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

Horák, Martin, and Jirásek, Milan. "An extension of small-strain models to the large-strain range based on an additive decomposition of a logarithmic strain." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 88-93. <http://eudml.org/doc/271273>.

@inProceedings{Horák2013,
abstract = {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 is based on the additive decomposition of the logarithmic strain and preserves the structure of the small-strain theory.},
author = {Horák, Martin, Jirásek, Milan},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {elasto-plasticity; damage evolution; non-local models; generalized stain measures; logarithmic strain},
location = {Prague},
pages = {88-93},
publisher = {Institute of Mathematics AS CR},
title = {An extension of small-strain models to the large-strain range based on an additive decomposition of a logarithmic strain},
url = {http://eudml.org/doc/271273},
year = {2013},
}

TY - CLSWK
AU - Horák, Martin
AU - Jirásek, Milan
TI - An extension of small-strain models to the large-strain range based on an additive decomposition of a logarithmic strain
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 88
EP - 93
AB - 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 is based on the additive decomposition of the logarithmic strain and preserves the structure of the small-strain theory.
KW - elasto-plasticity; damage evolution; non-local models; generalized stain measures; logarithmic strain
UR - http://eudml.org/doc/271273
ER -