Cylindrical Dislocation in a Nonlinear Elastic Incompressible Material
A. V. Mark
Academy of State Fire Service of the EMERCOM of Russia, Moscow, 129366 Russia
Keywords: cylindrical dislocation, geometric theory of defects, metric, Einstein equations
Abstract
Using the nonlinear equations of elasticity theory and the geometric theory of defects, a cylindrical dislocation in an incompressible Mooney - Rivlin body is investigated. A cylindrical dislocation consists of two hollow concentric cylinders, one of which is inserted into the other and glued after a corresponding symmetrical deformation. The approaches of the classical theory of elasticity and the geometric theory of defects are compared, which made it possible to give a physical interpretation of the tensor momentum energy density in the Einstein equations for a cylindrical dislocation.
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