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On the solution of the two-dimensional problem of a plane crack of arbitrary shape in an anisotropic material
Affiliation:1. Peter the Great Saint Petersburg Polytechnic University, Saint Petersburg 195251, Russia;2. Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Saint Petersburg 199178, Russia;3. Department of Mechanical Engineering, Tufts University, Medford, MA 02155, USA;4. R.E. Alexeev Nizhny Novgorod Technical University, Nizhny Novgorod 603155, Russia;1. CEMAT–IST, University of Lisbon, Av. Rovisco Pais 1, Lisbon 1049-001, Portugal;2. Department of Mathematics, ESTG, Polytechnic Institute of Leiria, Portugal
Abstract:In the present report we investigate the formulae of the stress field in the neighbourhood of a plane crack of arbitrary shape in an anisotropic material for the two-dimensional case. Moreover we consider the expression of the stress field in the neighbourhood of a plane crack in a transversely isotropic solid for the two-dimensional case. The construction of the solution for the anisotropic problem is presented as is the derivation of the expression for the surface tractions necessary to maintain the fundamental solution in a bounded region.
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