## Analysis of the Displacement Field of a Moving Dislocation in a Crystal |

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### Contents

Stationary Phase Conditions | 5 |

NonUniform Approximation for DCu j | 12 |

NonUniform Asymptotic Evaluation of Dun | 17 |

2 other sections not shown

### Common terms and phrases

Airy function alescence analytic continuation asymptotic displacement field asymptotic expansion atomic displacements branch cuts branch points cation complex compute corresponds critical angle critical points cubic crystal curve damping constant nQ dislocation core dislocation velocity drop the subscript dx/dz edge equations 2.10 evaluate the integral evaluation of D(0 exponential field decreases figure finite damping Flytzanis force law formulae of sections Fourier transform higher order inside the wake integral for D(y integrand Ishioka large oscillatory displacements lattice leading order m,-n mn method of stationary moving dislocation numerical evaluation numerical integration obtain oscillations phonon damping Phys physical Plot of D(y points x^v pole radiative field real stationary points reduces results of numerical screw dislocation separated singularities slip plane snapping bond model solution speed of sound stationary phase condition stationary points coalesce steepest descent strain field tion totic transformation uniform asymp uniform motion University of Virginia vanishes versus wave x-plane zero