Interval Limit Analysis of Rigid Perfectly Plastic Structures
Publication: Journal of Engineering Mechanics
Volume 141, Issue 1
Abstract
This article presents a novel extended limit analysis approach that determines the sharp maximum and minimum bounds on the collapse load of rigid perfectly plastic structures simultaneously subject to uncertain but bounded loading magnitudes and plastic material capacities. The governing formulation is cast as a linear programming problem with interval coefficients. Linearity is achieved by a suitable piecewise linearization of nonlinear yield surfaces. The proposed algorithm is founded on a characteristic formula concept and an appropriate interval arithmetic interpretation to transform the interval limit analysis problem into two deterministic linear programming problems that can be solved by any available linear programming solver.
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Acknowledgments
This research was supported by the Australian Research Council through ARC Discovery Grants. The authors thank the reviewers for their constructive comments on an earlier version of the manuscript.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 1 • January 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Sep 11, 2013
Accepted: Jul 18, 2014
Published online: Aug 19, 2014
Published in print: Jan 1, 2015
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