Engineering Mechanics

Proceedings Vol. 19 (2013)

ENGINEERING MECHANICS 2013

Copyright © 2013 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Horák M., Jirásek M.
pages 173 - 184, full text

Damage mechanics is a suitable framework for description of the behavior of quasibrittle materials. However, the classical theory fails after the loss of ellipticity of the governing differential equation. From the numerical point of view, loss of ellipticity is manifested by a pathological dependence of the results on the size and orientation of finite elements. To avoid such an undesired behavior, the model can be regularized by an implicit gradient formulation. However, this enhancement in its usual form leads to excessive energy dissipation near nonconvex boundaries (e.g. notches and obtuse corners). This paper describes two modifications of the standard gradient-enhanced damage formulation and their implementation into a finite element code. The difference between the formulations is illustrated by a numerical example.

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