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Stability of a dislocation : Discrete model

Published online by Cambridge University Press:  01 August 1998

A. B. MOVCHAN ,
R. BULLOUGH  and
J. R. WILLIS
A. B. MOVCHAN
Affiliation:
School of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK
R. BULLOUGH
Affiliation:
4 Long Meadow, Manor Road, Goring, Reading RG8 9EQ, UK
J. R. WILLIS
Affiliation:
D.A.M.T.P., Silver Street, Cambridge CB3 9EW, UK
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Abstract

An algorithm, based on a discrete nonlinear model, is presented for evaluation of the critical shear stress required to move a dislocation through a lattice. The stability of solutions of the corresponding evolution problem is analysed. Numerical results provide upper and lower bounds for the critical shear stress.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 9 , Issue 4 , August 1998 , pp. 373 - 396
Copyright
1998 Cambridge University Press

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