Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Admissible traction boundary conditions along the crack line in nonlocal elasticity


Author: Nasit Ari
Journal: Quart. Appl. Math. 46 (1988), 727-736
MSC: Primary 73C35; Secondary 73M05
DOI: https://doi.org/10.1090/qam/973386
MathSciNet review: 973386
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Abstract: Mixed boundary conditions for integro-differential systems in general lead to overdetermined problems. A specific instance of this problem is encountered in nonlocal elasticity. The ensuing consistency problem is analyzed by utilizing the asymptotic properties of eigenfunctions associated with the kernel of a Fredholm equation of the first kind. Finally as an example, a well-posed set of mixed boundary values are derived for the one-dimensional nonlocal Griffith crack problem.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/973386
Article copyright: © Copyright 1988 American Mathematical Society


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