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An extension of small-strain models to the large-strain range based on an additive decomposition of a logarithmic strain

Horák, MartinJirásek, Milan — 2013

Programs and Algorithms of Numerical Mathematics

This paper describes model combining elasticity and plasticity coupled to isotropic damage. However, the conventional theory fails after the loss of ellipticity of the governing differential equation. From the numerical point of view, loss of ellipticity is manifested by the pathological dependence of the results on the size and orientation of the finite elements. To avoid this undesired behavior, the model is regularized by an implicit gradient formulation. Finally, the constitutive model is extended...

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