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Variational Formulation of Crack Problems in Three-dimensional Classical Elasticity

¹ Department of Civil and Environmental Engineering, University of Waterloo
² Department of Mathematical and Computer Sciences, The University of Tulsa
³ Department of Mechanical and Mechatronics Engineering, University of Waterloo

^* To whom correspondence should be addressed. E-mail: spotapenko{at}rogers.com.

	Abstract

In this paper we consider a crack of arbitrary shape in a homogeneous elastic media in the absence of body forces, formulate variational Dirichlet and Neumann crack problems in a linear three-dimensional elasticity in Sobolev spaces and prove the existence and uniqueness of the corresponding (weak) solutions.

First published on September 11, 2009
Mathematics and Mechanics of Solids 2009, doi:10.1177/1081286509344260


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