Linear programming methods of displacement analysis in elastic‐plastic frames
- 1 July 1971
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 3 (3) , 415-423
- https://doi.org/10.1002/nme.1620030310
Abstract
The analysis is aimed at determination of displacements in elastic‐perfectly plastic frames, in the case of monotonically increasing loads. Spread of partial plasticity from hinges and change of geometry on the conditions of equilibrium are not included. Extremum energy principles and linear programming methods are employed to solve the problem. Both the kinematic and the static formulations of the problem are presented. The mathematical models of the formulations constitute a dual pair of linear programming problems.Keywords
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- Virtual work, linear programming and plastic limit analysisProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1959
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