Journal article
Asymptotic analysis of a system of algebraic equations arising in dislocation theory
- Abstract:
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The system of algebraic equations given by $\sum_{j=0, j \neq i}^n sgn(x_i - x_j) / |x_i - x_j|^a = 1, i = 1, 2, \ldots n, x_0 = 0,$ appears in dislocation theory in models of dislocation pile-ups. Specifically, the case a = 1 corresponds to the simple situation where n dislocations are piled up against a locked dislocation, while the case a = 3 corresponds to n dislocation dipoles piled up against a locked dipole. We present a general analysis of systems of this type for a > 0 and n la...
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Bibliographic Details
- Publication date:
- 2010-01-01
Item Description
- UUID:
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uuid:fc3210d3-14ee-45a5-bded-5d22ab9871a2
- Local pid:
- oai:eprints.maths.ox.ac.uk:994
- Deposit date:
- 2011-05-20
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- Copyright date:
- 2010
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