Finitepart singular integral representation analysis in Lp of twodimensional elasticity problems
Abstract
A finitepart singular integral representation analysis in Lp is proposed for the solution of twodimensional elasticity problems. The method consists of the reduction of the finitepart singular integral equations to the equivalent Fredholm equations. Nother theorems are generalized by using finitepart singular integral equations, by investigating the necessary and sufficient conditions for the solution of these equations in Lp, and by defining the index of such types of equations. A twodimensional fracture mechanics application is given for the determination of the stress intensity factors in the neighborhood of a straight crack in a bimaterial infinite and isotropic solid under antiplane shear.
 Publication:

Engineering Fracture Mechanics
 Pub Date:
 October 1992
 Bibcode:
 1992EnFM...43..455L
 Keywords:

 Elastic Properties;
 Fracture Mechanics;
 Fredholm Equations;
 Integral Equations;
 Neumann Problem;
 Stress Intensity Factors;
 Aluminum Compounds;
 Crack Propagation;
 Epoxy Compounds;
 Isotropic Media;
 Singularity (Mathematics);
 Structural Mechanics