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A general unified treatment of lamellar inhomogeneities
Authors:Hossein M. Shodja  Farzaneh Ojaghnezhad
Affiliation:a Department of Civil Engineering, Center of Excellence in Structures and Earthquake Engineering, Sharif University of Technology, P.O. Box 11365-9313, Tehran, Iran
b Institute for Nanoscience and Nanotechnology, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran
Abstract:
Consider a lamellar inhomogeneity embedded in an unbounded isotropic elastic medium. When the elastic moduli of the lamellar inhomogeneity are zero it is a crack, if its elastic moduli are infinite it is an anticrack, and when its elastic moduli are finite it is called a quasicrack. Based on the Eshelby’s equivalent inclusion method (EIM), the present paper develops a unified approach for determination of the exact closed-form expressions for modes I, II, and III stress intensity factors (SIFs) at the tips of lamellar inhomogeneities under a remote applied polynomial loading.
Keywords:Lamellar inhomogeneity   Anticrack   Quasicrack   Equivalent inclusion method   Polynomial loadings
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