An extension of small-strain models to the large-strain range based on an additive decomposition of a logarithmic strain
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 to the large-strain regime. The large strain model …
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 to the large-strain regime. The large strain model …
[PDF][PDF] AN EXTENSION OF SMALL-STRAIN MODELS TO THE LARGE-STRAIN RANGE BASED ON AN ADDITIVE DECOMPOSITION OF A LOGARITHMIC STRAIN
J Chleboun, K Segeth, J Šıstek… - Programs and Algorithms …, 2013 - academia.edu
This paper describes model combining elasticity and plasticity coupled to isotropic damage.
However, the 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 to the large-strain regime. The large strain model …
However, the 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 to the large-strain regime. The large strain model …
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