Problem of Moving Edge Dislocation
V. M. Sadovskii, O. V. Sadovskaya
Institute of Computational Modelling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russia
Keywords: shear fault, dynamics, fan mechanism, edge dislocation, invariant integral
Abstract
A moving edge dislocation in an infinite elastic medium is considered, simulating a stationary shear fault in the Earth's crust at a depth of seismic activity, which increases as quickly as transverse waves travel. Based on the expansion of the vector displacement field into the sum of the potential and solenoidal fields, an exact singular solution to the problem in a plane formulation in the form of convergent series is constructed. An approximate solution in the form of series segments is analyzed in the Matlab computer system using numerical differentiation and integration procedures. The independence of the invariant J-ntegral, whose value is equal to the driving force of the dislocation (the energy spent on the motion of the dislocation by a unit distance), on its velocity is shown.
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