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- Title
Non‐unique slipping in the coulomb friction model in two‐dimensional linear elasticity.
- Authors
HILD, PATRICK
- Abstract
This work is concerned with the Coulomb friction model in continuum linear elastostatics. We consider the two‐dimensional problem and we recall that an infinity of solutions corresponding to slip may exist when the friction coefficient (or its opposite value) is an eigenvalue of a specific problem. We show that such coefficients exist and we determine them explicitly for a simple class of problems. Finally, we exhibit cases in which the static friction problem admits an infinity of solutions slipping in the same direction.
- Subjects
COULOMB friction; EIGENVALUES; ELASTICITY; STATICS; TENSOR algebra
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2004, Vol 57, Issue 2, p225
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/57.2.225