Abstract—

An analysis properties of the constitutive relations of the theory of deformation for physically nonlinear materials with properties depending on the type of stress state is carried out. These relations take into account two forms of nonlinearity, one of them is associated with the nonlinearity of the deformation diagrams and another one is associated with the change in these diagrams depending on the loading conditions. The distributions of stresses and strains in a rotating disk made of a material with properties sensitive to the type of stress state are investigated and a comparison with the results of calculations for a material with properties invariant to the form of external forces is performed.

中文翻译：

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具有应力状态相关特性的物理非线性材料圆盘中的应力和应变

摘要-

对物理非线性材料的变形理论的本构关系进行了分析，其性质取决于应力状态的类型。这些关系考虑了两种形式的非线性，一种与变形图的非线性有关，另一种与这些图根据载荷条件的变化有关。研究了由对应力状态类型敏感的材料制成的旋转盘中的应力和应变的分布，并与对外力形式不变的材料的计算结果进行了比较。