Lyudmila A. Alexeyeva, Bakytbek T. Sarsenov
050010, Kazakhstan, Almaty, Pushkin Str. 125
161200, Kazakhstan, Turkistan, Sattarkhanov str. 29

Abstract. 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.

Received: August 19, 2015

AMS Subject Classification: 65M06, 65M25

Key Words and Phrases: method of bicharacteristics, problem of non-stationary dynamics, homogeneous elastic half-space, diffraction of waves, plane strain

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