Two rigid non-circular inhomogeneities in an elastic matrix

• Autorzy: Wang X. , Schiavone P.

Identyfikatory

DOI

10.24423/aom.4663

• Języki publikacji: EN

Abstrakty

EN

We derive analytical solutions to the plane elasticity problem of two interacting identical rigid non-circular inhomogeneities embedded in an infinite isotropic elastic matrix subjected to uniform remote in-plane normal and shear stresses. Explicit expressions for the pair of analytic functions due to remote normal and shear stresses are obtained with the aid of analytic continuation and a conformal mapping function for the doubly connected quadrature domain occupied by the matrix. The rigid body rotation of each rigid inhomogeneity induced by a uniform remote shear stress is determined once three corresponding regular integrals are evaluated. The remote asymptotic behaviors of the pair of analytic functions are determined once five associated regular integrals are evaluated.

Słowa kluczowe

EN

two rigid non-circular rigid inhomogeneities; quadrature domain; conformal mapping; analytic continuation; rigid body rotation; analytical solution

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2025
• Tom: Vol. 77, nr 3
• Strony: 289--304
• Opis fizyczny: Bibliogr. 15 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, T6G 1H9 Canada

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