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Abstract

The simulation of large deformations of matter, using continuum methods can be very involved due to frequent remeshing, when using Eulerian approaches (FEM). Lagrangian methods offer more flexibility in adjusting to local deformations. Here we focus on the material point method (MPM) and its variants which are representatives of a hybrid Euler-Lagrangian approach, suitable to simulating large deformations. Due to their local operations, the method can be parallelised using a domain decomposition strategy leading to a massively scalable and highly parallel code. Only recently has MPM been used for materials science problems and investigations have been started to include accurate boundary conditions (BC) for various scenarios. In some cases drastic boundary effects occur using BC known from literature. A new approach for MPM is presented, based on the concept of "mirror charges", reducing the artefacts drastically and leading to qualitative and quantitative correct simulation results.