Elastic-plastic constitutive laws allowing for nonassociation, corners and hardening (or softening) are formulated both in the usual terms of rates and in terms of piecewise-linear approximation (local or global). The direct boundary element method combined with such descriptions of nonlinear material behaviour, is shown to reduce elasto-plastic structural analysis, both by infinitesimal and finite steps, to a linear complementary problem. On this basis, a general extremum characterization of the solution and conditions for solution uniqueness are pointed out. Various solution procedures are envisaged in the new unitary framework.
Elastic-plastic boundary element analysis as a linear complementarity problem
MAIER, GIULIO;NOVATI, GIORGIO
1983-01-01
Abstract
Elastic-plastic constitutive laws allowing for nonassociation, corners and hardening (or softening) are formulated both in the usual terms of rates and in terms of piecewise-linear approximation (local or global). The direct boundary element method combined with such descriptions of nonlinear material behaviour, is shown to reduce elasto-plastic structural analysis, both by infinitesimal and finite steps, to a linear complementary problem. On this basis, a general extremum characterization of the solution and conditions for solution uniqueness are pointed out. Various solution procedures are envisaged in the new unitary framework.File in questo prodotto:
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