain elastoplasticity: Numerically-exact sensitivities for FEMU and VFM. Computer Methods in Applied Mechanics and Engineering, 444-118159.
Kumar S. (2024) Modelling ductile damage in metals and alloys through Weyl condition exploiting local gauge symmetries. International Journal of Solids and Structures, 296-112820.
Kumar S. (2024b). A space–time gauge theory for dynamic plasticity: Non-linear microinertia and its consequences. European Journal of Mechanics-A/Solids, 105 , 105246.
Kumar S. (2024). A space-time gauge theory for modeling ductile damage and its NOSB peridynamic implementation. arXiv preprint arXiv:2403.09685 .
Kumar S. (2024a). Modelling coupled electro-mechanical phenomena in elastic dielectrics using local conformal symmetry. Applied Mathematical Modelling, 126 , 568–583.
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, 126 , 103542.
Roy P., Kumar S., & Roy D. (2019). Cauchy-maxwell equations: A unified field theory for coupled electromagnetism and elasticity. arXiv preprint arXiv:2001.02537 .
Kumar S., Dhas B., & Roy D. (2018). Emergence of pseudo-ductility in laminated ceramic composites. Composite Structures, 204, 664–676.
UNDER REVIEW
S. Kumar, Workshop "On recent advances in indusrial artificial intelligence, data fusion & computing", Axis bank centre for mathematics and computing, Indian Institute of Science, IISc, Bangalore, India, 2023.
S. Kumar and D. Roy, “A space-time gauge theory based on translational symmetry for modelling viscoplasticity in polycrystalline solids”, 16th U.S. National Congresson Computational Mechanics (USNCCM 2021), Illinois, Urbana-Champaign 2021.
S. Kumar and D. Roy, “Space-time conformal gauge symmetry for a unified field theory of electro-magneto-mechanical phenomena” WCCM-ECCOMAS congress, Paris, France, 2020.
S. Kumar, P. Roy and D. Roy, “A conformal gauge theory for coupled electromagnetism and elasticity: Cauchy-Maxwell equations”, Workshop on Non-Classical Mechanics of Materials, IISc Bangalore, 2019.