an:01212445
Zbl 0907.73052
Eck, C.; Jaru??ek, J.
Existence results for the static contact problem with Coulomb friction
EN
Math. Models Methods Appl. Sci. 8, No. 3, 445-468 (1998).
00045743
1998
j
74A55 74M15
penalty method; smoothing procedure; friction functional; optimal trace estimates; Lam?? equations; upper bound
We prove the existence of solutions to the static contact problem with Coulomb friction, provided that the friction coefficient is small enough. The proof employs the penalty method and a certain smoothing procedure for the friction functional. Using optimal trace estimates for the solutions of the Lam?? equations, we calculate an upper bound for the admissible friction coefficient.