iGIMP: An implicit generalised interpolation material point method for large deformations
作者： T.J. Charlton , W.M. Coombs , C.E. Augarde
DOI: 10.1016/J.COMPSTRUC.2017.05.004
关键词:
摘要: The Material Point Method (MPM) uses a combined Eulerian-Lagrangian approach to solve problems involving large deformations. A problem domain is discretised as material points which are advected on background grid. Problems encountered with the original MPM when cross between grid cells, and this has been tackled by development of Generalised Interpolation MPM, where points’ domains influence extend beyond currently occupied cell. In paper, (GIMP) implemented implicitly in manner that allows global stiffness matrix be constructed similar Finite Element (FEM) combining contributions from individual elements An updated Lagrangian finite deformation framework used ensure non-linear behaviour within each loadsteps. weighting functions for make GIMP method different standard presented implementation explained. Specific details computing gradient consistent updating point outlined, both unclear published literature. It then shown through numerical examples small elastic elasto-plastic problems, implicit agrees well analytical solutions exhibits convergence properties linear quadratic FEM.
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