INTERACTION BETWEEN PERIODIC ELASTIC WAVES AND TWO CONTACT NONLINEARITIES

Interaction between periodic elastic waves and two contact nonlinearities

Propagation of compressional elastic waves through a 1-D medium with contact nonlinearities

Relative-Periodic Elastic Collisions of Water Waves

We compute time-periodic and relative-periodic solutions of the free-surface Euler equations that take the form of overtaking collisions of unidirectional solitary waves of different amplitude on a periodic domain. As a starting guess, we superpose two Stokes waves offset by half the spatial period. Using an overdetermined shooting method, the background radiation generated by collisions of the...

Frictional elastic contact with periodic loading

0020-7683/$ see front matter 2011 Elsevier Ltd. A doi:10.1016/j.ijsolstr.2011.03.008 ⇑ Corresponding author. Tel.: +1 7349360406; fax: E-mail address: [email protected] (J.R. Barber). Quasi-static frictional contact problems for bodies of fairly general profile that can be represented as half planes can be solved using an extension of the methods of Ciavarella and Jäger. Here we consider the ta...

Contact between nonlinearly elastic bodies

We study the contact between nonlinearly elastic bodies by variational methods. After the formulation of the mechanical problem we provide existence results based on polyconvexity and on quasiconvexity. Then we derive the Euler-Lagrange equation as a necessary condition for minimizers. Here Clarke’s generalized gradients are the essential tool to treat the nonsmooth obstacle condition.