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首页> 外文期刊>Journal of thermal stresses >HETEROGENEOUS PROBLEMS IN PLANE THERMOELASTICITY
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HETEROGENEOUS PROBLEMS IN PLANE THERMOELASTICITY

机译：平面热弹性的异质性问题

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摘要

Within the framework of the linear theory of thermoelasticity, the heterogeneous problem associated with multiple inclusions, circularly cylindrical layered media and plane layered media is considered and solved in this paper. The number of inclusions and layers is arbitrary and the system is subjected to arbitrary loading (singularities). The solutions to heat conduction (or antiplane deformation) and thermoelasticity problems are derived by the heterogenization technique that allows us to write down the solution explicitly in terms of the solution of a corresponding homogeneous problem subjected to the same loading. A rapid convergent series solution for both the temperature (or antiplane displacement) and stress functions, which is expressed in terms of an explicit general term of the complex potential of the corresponding homogeneous problem, is obtained in an elegant form. Numerical results are provided for some particular examples to investigate the effect of material combinations and geometrical configurations on the interfacial stresses.
机译：在线性热弹性理论的框架内，本文考虑并解决了与多个包裹体，圆柱状层状介质和平面层状介质相关的非均质问题。夹杂物和层的数量是任意的，并且系统要承受任意的载荷（奇异性）。导热（或反平面变形）和热弹性问题的解决方案是通过异质化技术得出的，该技术使我们可以根据承受相同载荷的相应均质问题的解决方案明确写下解决方案。以优美的形式获得了针对温度（或反平面位移）和应力函数的快速收敛级数解，该解以相应均质问题的复数势的显式通用项表示。提供了一些特定示例的数值结果，以研究材料组合和几何构型对界面应力的影响。

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