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**.

**Abstract**

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.

[1] 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.