Mathematical modeling of the propagation of precursors of the front edges of cracks as spatial curves on the fronts of waves of a strong discontinuity of rates and stresses

The modeling of the phenomenon of reflection of the front edge of a longitudinal shear crack from a stressed boundary is considered. The front edge of crack is modeled by an extreme along the edge rupture of rates and stresses exceeding the plastic limit propagating as an orthogonal trajectory of a longitudinal wave of plastic loading. The dependence of the intensity of the reflected cracks of a simple shear and detachment (as a function of the angle of incidence of the initiating crack) on the stress at the boundary at the moment of reflection and on the physical constants of the material is investigated. The conditions for the absence of reflected cracks of shear and detachment and criteria for boundary stresses initiating the cracks of various types are obtained.

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A model of dynamic reflection of a longitudinal shear crack from a stressed boundary

Bykova

Verveiko

Shashkin

et al. 2020

J. Phys.: Conf. Ser.

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Mathematical modeling of the propagation of precursors of the front edges of cracks as spatial curves on the fronts of waves of a strong discontinuity of rates and stresses

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A model of dynamic reflection of a longitudinal shear crack from a stressed boundary

A model of dynamic reflection of a longitudinal shear crack from a stressed boundary

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