基于三剪屈服准则的材料弹塑性统一本构方程

The material unified elasto-plastic constitutive model based on triple-shear yield criterion

为了改进双剪统一强度理论公式的分段表达,克服双剪统一弹塑性本构模型在θ=bθ点上的双重滑移角现象,考虑十二面体单元上所有三个主剪应力共同作用的三剪屈服准则建立了材料的弹塑性统一本构方程,该弹塑性统一本构方程适合于服从Tresca屈服准则到Von M ises屈服准则的全部材料。

To improve the interceptive formula of unified twin - shear theory, and eliminate the daul slip angle phenomenon at the angle θb in twin shear unified elasto - plastic constitutive model. Based on the tripie -shear yield criterion, it is proposed in the paper that the unified elasto -plastic constitutive model, taking account of the combined actions of all three principal shear stresses acting on the dodecahedron element. This unified elasto - plastic constitutive model is suited for the materials of abiding by the yield criterion from Tresca yield criterion to Von Mises yield criterion.