亜弾性理論に基づく弾粘塑性物質の構成式

概要

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Rate type constitutive equation of elastic/viscoplastic materials are proposed. The constitutive equations have been obtained by introducing an excess stress term into Tokuoka's constitutive equations of elastic/phastic materials based on hypoelasticity. His equations have teo kinds of internal variabled (hardening parameters), and they have been proved to describe characteristic properties of elastic/plastic materials, e. g., yielding unloading, reloading, flow rules, isotropic hardening, Bauschinger effect etc. The proposed constitutive equations reduce to Tokuoka's ones for sufficiently slow deformations, and they can also exhibit several strain rate effects. This is, they can describe rate sensitivity of the yield surface, the stress response for sudden change of the strain rate, creep, relaxaion etc. An explicit form of the consititutive equations of von Mises type elastic/viscoplastic meterials has been derived from general constitutive equations, by use of the representaion theorem for tensors, symmetry of tension and compression, the principle of material frame indifference etc. As an example, the avobe stain rate effects in uniaxial tension are analyzed, and significant agreement with the experimental results is shown.
社団法人日本材料学会の論文
1985-12-15