球面和圆形材料表面问题的位移表示

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S. Mogilevskaya, V. Kushch, A. Zemlyanova
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引用次数: 21

摘要

Christensen和Lo (J. Mech)使用的类型的置换表示。理论物理。Solids27, 1979)被修改为允许分析处理涉及具有恒定表面张力的球形和圆形材料表面的问题。利用修正后的表达式,导出了含球面和圆形非均匀性的宏观各向同性复合材料的局部弹性场和有效模量的封闭表达式,其界面由完整的Gurtin-Murdoch模型和Steigmann-Ogden模型描述。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Displacements representations for the problems with spherical and circular material surfaces
The displacements representations of the type used by Christensen and Lo (J. Mech. Phys. Solids27, 1979) are modified to allow for analytical treatment of problems involving spherical and circular material surfaces that possess constant surface tension. The modified representations are used to derive closed-form expressions for the local elastic fields and effective moduli of macroscopically isotropic composite materials containing spherical and circular inhomogeneities with the interfaces described by the complete Gurtin–Murdoch and Steigmann–Ogden models.
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