Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Smooth domain method for crack problems

Authors: Alexander M. Khludnev and Jan Sokołowski
Journal: Quart. Appl. Math. 62 (2004), 401-422
MSC: Primary 35J85; Secondary 35J25, 74B05, 74G99, 74K20
DOI: https://doi.org/10.1090/qam/2086037
MathSciNet review: MR2086037
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Abstract: Equilibrium problems for elastic bodies in domains with cracks are considered. Inequality type boundary conditions are imposed at the crack describing a mutual nonpenetration between the crack faces. A new formulation for such problems is proposed in smooth geometrical domains for two-dimensional elasticity and Kirchhoff plates.

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DOI: https://doi.org/10.1090/qam/2086037
Article copyright: © Copyright 2004 American Mathematical Society

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