Comparing Two Algorithms to Add Large Strains to Small Strain Finite Element Code
Author (s): Rodríguez-Ferran, A. and Huerta, A.Journal: Journal of Engineering Mechanics (ASCE)
Volume: 124, Issue 9
Pages: 939 - 948
Date: 1998
Abstract:
Two algorithms for the stress update (i.e., time-integration of the constitutive equation) in large strain solid mechanics are discussed, with particular emphasis on two issues: the incremental objectivity and the implementation aspects. It is shown that both algorithms are incrementally objective (i.e., they treat rigid rotations properly) and that they can be employed to add large strain capabilities to a small strain finite element code in a simple way. A set of benchmark tests, consisting of simple large deformation paths, have been used to test and compare the two algorithms, both for elastic and plastic analysis. These tests evidence different time-integration accuracy for each algorithm. However, it is also shown that the algorithm which is less accurate in general gives exact results for shear-free deformation paths.
Bibtex:
@article{1998-JEM-ASCE-RH, Author = {Rodr{\'\i}guez-Ferran, A. and Huerta, A.}, title = {Comparing Two Algorithms to Add Large Strains to Small-Strain FE Code}, journal = {Journal of Engineering Mechanics}, volume = {124}, number = {9}, pages = {939-948}, year = {1998}, doi = {10.1061/(ASCE)0733-9399(1998)124:9(939)}, URL = {http://dx.doi.org/10.1061/(ASCE)0733-9399(1998)124:9(939)}, eprint = {http://dx.doi.org/10.1061/(ASCE)0733-9399(1998)124:9(939)} }