The variational discrete element method developed in [28] for dynamic elasto-plastic computations is adapted to compute the deformation of elastic Cosserat materials. In addition to cellwise displacement degrees of freedom (dofs), cellwise rotational dofs are added. A reconstruction is devised to obtain P 1 non-conforming polynomials in each cell and thus constant strains and stresses in each cell. The method requires only the usual macroscopic parameters of a Cosserat material and no microscopic parameter. Numerical examples show the robustness of the method for both static and dynamic computations in two and three dimensions.
翻译：在[28]中为动态 Elasto塑料计算开发的变异离散元件方法经过调整,以计算弹性的Cosserat材料的变形。除了细胞迁移自由度(dofs)外,还添加了细胞旋转剂量。设计了一项重建,以便在每个单元格中获取P 1不兼容的多元体,从而在每个单元格中获得恒定的强度和压力。该方法只需要Cosserat材料的常规大型参数,而没有微分光参数。数字示例显示了在两个和三个维度上静态和动态计算方法的稳健性。
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