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Piecewise linear elastic–plastic analysis
Author(s) -
Kaneko Ikuyo
Publication year - 1979
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.1620140509
Subject(s) - piecewise linear function , complementarity (molecular biology) , piecewise , mixed complementarity problem , mathematical optimization , linear programming , class (philosophy) , mathematics , linear complementarity problem , nonlinear system , nonlinear programming , algorithm , linear elasticity , computer science , structural engineering , engineering , finite element method , mathematical analysis , artificial intelligence , genetics , physics , quantum mechanics , biology
The purpose of this paper is to show that a mathematical programming method, due to Maier and his co‐workers, of nonlinear structural analysis can be rerformulated so that greater computational efficiences are achived. The methods are designed for a class of elastic–plastic structures under ‘piecewise linear’ assumptions and solve among others the problem of determining the stresses and strains in the structure. The reformulation gives rise to a class of mathematical programming problems calles a ‘ n by dn linear complementarity problem’, for which the author has developed an efficient algorithm. It will be explained why and by how much the proposed method (the reformulation and its solution by the author's algorithm) solves the structural problems more efficiently than the existing one. Results of a systematic computer experiment supporting the efficiency of the proposed method are also presented.