Journal
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS
Volume 57, Issue -, Pages 225-235Publisher
OXFORD UNIV PRESS
DOI: 10.1093/qjmam/57.2.225
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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.
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