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 | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/qam/2086037

Article copyright:
© Copyright 2004
American Mathematical Society