Elastoplastic straining and fracture of anisotropic metals and alloys in compression and tensile waves are modeled, accounting for kinetics of the fracture process. The model enables to account for the main properties of the fracture process and volumetric changes of discontinuity flaws with a due account for the stress relaxation and changes of properties of the material arising as a result of the increase in discontinuity flaws. The generation of the main crack is modeled as a result of void coalescence, which is possible when they reach high concentration levels. A three-dimensional formulation of fracture of an obstacle made of an anisotropic material under impact loading with deformable strikers is numerically studied, using fracture criteria which describe shear and spallation fracture of anisotropic materials. The calculations have been done using original programs employing the finite-element method.
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