Existence and integral representations of weak solutions for elastic plates with cracks

The existence and continuous dependence on the data are investigated in Sob olev spaces for the problem of bending of a Reissner-Mindlin-type plate wea kened by a crack when the displacements or the moments and force are prescr ibed along the two sides of the crack. The cases of both an infinite and a finite plate are considered, and representations are sought for the solutio ns in terms of single layer and double layer potentials with distributional densities.