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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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