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Abstract <p> As a model of shear rupture in the Earth’s crust at the depths of seismic activity, whichgrows with a velocity exceeding the velocity of longitudinal waves, we consider a Volterra edgedislocation moving in an infinite isotropic elastic medium under the action of preliminarytangential stresses. In the plane strain approximation, the equations of stationary motion of themedium around the dislocation are reduced to a hyperbolic system of equations for velocities andstresses, which is integrated by the method of characteristics. Using the invariant<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11754_2025_5362_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(J\)</EquationSource> </InlineEquation>–integral, an estimate of the energy released during the motion of dislocationis obtained, depending on the velocity, the value of tangential stress at infinity, the length of thefan adjacent to the vertex of dislocation, and on the nature of the distribution of the Burgersvector in the fan.</p>

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The Problem on an Edge Dislocation Running at Superseismic Velocity

  • 期刊论文

  • 发表日期：

    2025年11月2日

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  • V. M. Sadovskii,
  • O. V. Sadovskaya

摘要

Abstract

As a model of shear rupture in the Earth’s crust at the depths of seismic activity, whichgrows with a velocity exceeding the velocity of longitudinal waves, we consider a Volterra edgedislocation moving in an infinite isotropic elastic medium under the action of preliminarytangential stresses. In the plane strain approximation, the equations of stationary motion of themedium around the dislocation are reduced to a hyperbolic system of equations for velocities andstresses, which is integrated by the method of characteristics. Using the invariant \(J\) –integral, an estimate of the energy released during the motion of dislocationis obtained, depending on the velocity, the value of tangential stress at infinity, the length of thefan adjacent to the vertex of dislocation, and on the nature of the distribution of the Burgersvector in the fan.