Propagation of complex discontinuities with piecewise constant and variable velocities along curvilinear and branching trajectories

DOI10.1016/0021-8928(86)90037-7zbMath0647.73014OpenAlexW2016800347MaRDI QIDQ1104794

A. S. Bykovtsev

Publication date: 1986

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(86)90037-7

zbMATH Keywords

pure shearexact solutionscrackfunctionally invariant solutionsprinciple of superpositionminimum values of the branching anglespure dislocationTheoretical seismograms

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Seismology (including tsunami modeling), earthquakes (86A15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Waves in solid mechanics (74J99)

Related Items (2)

The propagation of a complex fracture area. The exact three-dimensional solution ⋮ Non-stationary supersonic motion of a complex discontinuity

Cites Work

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• On the conditions for the onset of motion of two collinear dislocation discontinuities
• On the simulation of a seismic center
• Some dynamic problems of the theory of elasticity
• Crack propagation at variable velocity
• Crack propagation in an elastic solid subjected to general loading. I: Constant rate of extension. II: Non-uniform rate of extension
• Diffraction of a plane wave by a smooth rigid wedge in an unbounded elastic medium in absence of friction

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