弹性复合材料柯西问题中的均匀化程序
Homogenization procedure in the Cauchy problem for the elastic composites
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中文总结 AI 辅助
本研究针对弹性方程柯西问题，提出基于算子变量分离的均匀化程序，为弹性方程均匀化提供新见解与新途径。
中文摘要 AI 辅助
在本研究中，我们考虑弹性方程柯西问题的均匀化问题。我们假设复合材料是沿选定轴周期性重复代表两种不同材料的单胞构成的。该均匀化程序基于算子变量分离，为弹性方程的均匀化提供了新见解，并为均匀化及构建均匀化方程提供了新途径。
英文摘要
In the present work we consider the problem of the homogenization of the Cauchy problem for the equations of the elasticity. We assume the composite material is constructed as a periodic repetition along the chosen axis of the unit cell which models to different materials. The homogenization procedure is based on the operator separation of variables, which gives the new incites for the homogenization of the elasticity equations and provides new way of the homogenization and constructing the homogenized equation.
