An MPEC approach for the critical post-collapse behavior of rigid-plastic structures

Tangaramvong, S, Tin-Loi, F and Senjuntichai, T 2011, 'An MPEC approach for the critical post-collapse behavior of rigid-plastic structures', International Journal of Solids and Structures, vol. 48, no. 19, pp. 2732-2742.

Document type: Journal Article
Collection: Journal Articles

Title An MPEC approach for the critical post-collapse behavior of rigid-plastic structures
Author(s) Tangaramvong, S
Tin-Loi, F
Senjuntichai, T
Year 2011
Journal name International Journal of Solids and Structures
Volume number 48
Issue number 19
Start page 2732
End page 2742
Total pages 11
Publisher Pergamon
Abstract This paper presents a numerical method to identify and trace the critical post-collapse response of rigid perfectly-plastic structures. To account for the possibility of multiple equilibrium paths, the critical one is directly identified using the minimum 2nd-order work criterion. Our proposed enhanced sequential limit analysis is formulated as an instance of the challenging class of optimization problems known as a mathematical program with equilibrium constraints (MPEC). This MPEC formulation minimizes the 2nd-order work expression subject to the set of constraints describing the complete complementarity system (in mixed static-kinematic variables) governing simultaneously the two adjacent equilibrium configurations, namely the current one and its neighboring state. We use a nonlinear programming based algorithm, involving relaxation of the complementarity terms, to solve the MPEC. Four numerical examples are provided to illustrate application of the proposed scheme.
Subject Structural Engineering
Numerical Modelling and Mechanical Characterisation
Keyword(s) Rigid-plasticity
Sequential limit analysis
Large deformation
DOI - identifier 10.1016/j.ijsolstr.2011.05.022
Copyright notice © 2011 Elsevier Ltd. All rights reserved.
ISSN 0020-7683
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