Abstract
A finite-part singular integral representation analysis in P is proposed for the solution of two-dimensional elasticity problems. The method consists of the reduction of the finite-part singular integral equations to the equivalent Fredholm equations. Nöther theorems are generalized by using finite-part singular integral equations, by investigating the necessary and sufficient conditions for the solution of these equations in L p and by defining the index of such types of equations. A two-dimensional fracture mechanics application is given for the determination of the stress intensity factors in the neighbourhood of a straight crack in a bimaterial infinite and Isotropic solid under antiplane shear.
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