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Fundamental and applied issues of mining

2019 year, number 1

MECHANICAL-MATHEMATICAL MODEL OF LITHOSPHERIC GEODYNAMICS CAUSED BY INERTIAL FORCES OF THE EARTH ROTATION AND REACTION FORCES OF ASTHENOSPHERIC LAYER, LOSS OF DEFORMATION STABILITY

A. A. Baimukhametov1, K. K. Koksalov2
1Almaty Technological University, Almaty, Kazakhstan
2Kazakh National Pedagogical University, Almaty, Kazakhstan
Keywords: Вязкоупругая литосфера, устойчивость деформирования, астеносфера, течение, напряженное состояние, Viscoelastic litosphere, stability of deformation, astenosphere, flow, stress state

Abstract

The model of lithospheric geodynamics is considered within a problem on viscoelastic litosphere deformation under the influence of inertial rotation forces and viscous forces of spherical Couette flow in an astenosphere. This flow determines the nature of internal geodynamic pressure and tangential stresses. Depending on the difference of angular velocities of lithosphere and mantle rotation, the lithospheric shell can be in comprehensive expansion or compression conditions. The mechanism of local changes in the litosphere thickness as a result of instability of deformation of the Earth’s lithospheric shell under the influence of internal pressure and volume inertial forces of rotation is found. Loss of deformation stability is investigated by the Leibenzon-Ishlinskiy’s method. Within a viscoelastic rheology of litosphere, the stress-strain state of a litospheric plate under bilateral compression is analyzed.