Computational algorithm for homogenized coefficients of hyperelastic heterogeneous materials undergoing large deformations

Lukeš, Vladimír, Rohan, Eduard, and Cimrman, Robert. "Computational algorithm for homogenized coefficients of hyperelastic heterogeneous materials undergoing large deformations." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2004. 149-154. <http://eudml.org/doc/271377>.

@inProceedings{Lukeš2004,
abstract = {This article deals with an algorithm for numerical modelling of hyperelastic heterogeneous materials undergoing large deformations. The microstructure of these materials is changing (deforming) during a loading process, the changes in the microstructure depend on macroscopic deformations. To compute macroscopic responses, we must know material stiffness parameters and stresses in the heterogeneous structure. These effective parameters are obtained by solving microscopic problems. The number of microproblems is enormous, because in each iteration step (due to geometrical and material nonlinearities) it is needed to evaluate the effective material parameters in each macroscopic quadrature point. To reduce a computational time a parallel algorithm is presented.},
author = {Lukeš, Vladimír, Rohan, Eduard, Cimrman, Robert},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {149-154},
publisher = {Institute of Mathematics AS CR},
title = {Computational algorithm for homogenized coefficients of hyperelastic heterogeneous materials undergoing large deformations},
url = {http://eudml.org/doc/271377},
year = {2004},
}

TY - CLSWK
AU - Lukeš, Vladimír
AU - Rohan, Eduard
AU - Cimrman, Robert
TI - Computational algorithm for homogenized coefficients of hyperelastic heterogeneous materials undergoing large deformations
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2004
CY - Prague
PB - Institute of Mathematics AS CR
SP - 149
EP - 154
AB - This article deals with an algorithm for numerical modelling of hyperelastic heterogeneous materials undergoing large deformations. The microstructure of these materials is changing (deforming) during a loading process, the changes in the microstructure depend on macroscopic deformations. To compute macroscopic responses, we must know material stiffness parameters and stresses in the heterogeneous structure. These effective parameters are obtained by solving microscopic problems. The number of microproblems is enormous, because in each iteration step (due to geometrical and material nonlinearities) it is needed to evaluate the effective material parameters in each macroscopic quadrature point. To reduce a computational time a parallel algorithm is presented.
UR - http://eudml.org/doc/271377
ER -