等方加工硬化をもつprandtl-Reuss塑性物質の構成式

概要

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The constitutive equations of a plastic material with isotropic work-hardening are proposed. The plastic potential is assumed to be a function of the stress and the scalar internal state variables. Here four restrictions are taken into consideration, that is, (1) linear elasticity, (2) pressure-insensitivity, (3) no generalized Bauschinger effect, and (4) grace two for stress. A rate-type mechanical constitutive equation is derived which relates the stress rate to the stretching and has a coefficient depending on the internal state variables. Evolutional equations, which govern the temporal variations of the internal state variables, are also derived. From a point of view of the theory of ordinary differential equation the number of the variables is reduced to one. From the constitutive equation the yield criterion and the flow rule are naturally specified, and a generalized Huber-bon Mises yield criterion with isotropic work-hardening and the Levy-St. Venant flow rule are obtained.
社団法人日本材料学会の論文
1976-10-15