Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 49, Issue 4, Pages 720-733Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2010.06.015
Keywords
Displacement discontinuity; Cosserat theory; 3D FEM; Return mapping algorithm; Localization phenomena
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In this paper, a micro-polar continuum model is presented based on the Cosserat theory for 3D modeling of localization phenomena. Since the classical continuum model suffers from the pathological mesh-dependence in strain localization problem, the governing equations are regularized by adding the rotational degrees-of-freedom to conventional degrees-of-freedom. The fundamental relations in three-dimensional Cosserat continuum are presented and the internal length parameters are introduced in the elasto-plastic constitutive matrix to control the shear bandwidth. The mesh independency of Cosserat model in strain-softening problem is verified and the effect of internal parameters is investigated. The efficiency of proposed computational algorithm is demonstrated by 3D numerical simulations of the vertical cut, slope problem and a tensile specimen. A comparison is performed between the classical and Cosserat theories and the effect of internal length parameter is demonstrated. (C) 2010 Elsevier B.V. All rights reserved.
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