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A nonlocal plasticity formulation for the material point method. (English) Zbl 1253.74021
Summary: A new multi-variate fixed-point iteration scheme is devised for solving the coupled dynamic integral equations governing nonlocal plasticity using the material point method (MPM). Novel use of the MPM grid for particle-particle communications results in a simple and efficient, matrix-free method. Moreover, a straightforward method for deriving a convergence criterion for this method is developed and applied to two classical verification problems that are well known to be mesh dependent with a local model, but are shown to be mesh-independent with the new nonlocal MPM formulation.

74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
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