A Plane-Strain Formulation of Elastic-Plastic Constitutive Laws
Corradi, Leone; Gioda, Giancarlo; Corradi, Leone; Department of Structural Engineering, pol1tecnico di mllano; Gioda, Giancarlo; Department of Structural Engineering, pol1tecnico di mllano
Журнал:
Journal of Structural Mechanics
Дата:
1979
Аннотация:
ABSTRACTConstitutive laws for elastic-plastic materials are derived by eliminating the transverse stress component on the basis of the plane-strain constraint. This leads to a fictitious hardening and temperature dependence of the loading function. For standard elastic-plastic materials the resulting laws are associated; however, the plastic strain state is represented by equivalent plastic-strain measures, which also account for transverse yielding. The new constitutive laws, together with the standard reduced form of the equilibrium and compatibility equations, permit the formulation of the plane-strain elastic-plastic analysis problem in terms of the in-plane stress components only. In the case of perfectly plastic materials, the subsequent plane-strain yield surfaces are contained within a domain bounded by a limit surface which represents the yield condition normally adopted in plane-strain limit analysis.
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