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Micromorphic modeling of granular dynamics

机译：颗粒动力学的微形态建模

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This paper provides micromorphic modeling of a granular material. Micromorphic modeling treats an individual particle as a microelement and the particle composition in a representative volume element as a macroelement. Bу specifying the volume of a macroelement, continuum volume-type quantities such as mass density, body force, body couple, kinetic energy density, internal energy density, specific heat supply, etc., are determined by taking the averages of their discrete counterparts in a macroelement. The discrete expressions for the divergence of surface-type quantities (fluxes) are obtained with the help of discrete-continuum analogy for the discrete balance equations. We demonstrate that the discrete for_mulation of stress tensor in the dynamic condition, which involves both contributions from body forces and relative particle accelerations in a macroelement, can be simply expressed in terms of contact forces and branch vectors. This study constructs complete discrete-type and continuum-type balance equations for a granular material in a macroelement and at a macroscopic point, using the discrete-continuum cor_respondence for these field quantities.
机译：本文提供了颗粒材料的微形态建模。微形态建模将单个粒子视为微元素，将代表体积元素中的粒子组成视为宏观元素。通过指定宏观元素的体积，连续体积类型的量（例如质量密度，体力，体对，动能密度，内部能量密度，比热供给等）可以通过取其离散对应物的平均值来确定。宏观元素。借助离散平衡方程的离散连续谱类比，获得了表面类型量（磁通量）发散的离散表达式。我们证明了在动态条件下应力张量的离散形式，其中既包含体力的贡献，又包含宏观元素中相对粒子加速度的贡献，可以简单地用接触力和分支矢量表示。这项研究使用这些场量的离散连续统对应关系，为宏观元素和宏观点上的颗粒材料构造了完整的离散类型和连续体类型平衡方程。

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