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arXiv 1906.04797math.APcond-mat.soft
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具有表面张力的球形和圆形材料表面问题的位移表示

Displacements representations for the problems with spherical and circular material surfaces with surface tension

Sofia G. Mogilevskaya, Volodymyr I. Kushch, Anna Y. Zemlyanova

摘要:

修正了Christensen和Lo(1979)所用的位移表示法,使之能分析处理具有恒定表面张力的球形和圆形材料表面的问题。修正后的表示被用来获得封闭形式的表达式的局部弹性场和有效模量的宏观各向同性复合材料包含球形和圆形的不均匀性与完整的Gurtin-Murdoch和Steigmann-Ogden模型所描述的接口。

英文摘要:

The displacements representations of the type used by Christensen and Lo (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 a 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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