An anisotropic elastic inhomogeneous elliptical inclusion

Xu Wang; Peter Schiavone

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An anisotropic elastic inhomogeneous elliptical inclusion

机译：An anisotropic elastic inhomogeneous elliptical inclusion

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摘要

Using the Stroh sextic formalism, we study the problem of an anisotropic elastic inhomogeneous elliptical inclusion undergoing uniform eigenstrains embedded in an infinite anisotropic elastic matrix. The inhomogeneous inclusion and the matrix have separate elastic properties. A real-form solution of the internal uniform elastic field characterizing stresses, total strains and rigid-body rotation within the inhomogeneous elliptical inclusion is obtained in terms of the fundamental elasticity matrix for the elliptical inclusion and the Barnett--Lothe tensors for the matrix. Also obtained in real-form are the constant fourth-rank Eshelby's tensor inside the elliptical inclusion, the hoop stress vectors and hoop stresses along the elliptical interface on both the matrix and inclusion sides, as well as the strain energy per unit height of the composite.

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来源
《Journal of mechanics of materials and structures》 |2022年第2期|181-192|共12页
作者
Xu Wang; Peter Schiavone;
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作者单位

School of Mechanical and Power Engineering, East China University of Science and Technology;

Department of Mechanical Engineering, University of Alberta;

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原文格式 PDF
正文语种英语
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关键词
inhomogeneous elliptical inclusion; eigenstrain; uniform field; Eshelby’s tensor; hoop stress; strain energy; anisotropic elasticity; Stroh formalism;

An anisotropic elastic inhomogeneous elliptical inclusion

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