Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


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Metadata (abstracts and keywords) for the articles in the journal

M.I.Bykova, N.D.Verveiko, S.E.Krupenko, A.I.Shashkin, S.A.Shashkina Mathematical modeling of transfer intensive of edges of spatial cracks on the fronts of longitudinal and shear waves by a ray method // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2020. № 4(46). p. 164-181
Author(s):M.I.Bykova, N.D.Verveiko, S.E.Krupenko, A.I.Shashkin, S.A.Shashkina
Index of UDK:539.3+539.374
DOI:10.37972/chgpu.2020.46.4.014
Title:Mathematical modeling of transfer intensive of edges of spatial cracks on the fronts of longitudinal and shear waves by a ray method
Keywords:

ray method, leading edge, spatial crack, crack edge intensity, intensity transfer.

Abstracts:

In the near neighborhood of the top of the plane crack, and in General, in the space case, near the edge of the spatial crack, the deformations of the material have the inelastic character. In this article proposes the elasticviscoplastic model of the Bingham body with the condition of plasticity of Mises for modeling high velocity deformation material near of the top of crack. Shown that an edge of crack belong a surface of elastic wave: cracks of longitudinal shear belong of longitudinal wave and a crack of untiplane shear and avulsion belong a surface of shear wave. For intensity of the crack suggest a shock velocity on the curve of the edge of crack and made ordinary differential equation for transfer intensity of crack on the front of the wave. Shown that a distant of propagation edge of the crack depend from plastic deformation material on the front of the wave. In the process of propagation crack this direction of shear can change from a stresses in front of the wave. Three-D graphics show change intensity of the crack in a process of propagation from parameters.

The contact details of authors:

Bykova Marya Igorevna e-mail: bykova_mi@amm.vsu.ru, Assistant Professor, Ph. D. Phys. & Math., Voronezh State University, Voronezh, Russia. Verveiko Nikolay Dmitrievitch e-mail: dean@amm.vsu.ru, Professor, D. Sc. Tech., Voronezh State University, Voronezh, Russia.

Krupenko Svetlana Evgenjevna e-mail: dean@amm.vsu.ru, Graduate Student, Voronezh State University, Voronezh, Russia.

Shashkin Alexandr Ivanovitch e-mail: dean@amm.vsu.ru, Professor, D. Sc. Phys. & Math., Voronezh State University, Voronezh, Russia.

Shashkina Sofya Alexandrovna e-mail: soffia-alex@inbox.ru, Assistant Professor, Ph. D. Phys. & Math., Federal State Public Military Educational Institution of Higher Professional Education “Military Training and Research Center of the Air Force “The Air Force Academy named after Professor N.E.Zhukovsky and Yu.A.Gagarin”, Voronezh, Russia.

Pages:164-181
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