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Analysis of effective elastic properties for shell with complex geometrical shapes

机译：复杂几何形状壳体的有效弹性特性分析

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摘要

The manuscript offers a methodology to solve the local problem derived from the homogenization technique, considering composite materials with generalized periodicity and imperfect spring contact at the interface. The general expressions of the local problem for an anisotropic composite with perfect and imperfect contact at the interface are derived. The analytical solutions of the local problems are obtained by solving a system of partial differential equations. In order to validate the model, the effective properties of the structure presented in the literature are obtained as particular cases. The solution of the local problem is used to extend the study to more complex structures, such as, wavy laminates shell composites with imperfect spring type contact at the interface. Also, the results are compared with the results for perfect and imperfect contact models available in the literature.
机译：该手稿提供了一种方法来解决均质化技术带来的局部问题，考虑了具有广义周期性且界面处弹簧接触不完善的复合材料。推导了在界面处具有完美和不完美接触的各向异性复合材料局部问题的一般表达式。局部问题的解析解是通过求解偏微分方程组获得的。为了验证模型，在特殊情况下获得了文献中提出的结构的有效特性。局部问题的解决方案用于将研究扩展到更复杂的结构，例如在界面处具有不完全弹簧型接触的波浪层压板壳复合材料。此外，将结果与文献中提供的完美和不完美接触模型的结果进行比较。

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