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The Total Lagrangian Material Point Method (MPM) has emerged as a powerful numerical tool for simulating large deformation problems in several domain.The MPM method combines the advantages of Lagrangian and Eulerian methods to simulate material deformation with large deformations and complex geometries. In this study, we use the MPM method to investigate the tensile behavior of a metal specimen under high strain-rate deformation conditions.
The simulation is conducted using a 3D numerical model of a steel specimen under uniaxial tension, with the MPM code developed using 'Julia' programming language. The Johnson-Cook plasticity model is used to simulate the non-linear deformation. It investigate the effects of high strain rates on the tensile behavior of the metal material. The results of the simulation are compared with experimental data for validation.
The simulation results show that the MPM method accurately captures the stress-strain behavior of the steel material under high strain-rate deformation conditions. It also provides insights into the deformation behavior of the material, including the formation of necking and the onset of plastic deformation. 
Overall, this study demonstrates the applicability of the Total Lagrangian MPM method for simulating the tensile deformation of metals under high strain-rate deformation conditions. The insights gained from this study can help improve the deformation behavior during ballistic impact of metal layered laminates.