Abstract
We formulate three-dimensional interface crack problems in terms of Signorini conditions. With the help of potential theory we reduce these to variational inequalities which are employed on the two-dimensional boundary of a domain occupied by two homogeneous elastic anisotropic bodies. For the boundary variational inequalities, we prove uniqueness and existence. For a corresponding boundary element Galerkin approximation we also show convergence and asymptotic error estimates.
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Natroshvili, D., Wendland, W.L. (2004). Boundary Variational Inequalities in the Theory of Interface Cracks. In: Gohberg, I., Wendland, W., Ferreira dos Santos, A., Speck, FO., Teixeira, F.S. (eds) Operator Theoretical Methods and Applications to Mathematical Physics. Operator Theory: Advances and Applications, vol 147. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7926-2_36
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DOI: https://doi.org/10.1007/978-3-0348-7926-2_36
Publisher Name: Birkhäuser, Basel
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