Collapse load evaluation of structures with frictional contact supports under combined stresses

Authors:
S. Tangaramvong;F. Tin-Loi
Affiliations:
School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia
Venue:
Computers and Structures
Year:
2011

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Abstract

This paper extends classical limit analysis to structures for which some supports are subjected to ''nonstandard'' unilateral frictional contact with the ground. A typical and commonly adopted model is nonassociative Coulomb friction. For such cases, the use of the classical bound theorems is not possible. Moreover, simply solving the governing equations as a mixed complementarity problem (MCP) does not guarantee that the best bound has been calculated. We have therefore developed an approach that attempts to compute, in a single step, the critical (least) upper bound solution by formulating and solving an instance of the challenging class of optimization problems, known as a mathematical program with equilibrium constraints (MPEC). Two examples are provided to illustrate application of the proposed scheme, as well as to highlight some key features of such structures.