Abstract—

The article deals with the dynamic equations of the linear micropolar theory of elasticity. They are related with respect to vector fields of displacements and microrotations. Coupled equations are also obtained for vortex vector potentials of displacements and microrotations. Using (or not) calibration conditions, it is possible to formulate uncoupled equations that include the same main differential operator. Conditions for the hyperbolicity of the main operator and a condition connecting the defining constants that ensures its factorizability, that is, representation as a product of simpler differential operators commuting with each other. The actual construction of the operator factors in the factorized form is carried out.

中文翻译：

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微极性弹性理论中主要双曲型微分算子的因式分解

摘要-

本文讨论了线性微极弹性理论的动力学方程。它们与位移和微旋转的矢量场有关。还获得了位移和微旋转的涡旋矢量势的耦合方程。使用（或不使用）校准条件，可以公式化包含相同主微分算子的解耦方程。主算子的双曲性条件和连接定义常数的条件，可确保其分解性，即表示为更简单的微分算子相互交换的乘积。进行因子分解形式的运算符实际构建。