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首页> 外文期刊>International Journal of Solids and Structures >Benchmark analytic solution of the dynamic response of a spherical shell composed of a transverse isotropic elastic material
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Benchmark analytic solution of the dynamic response of a spherical shell composed of a transverse isotropic elastic material

机译:横向各向同性弹性材料组成的球壳动力响应的基准解析解

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摘要

Developing benchmark analytic solutions for problems in solid and fluid mechanics is very important for the purpose of testing and verifying computational physics codes. In order to test the numerical results of physics codes, we consider the geometrically linear dynamic sphere problem. We present an exact solution for the dynamic response of a spherical shell composed of a linearly elastic material exhibiting transverse isotropic symmetry. The solution takes the form of an infinite series of eigenfunctions. We demonstrate, both qualitatively and quantitatively, the convergence of the computed benchmark solution under spatial, temporal, and eigenmode refinement.
机译:为测试和验证计算物理代码的目的,开发用于解决固体和流体力学问题的基准分析解决方案非常重要。为了测试物理代码的数值结果,我们考虑了几何线性动态球体问题。我们提出了由线性弹性材料表现出横向各向同性对称性的球形壳的动态响应的精确解决方案。该解决方案采用无限个本征函数的形式。我们定性和定量地证明了在空间,时间和本征模态细化下计算基准解决方案的收敛性。

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