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Computations in limit analysis for plastic plates
Author(s) -
Christiansen Edmund,
Larsen Søren
Publication year - 1983
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/nme.1620190203
Subject(s) - von mises yield criterion , linearization , limit analysis , limit (mathematics) , limit load , finite element method , mathematics , computation , regular polygon , mathematical optimization , convex optimization , class (philosophy) , mathematical analysis , computer science , structural engineering , algorithm , geometry , engineering , nonlinear system , physics , artificial intelligence , quantum mechanics
A class of mixed finite element discretizations of the problem of limit analysis for plastic plates is analysed. For the discrete problem we discuss a linear programming approach based on linearization of the yield condition and a convex programming approach based on the exact Mises condition. Applying the method to rectangular plates with uniform load and concentrated loads we get improved and new results partly in disagreement with one of our references.