Discontinuous solutions of the nonlinear theory of Volterra dislocations

Abstract eng:
The paper studies different aspects of the cavity formation along the axis of screw dislocation and wedge disclination within the framework of nonlinear elasticity of incompressible media. For some classes of elastic energy functions the necessary conditions for the existence of discontinuous solutions were determined. Several boundary value problems on the formation of a cavity in a nonlinear elastic body with isolated defects were resolved taking into account the microstructure of the material. For this purposes the theory of Cosserat continuum has been used. It was shown that account of microstructure typically reduces the radius of the cavity until its complete elimination.

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