Mathematical model of massive dynamics in the neighborhood of disturbance focus

Journal Article · Fri Sep 18 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4930481· OSTI ID:22488895

Alexeeva, Lyudmila A. ^[1]; Sarsenov, Bakytbek T. ^[2]

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1. Institute of Mathematics and Mathematical Modeling, 050010, Almaty (Kazakhstan)
2. Akhmet Yasawi International Kazakh-Turkish University, 161200 Turkistan (Kazakhstan)

We consider a model problem for the research of Earth’s surface state caused by discharge of tectonic stress on the deep cracks in the earth’s crust. Using the numerical method of bicharacteristics, algorithm is developed and solution of the problem of non-stationary dynamics of a homogeneous isotropic elastic half-space is built under plane strain when one resets the vertical stress on crack. Diffraction of waves on the surface is studied, pictures of wave fields and stress-strain state of the medium and the surface for different moments of time are built.

• OSTI ID: 22488895
• Journal Information: AIP Conference Proceedings, Vol. 1676, Issue 1; Conference: International conference on advancements in mathematical sciences, Antalya (Turkey), 5-7 Nov 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
CRACKS
DIFFRACTION
DISTURBANCES
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
SPACE
STRAINS
STRESSES
SURFACES