Abstract

In this review, we analyze the basic equations and assumptions for the design of critical state models used in the mechanics of non-cohesive media. The relationship of the modified cam clay model with related models of the plasticity theory with isotropic hardening described by closed plasticity surfaces is noted. The state equations of modified cam clay models in the elastic zone are analyzed; the studies, in which the elastic state is described by the hyperelasticity equations with exponential potential, are noted. Generalizations of modified cam clay models to the case of finite deformations are considered. It is important to note that additional research on kinematic combined loading in the spherical and deviatoric regions is needed.

中文翻译：

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非粘性介质力学中的临界状态模型（综述）

摘要

在这篇综述中，我们分析了用于非粘性介质力学中的临界状态模型设计的基本方程式和假设。指出了改进的凸轮粘土模型与塑性理论的相关模型之间的关系，并通过封闭的塑性表面描述了各向同性硬化。分析了弹性区中改性凸轮黏土模型的状态方程。注意到其中用具有指数势的超弹性方程描述弹性状态的研究。考虑了修改后的凸轮黏土模型对有限变形情况的推广。重要的是要注意，需要对球面和偏斜区域的运动学联合载荷进行更多的研究。