an:05883495
Zbl 1210.74126
Rocca, R??mi; Cocu, Marius
Existence and approximation of a solution to quasistatic Signorini problem with local friction
EN
Int. J. Eng. Sci. 39, No. 11, 1233-1255 (2001).
00277923
2001
j
74M10 74G10 74G25 74M15
Summary: We consider an elastic body submitted to a local Coulomb friction law on a part of his boundary. After discretizing the variational formulation with respect to time, we use a smoothing technique to approximate the friction law in an auxiliary problem. A shifting technique enables us to obtain the existence of a solution with bounds independent of the regularization parameter. We prove the existence of a solution for the incremental problem, which is bounded independently of time and we construct a solution of the quasistatic problem by taking the limit of incremental solution.