Complex variable method for equivalence of the elliptical inhomogeneity to Eshelby’s elliptical inclusion under remote loading

Chen, Y. Z.

doi:10.1007/s00033-019-1216-x

Cited by 5 publications

(1 citation statement)

References 12 publications

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“…By using the complex variable method, a closed form solution was derived and numerical analysis carried out for Eshelby’s elliptical inclusion in plane elasticity [12]. Two boundary value problems for inclusion problems were formulated [13]. Among them, one is for elliptical inhomogeneity embedded in an infinite matrix and the other is for Eshelby elliptical eigenstrain inclusion in an infinite matrix.…”

Section: Introductionmentioning

confidence: 99%

Solution for elliptic inclusion in an infinite plate with remote loading and Eshelby’s eigenstrain of polynomial type

Chen

2021

Mathematics and Mechanics of Solids

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In this paper, a particular inhomogeneous inclusion problem is studied. In the problem, Eshelby’s eigenstrain takes the type [Formula: see text], where m+ n = 2, and the remote loadings [Formula: see text], [Formula: see text] are applied. In the solution, the complex variable method is used. The continuity conditions along the interface of the matrix and the inclusion are formulated exactly. Because the stress field is no longer uniform in inclusion in this case, the studied problem has an inherent difficulty. After some manipulation, the final result for stress components [Formula: see text], [Formula: see text] and [Formula: see text] in inclusion are obtainable. In the present study, [Formula: see text], [Formula: see text] and [Formula: see text] are no longer uniform.

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Section: Introductionmentioning

confidence: 99%

Solution for elliptic inclusion in an infinite plate with remote loading and Eshelby’s eigenstrain of polynomial type

Chen

2021

Mathematics and Mechanics of Solids

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A numerical technique for the solution of eigenstrain problem for square notch with small round corners in plane elasticity

Chen

2022

Arch Appl Mech

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On debonding at interface in the Eshelby’s elliptical inclusion under remote loading

Chen

2021

Engineering Fracture Mechanics

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Complex variable method for equivalence of the elliptical inhomogeneity to Eshelby’s elliptical inclusion under remote loading

Cited by 5 publications

References 12 publications

Solution for elliptic inclusion in an infinite plate with remote loading and Eshelby’s eigenstrain of polynomial type

Solution for elliptic inclusion in an infinite plate with remote loading and Eshelby’s eigenstrain of polynomial type

A numerical technique for the solution of eigenstrain problem for square notch with small round corners in plane elasticity

On debonding at interface in the Eshelby’s elliptical inclusion under remote loading

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