Abstract
The existence and continuous dependence on the data are investigated in Sobolev spaces for the problem of bending of a Reissner-Mindlin-type plate weakened by a crack when the displacements or the moments and force are prescribed 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 solutions in terms of single layer and double layer potentials with distributional densities.
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Chudinovich, I., Constanda, C. Existence and Integral Representations of Weak Solutions for Elastic Plates with Cracks. Journal of Elasticity 55, 169–191 (1999). https://doi.org/10.1023/A:1007624707944
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DOI: https://doi.org/10.1023/A:1007624707944