A nonlocal plasticity formulation for the material point method

作者：Burghardt J^*; Brannon R; Guilkey J

来源：Computer Methods in Applied Mechanics and Engineering, 2012, 225: 55-64.

DOI：10.1016/j.cma.2012.03.007

• Nonlocal plasticity
• Material point method
• Localization
• Integral equations
• Fixed-point iteration

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.

• 出版日期2012