### Monday, 11 October 2004 - 2:40 PM

### This presentation is part of : Surface Stress in Nature and Technology

### Integral representation of the solution of plane-strain elasticity with boundary reinforcement

**Peter Schiavone**, University of Alberta, University of Alberta, Department of Mechanical Engineering, 4-9 Mechanical Engineering Building, Edmonton, AB T6G 2G8, Canada
We discuss a linear theory of elastic boundary reinforcement for plane deformations of elastic solids. The reinforcement consists of a thin elastic coating bonded to part of the boundary of the elastic solid. The elastic properties of the coating incorporate both extensibility and bending rigidity. Interior and exterior mixed boundary value problems are formulated and solved using integral equation methods. The boundary-value problems are reduced to systems of singular integro-differential equations on the coating. Finally, analytical solutions of the boundary value problems are obtained in the form of integral potentials.

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