ECCOMAS 2024

Total Lagrangian Material Point Method: Material Response in Extreme Loading Conditions

  • Singh, Saurabh (Indian Institute of Technology Delhi)
  • Singh, Harpreet (Indian Institute of Technology Goa)
  • Mahajan, Puneet (Indian Institute of Technoogy Delhi)

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The Total Lagrangian Material Point Method (TLMPM) has emerged as a powerful numerical tool for understanding material deformation behavior under extreme loading conditions. This work presents the analysis of material response subjected to severe loading conditions using the TLMPM. The study explores the numerical framework of TLMPM and provide valuable insights into dynamic behavior of materials which are crucial in various domains like aerospace, defense and space industry. The Material Point Method combines the advantages of Lagrangian and Eulerian methods to simulate material deformation with large deformations and complex geometries. In this method, the material domain is discretized into material points which carry all the simulation details like mass, momentum and energy. There is a background mesh which is utilized for data interpolation to avoid neighbor searching algorithms which is common nuisance in most particle or mesh free methods. In this study, we use an updated MPM formulation based on total Lagrangian framework which overcomes several drawbacks or limitations, mainly numerical fracture, faced by previous frameworks. The high-strain rate loading conditions may arise in various areas like ballistic impact of bullet on vehicles, structures or helmets. The accurate representation of material behavior under such loading require robust and reliable material models which can capture all regimes of deformations behavior like elasticity, plasticity, damage initiation and propagation. In this study, we employ Johnson-Cook material model to capture all these behavior. Overall, this study demonstrates the applicability of the Total Lagrangian MPM method for simulating the deformation of material under high strain-rate loading conditions. The insights gained from this study can help improve the deformation behavior during ballistic impact to enhance structural strength.