Based on experimental studies of specimens of 12Kh18N10T stainless steel under a rigid (strain-controlled) deformation process, which includes a sequence of monotonic and cyclic loading modes, some features and differences between isotropic and anisotropic hardening under monotonic and cyclic loading are found. To describe these features in terms of the theory of plasticity (the Bondar model), the criterion of change of plastic deformation direction and a memory surface are introduced in the space of the plastic strain tensor, which allow one to separate the processes of monotonic and cyclic loading. To describe the transitional processes, evolutionary equations for isotropic and anisotropic hardening parameters are formulated. The change in the stress-strain state during monotonic and cyclic loading, obtained by calculation and experiment, is compared.

中文翻译：

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单调和循环加载过程的数学建模

基于对12Kh18N10T不锈钢试样进行刚性（应变控制）变形过程的实验研究，该过程包括一系列单调和循环加载模式，发现了单调和循环加载下各向同性和各向异性硬化的一些特征和差异。为了用可塑性理论（邦德尔模型）描述这些特征，在塑性应变张量的空间中引入了塑性变形方向和记忆表面的变化准则，从而使人们能够将单调和离散过程分开。循环加载。为了描述过渡过程，制定了各向同性和各向异性硬化参数的演化方程。通过计算和实验得出，在单调和循环载荷下应力应变状态的变化，