Accuracy of Two Stress Update Algorithms for Shear-Free Large Deformation Paths
Publication: Journal of Engineering Mechanics
Volume 125, Issue 6
Abstract
The behavior of two stress update algorithms for shear-free large deformation paths is analyzed. The first algorithm has a truncation error of order 1. The second algorithm has a truncation error of order 2. As a consequence, the global performance of the second algorithm is clearly superior. However, for the particular case of shear-free deformation paths, the first algorithm correctly predicts null shear stresses, while the second one does not. This behavior was reported in a previous paper for an extension-rotation test. In this note a general shear-free deformation path is considered in full detail.
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References
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Bathe, K. J., Ramm, E., and Wilson, E. L. ( 1975). “Finite element formulations for large deformation dynamic analysis.” Int. J. Numer. Methods in Engrg., 9, 353–386.
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Pinsky, P. M., Ortiz, M., and Pister, K. S. ( 1983). “Numerical integration of rate constitutive equations in finite deformation analysis.” Comp. Methods Appl. Mech. Engrg., 40, 137–158.
3.
Rodríguez-Ferran, A., Pegon, P., and Huerta, A. ( 1997). “Two stress update algorithms for large strains: Accuracy analysis and numerical implementation.” Int. J. Numer. Methods in Engrg., 40, 4363–4404.
4.
Rodríguez-Ferran, A., and Huerta, A. (1998). “Comparing two algorithms to add large strains to a small strain finite element code.”J. Engrg. Mech., ASCE, 124, 939–948.
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Published In
Journal of Engineering Mechanics
Volume 125 • Issue 6 • June 1999
Pages: 715 - 717
History
Published online: Jun 1, 1999
Published in print: Jun 1999
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