The talk On a crack problem for a strain-limiting nonlinear elastic model, by Hiromichi Itou (Tokyo University of Science), will be held on Monday October 31, 2016 at 9:00 in room K3.
In this talk, a nonlinear crack problem subject to the non-penetration condition is stated in the framework of nonlinear elasticity concept of limiting small strain and investigated with respect to its well-posedness. We introduce the concept of a non-smooth viscosity solution which is described by generalized variational inequalities and coincides with the weak solution in the smooth case. The well-posedness is proved by the construction of an approximation problem using elliptic regularization and penalization techniques. H. Itou, V. A. Kovtunenko, K. R. Rajagopal, Nonlinear elasticity with limiting small strain for cracks subject to non-penetration, Mathematics and Mechanics of Solids, to appear: doi:10.1177/1081286516632380.