Closed form solution and numerical analysis for Eshelby’s elliptic inclusion in plane elasticity |
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引用本文: | 陈宜周.Closed form solution and numerical analysis for Eshelby’s elliptic inclusion in plane elasticity[J].应用数学和力学(英文版),2014,35(7):863-874. |
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作者姓名: | 陈宜周 |
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摘 要: | This paper presents a closed form solution and numerical analysis for Es- helby's elliptic inclusion in an infinite plate. The complex variable method and the confor- real mapping technique are used. The continuity conditions for the traction and displace- ment along the interface in the physical plane are reduced to the similar conditions along the unit circle of the mapping plane. The properties of the complex potentials defined in the finite elliptic region are analyzed. From the continuity conditions, one can separate and obtain the relevant complex potentials defined in the inclusion and the matrix. From the obtained complex potentials, the dependence of the real strains and stresses in the inclusion from the assumed eigenstrains is evaluated. In addition, the stress distribution on the interface along the matrix side is evaluated. The results are obtained in the paper for the first time.
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关 键 词: | Eshelby's elliptic inclusion complex variable method closed form solution |
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