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基于参变量变分原理的三维Cosserat体模型弹塑性分析与应变局部化模拟

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Date of Publication:2022-10-10

Journal:工程力学

Affiliation of Author(s):运载工程与力学学部

Volume:29

Issue:12

Page Number:370-376

ISSN No.:1000-4750

Abstract:Based on the parametric variational principle, a quadratic programming
   method is developed for the elastic-plastic finite element analysis of a
   3D Cosserat continuum model. Since the classical continuum model which
   is lack of internal scale parameter suffers from pathological mesh
   dependence in the strain localization analysis, the governing equations
   of the Cosserat continuum model are regularized by adding a rotational
   degrees-of-freedom and internal scale parameters to the conventional
   continuum model. Numerical examples are calculated to demonstrate the
   efficiency of the 3D Cosserat finite element model and the stability of
   the proposed computational algorithm for numerical simulation of strain
   localization problems. Particularly, the mesh independent results are
   ensured.

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