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

Discussion: De Pineres Oscar G. (See full record)


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 | Computer programming | Plastics | Elastoplasticity | Nonlinear analysis | Plastic analysis

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