Engineering Mechanics

Proceedings Vol. 17 (2011)

ENGINEERING MECHANICS 2011

Copyright © 2011 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Horák M., Jirásek M.
pages 195 - 198, full text

This paper deals with a damage-plasticity model combining Mises plasticity with isotropic damage. Due to softening induced by damage growth, the governing differential equations lose ellipticity, which leads to an ill-posed boundary value problem. From the numerical point of view, ill-posedness is manifested by pathological sensitivity of the results to the size of finite elements. To avoid this undesired behavior, the model is regularized by a nonlocal integral formulation or, alternatively, by an implicit gradient formulation. The difference between the formulations is discussed and the behavior of both regularized models is illustrated by a numerical example.

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