Research Article
Dec 1972
Elastic-Plastic Analysis by Quadratic Programming
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VIEW THE REPLYAuthors: Antone F. Sayegh and Moshe F. RubinsteinAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 98, Issue 6
Abstract
The plastic principles of absolute minimum of the rate of total potential energy and total complementary potential are used as tools for fomulating the elastic-plastic analysis of various types of structures as a problem in nonlinear programming. The finite element technique is used to discretize a continuum and thus obtain an admissible field in terms of a finite number of parameters. For an elastic-perfectly plastic material it is shown that a force formulation has a definite advantage in that the knowledge whether a plastic element unloads or remains plastic becomes unnecessary and the problem can be formulated as a quadratic programming problem. Numerical examples illustrate the solution technique.
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Published In
Journal of the Engineering Mechanics Division
Volume 98 • Issue 6 • December 1972
Pages: 1547 - 1572
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© 1972 American Society of Civil Engineers.
History
Published in print: Dec 1972
Published online: Feb 3, 2021
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Antone F. Sayegh
Sr. Engr., C. F. Braun & Co., Alhambra, CA, formerly, Grad. Student, Univ. of California, Los Angeles, Calif.
Moshe F. Rubinstein
Prof., School of Engrg. and Appl. Sci., Chmn., Engrg. Systems Dept., Univ. of California, Los Angeles, Calif.
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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.