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A FINITE ELEMENT FORMULATION OF THE RIGID–PLASTIC LIMIT ANALYSIS PROBLEM
Author(s) -
CAPSONI ANTONIO,
CORRADI LEONE
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970615)40:11<2063::aid-nme159>3.0.co;2-#
Subject(s) - finite element method , finite element limit analysis , limit analysis , limit (mathematics) , limit load , mathematics , mixed finite element method , structural engineering , mathematical analysis , engineering
A procedure for the finite element computation of the limit load of rigid‐perfectly plastic solids is presented. The approach is based on the kinematic theorem of limit analysis, which is formulated so as to reduce the problem to the search of the essentially free minimum of a convex, but not everywhere differentiable, function. A conceptually simple solution strategy is presented and its effectiveness is demonstrated with reference to a few significant examples. Plane strain solids composed of materials governed by von Mises plasticity condition are considered, but extensions to a more general context can be envisaged. © 1997 by John Wiley & Sons, Ltd.