Elastodynamic Analysis of a Functionally Graded Half-Plane with Multiple Sub-Surface Cracks
The stress fields are obtained for a functionally graded half-plane containing a Volterra screw dislocation. The elastic shear modulus of the medium is considered to vary exponentially. The dislocation solution is utilized to formulate integral equations for the half-plane weakened by multiple smooth cracks under anti-plane deformation. The integral equations are of Cauchy singular type at the location of dislocation which are solved numerically. Several examples are solved and the stress intensity factors are obtained.
Key wordsfunctionally graded materials half-plane multiple cracks screw dislocation
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