Research Article
Feb 1980
Constitutive Relations and Solution Schemes in Plastic Analysis
Publication: Journal of the Engineering Mechanics Division
Volume 106, Issue 1
Abstract
Several methods based on a finite element stiffness formulation developed in the last few years to obtain solutions to elastic-plastic problems involving small deformations are reviewed in this paper. Various yield conditions, i.e., von Mises, Tresca, and Approximate Tresca, that have frequently been employed in the development of the plastic stress-strain relations in the incremental form, are presented. Specific attention is drawn to the successful use of the Tresca yield condition. Two solution techniques, i.e., direct stiffness method and quadratic programming technique, are compared in terms of their computational efficiency. Iterative and interpolative schemes that are utilized in an incremental plastic analysis to satisfy the yield condition are given. Comparisons of solutions using constant strain and linear strain triangular elements are presented indicating the advantages of one over the other. A joint application of the substructuring and mesh-refinement schemes in elastic-plastic finite element analysis is demonstrated.
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Published In
Journal of the Engineering Mechanics Division
Volume 106 • Issue 1 • February 1980
Pages: 21 - 36
Copyright
© 1980 American Society of Civil Engineers.
History
Published in print: Feb 1980
Published online: Feb 3, 2021
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Authors
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Subhash C. Anand, M.ASCE
Prof., Dept. of Civ. Engrg., Clemson Univ., Clemson, S.C.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.