Uniform field within a non-elliptical inhomogeneity in the vicinity of a nearby non-circular Eshelby inclusion

• Autorzy: Wang X. , Schiavone P.

Identyfikatory

DOI

10.24423/aom.3843

• Języki publikacji: EN

Abstrakty

EN

We rigorously prove that a non-elliptical inhomogeneity continues to permit an internal uniform stress field despite the presence of a nearby non-circular Eshelby inclusion undergoing uniform anti-plane eigenstrains when the surrounding matrix is subjected to uniform remote anti-plane stresses. Here, we adopt a specific representation of the non-circular Eshelby inclusion as a Booth’s lemniscate inclusion. Our analysis indicates that the internal uniform stress field inside the non-elliptical inhomogeneity is independent of the existence of the Booth’s lemniscate inclusion whereas the non-elliptical shape of the inhomogeneity is attributed entirely to its presence. Representative numerical examples are presented to demonstrate the feasibility of the proposed method of general solution.

Słowa kluczowe

EN

non-elliptical inhomogeneity; Booth’s lemniscate inclusion; uniform field; conformal mapping; anti-plane elasticity; inverse problem

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2021
• Tom: Vol. 73, nr 5-6
• Strony: 541--555
• Opis fizyczny: Bibliogr. 17 poz., rys., wykr.

Twórcy

autor

Wang X.

• School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China

autor

Schiavone P.

• Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta Canada T6G 1H9

Bibliografia

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