In this article, we introduce a complete set of constitutive relations and field equations for the linear reduced micromorphic model. We further investigate the internal variables and their relationship in the case of two-dimensional (2D) wave propagation. The dynamic response is investigated for composite materials, which is due to an external wave in two dimensions applied at the boundary of the considered domain. Analytical solutions for the model are unavailable at this stage due to dependency of the field equations on spatial and time variables in a complicated manner. A finite element approach is adopted to derive approximate solutions for the field equations, and numerical finite element solutions for the internal fields are presented in detail and discussed.

在本文中，我们介绍了线性简化微晶模型的一套完整的本构关系和场方程。我们进一步研究了二维 (2D) 波传播情况下的内部变量及其关系。研究了复合材料的动态响应，这是由于在所考虑域的边界处施加的二维外部波。由于场方程以复杂的方式依赖于空间和时间变量，因此该模型的解析解在现阶段不可用。采用有限元方法推导出场方程的近似解，并详细介绍和讨论了内部场的数值有限元解。