Model of a Mode II Shear Crack
V. V. Glagolev, M. V. Devyatova, A. A. Markin
Tula State University, Tula, 300600 Russia
Keywords: характерный размер, граничное интегральное уравнение, линейная упругость, идеально упругопластическая модель, characteristic size, boundary integral equation, linear elasticity, ideally elastoplastic model
Abstract
Based on the model of a physical cut and a material layer on its continuation, elastic and elastoplastic problems of determining the stress−strain state inside and outside the layer in the case of loading of cut edges by an antisymmetric system of forces are posed and solved. The solution of the elastic problem is compared with the solution obtained within the framework of the Neuber−Novozhilov model. In contrast to the latter model, the proposed approach provides results consistent with experimental data on the process of formation of fracture regions. Based on the analysis of the discrete solution of the problem, regions of plastic deformation and regions of possible fracture are found.
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