Abstract
An interfacial crack originates from a semi circular notch in a non-homogeneous semi infinite elastic material subjected to constant shear loads of magnitudes Tj, j = 1, 2. Asymptotic deformation fields near the crack tip are derived in a closed form. The stress intensity factor is shown to depend on material constants except when equal and opposite tractions are applied on load sites of equal length. Our results agree with known ones.
Highlights
The notched homogeneous elastic half plane under remote loading has been studied in Mitchel (1965), Rice (1967) and Ejike (1973)
In this paper we study the elastic half plane made from two materials
The free surface of each quarter plane is subjected to anti-plane shear loads of magnitude Tj, on interval [aj, bj], j = 1, 2
Summary
The notched homogeneous elastic half plane under remote loading has been studied in Mitchel (1965), Rice (1967) and Ejike (1973). The non-homogeneous case was studied in Nnadi, (2004a) under more practicable finite surface loading. In this paper we study the elastic half plane made from two materials. Each material is a quarter plane from which a quarter circle of radius c is removed. The resultant figures are perfectly bonded along their interface to form the half plane with a semicircular notch of radius c. The free surface of each quarter plane is subjected to anti-plane shear loads of magnitude Tj, on interval [aj, bj], j = 1, 2. The subscript j = 1 refers to the upper quarter plane while the subscript j = 2 refers to the other material.
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