Elastic-Plastic Analysis by Quadratic Programming

by Antone F. Sayegh, Sr. Engr.; C. F. Braun & Co., Alhambra, CA; formerly, Grad. Student, Univ. of California, Los Angeles, CA,
Moshe F. Rubinstein, Prof., School of Engrg. and Appl. Sci., Chmn., Engrg. Systems Dept.; Univ. of California, Los Angeles, CA,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 6, Pg. 1547-1572

Document Type: Journal Paper


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.

Subject Headings: Elastic analysis | Plastics | Computer programming | Elastoplasticity | Plastic analysis | Nonlinear analysis | Finite element method | Parameters (statistics)

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