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Solvability of Weak Solutions to Anti-Plane Cosserat Elasticity by Means of Boundary Integral Equations

¹ Department of Civil and Environmental Engineering, University of Waterloo, Ontario, Canada
² Department of Civil and Environmental Engineering, Tufts University, Medford, MA, USA

^* To whom correspondence should be addressed.

	Abstract

In this paper, we solve interior and exterior Dirichlet and Neumann problems of anti-plane micropolar elasticity in Sobolev space setting using boundary integral equation method. Corresponding weak solutions are derived in terms of modified single and double layer potentials with distributional densities.

Key Words: Micropolar elasticity, weak solutions, boundary integral equations

First published on September 17, 2008
Mathematics and Mechanics of Solids 2008, doi:10.1177/1081286508095810


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