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A nonlocal plasticity formulation for the material point method

机译:用于材料点法的非局部可塑性公式

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摘要

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.
机译:设计了一种新的多元定点迭代方案,以解决使用材料点法(MPM)的控制非局部塑性的耦合动态积分方程。 MPM网格用于粒子-粒子通信的新颖用法导致了一种简单有效的无矩阵方法。此外,开发了一种导出该方法收敛准则的简单方法,并将其应用于两个经典的验证问题,这些问题众所周知是与局部模型相关的网格,但与新的非局部MPM公式无关。

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