Mathematical models of micropolar plates and shells are considered within the framework of the approximation approach. The governing equations of the theories are written in a thermodynamically consistent form of the conservation laws. This ensures hyperbolicity and correctness of the initial boundary value problems. For numerical solution, we propose parallel algorithms for supercomputers with graphics processing units. The algorithms are based on the splitting method with respect to spatial variables. We present the results of numerical computations of wave propagation in micropolar rectangular plates and cylindrical panels for media with different types of microstructure particles.

中文翻译：

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考虑惯性特性的微极板和壳中弹性波的数值模拟

在近似方法的框架内考虑了微极板和壳的数学模型。理论的控制方程以热力学上一致的守恒定律形式编写。这确保了初始边界值问题的双曲性和正确性。对于数值解，我们为具有图形处理单元的超级计算机提出了并行算法。该算法基于关于空间变量的分裂方法。我们介绍了微极性矩形板和圆柱板中具有不同类型的微结构颗粒的介质中波传播的数值计算结果。