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首页> 外文期刊>The Journal of Strain Analysis for Engineering Design >Stress concentration around a spherical cavity in transversely isotropic materials subjected to pure shear
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Stress concentration around a spherical cavity in transversely isotropic materials subjected to pure shear

机译：横向各向同性材料在纯剪切作用下球形腔周围的应力集中

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摘要

Problems of stress concentration around a spherical cavity in transversely isotropic materials under pure shear are solved by the equivalent inclusion method. A method previously devised for finding the solution requires introducing harmonic functions in three different spheroidal coordinates and this complicates the analysis. Compared with that approach, the present method is simpler and more transparent; any possible error can be easily detected as the solution procedure requires only elementary algebraic manipulations. Stress concentrations around the cavity are obtained in explicit mathematical expressions and maximum hoop stress can be conveniently calculated. Numerical results of several transversely isotropic materials (zinc, magnesium, -quartz, and poled barium titanate) are tabulated and graphically displayed to highlight the nature of the solution.
机译：通过等效夹杂法解决了横观各向同性材料在纯剪切作用下球形腔周围应力集中的问题。先前设计用于寻找解决方案的方法需要在三个不同的球面坐标中引入谐波函数，这使分析变得复杂。与该方法相比，本方法更简单，更透明。由于求解过程只需要基本的代数运算，因此很容易检测到任何可能的错误。用明确的数学表达式获得空腔周围的应力集中，并且可以方便地计算最大环向应力。将几种横向各向同性材料（锌，镁，-石英和极化钛酸钡）的数值结果制成表格并以图形方式显示，以突出说明溶液的性质。

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