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Mathematics and Mechanics of Solids
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The Traction Problem in a Theory of Plane Strain Elasticity with Boundary Reinforcement

P. Schiavone

Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, T6G 2G8, Canada

C. Q. Ru

Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, T6G 2G8, Canada

In a previous work, the authors used integral equation methods to solve interior and exterior mixed boundary value problems arising from a theory of plane strain elasticity with boundary reinforcement. In this paper, the authors generalize the results in their previous paper to account for the case when only traction is prescribed on the nonreinforced part of the boundary of the elastic body. This case is of particular interest, since the corresponding homogeneous systems of singular integral equations give rise to nontrivial solutions that affect the solvability of both the interior and exterior boundary value problems.

Mathematics and Mechanics of Solids, Vol. 5, No. 1, 101-115 (2000)
DOI: 10.1177/108128650000500106
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