A THIN CRACKED LAYER BONDED TO AN ELASTIC HALF-SPACE UNDER AN ANTIPLANE CONCENTRATED LOAD

The antiplane elasticity problem for a thin cracked layer bonded to an elastic half-space under an antiplane concentrated load is considered . The fundamental solution is obtained as a rapidly convergent series in terms of the complex potentials via iterations of Mobius transforma tion. The singular integral equation with a logarithmic singular kerne l is derived to model a crack problem that can be solved numerically i n a straightforward manner. The dimensionless mode-III stress intensit y factors obtained for various crack inclinations and crack lengths ar e discussed in detail and provided in graphic form. A strip problem wi th an arbitrarily oriented crack is also considered.