Premium
Plastic straining, unstressing and branching in large displacement perturbation analysis
Author(s) -
de Freitas J. A. Teixeira,
Smith David Lloyd
Publication year - 1984
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.1620201110
Subject(s) - mathematics , nonlinear system , simplex algorithm , branching (polymer chemistry) , perturbation (astronomy) , simplex , complementarity (molecular biology) , linear programming , algorithm , geometry , materials science , physics , quantum mechanics , composite material , biology , genetics
The nonlinear system of equations and inequalities relating to the large displacement behaviour of elasto‐plastic structures can be transformed by the method of perturbations into an infinite sequence of recursive linear complementarity problems (LCP). Each such LCP can be solved by a simple variant of the simplex algorithm of linear programming. Special consideration is given to describing those steps of the algorithm that are needed for detecting and controlling the phenomena of plastic straining, unstressing and branching.