The Cosserat continuum is used in this paper to regularize the ill-posed governing equations of the Cauchy/Maxwell continuum. Most available constitutive models adopt yield and plastic potential surfaces with a circular deviatoric section. This is a too crude an approximation which hinders the application of the Cosserat continuum into practice, particularly in the geotechnical domain. An elasto-plastic constitutive model for the linear formulation of the Cosserat continuum is here presented, which features non-associated flow and hardening/softening behaviour, whilst linear hyper-elasticity is adopted to reproduce the recoverable response. For the formulation of the yield and plastic potential functions, a definition of the \textit{equivalent von Mises stress} is used which is based on Hencky's interpretation of the von Mises criterion and also on the theory of representations. The dependency on the Lode's angle of both the yield and plastic potential functions is introduced through the adoption of a recently proposed \textit{Generalized classical} criterion, which rigorously defines most of the classical yield and failure criteria.

翻译：本文采用Cauchy/Maxwell连续体的Coserat连续体常规化管理方程式; 多数现有组成模型采用带有循环偏离部分的产值和塑料潜在表面; 这太粗糙,妨碍了Coserat连续体的运用,特别是在土工领域; 此处提出了Coserat连续体线性配方的弹性塑性构件模型,其特点是非关联流动和硬化/易化行为,同时采用线性超弹性来复制可回收反应; 制作产值和塑料潜在功能时,使用了基于Henckky对von Mises标准的解释和陈述理论的\ textit{qual von Mises应力} 定义。 采用最近提议的\ textitilit{cenized cragy}标准对Lode的产值和塑料潜在功能角度的依赖,该标准严格界定了古典产值和故障标准的多数。