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Numerical limit analysis of perforated plates
Author(s) -
Winnicki Lech,
Kwieciński Marek,
Kleiber Michał
Publication year - 1977
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.1620110312
Subject(s) - von mises yield criterion , finite element method , geometry , plane stress , mathematics , quadrilateral , displacement (psychology) , stiffness , boundary value problem , equilateral triangle , limit (mathematics) , constant (computer programming) , enhanced data rates for gsm evolution , mathematical analysis , mechanics , structural engineering , physics , engineering , psychology , telecommunications , computer science , psychotherapist , programming language
Full limit analysis is preseted of a thin plate under plane stress, perforated with circular holes arranged in a regular penetration pattern. The material is assumed to be elastic–perfectly plastic and to obey the Huber–Mises yield condition together with its associated flow law. The finite element tangential stiffness method is employed. Triangular constant‐strain elements are used, the load being generated by means of constant edge displacements at the periphery of a suitably selected subregion. Load‐displacement diagrams are obtained for various edge displacement programs and then an interaction curve is constructed for the perforated plate considered. Each computational step is associated with a certain plastic zone which develops until the limit state configuration is reached. The plate is provided with equilateral triangular configuration of holes with arbitrary cutout coefficients. The interaction curves are plotted against the Huber–Mises yield condition for the plate without openings.