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The two-dimensional stress fields induced by a set of infinitely many parallel edge dislocations are difficult to estimate as those of individual dislocations decay slowly. A simple numerical method to compute them is proposed. The method is based on series summation using a convergence factor, (Formula presented.) that decays rapidly with radial distance r from the field point, and letting the positive parameter (Formula presented.) numerically through Richardson extrapolation. The present method is more general than a lattice summation method with explicit spurious stress cancellation that is widely used in the literature. Furthermore, the spurious long-range stresses are cancelled in the present method without explicit evaluation. © 2021 Informa UK Limited, trading as Taylor & Francis Group.
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Journal | Data powered by TypesetPhilosophical Magazine Letters |
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Publisher | Data powered by TypesetTaylor and Francis Ltd |
ISSN | 09500839 |
Open Access | No |