In this paper we introduce some new classes of functions, among these a class of weak diffeomorphisms. In these classes we prove by direct methods the existence of minimizers for several kinds of variational integrals. In particular, we prove the existence of one-to-one orientation-preserving maps that minimize suitable energies associated with hyperelastic materials. The minimizers are also proved to satisfy equilibrium equations. Finally radial deformations are discussed in connection with cavitation.
|Titolo:||Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity|
|Data di pubblicazione:||1989|
|Appare nelle tipologie:||1.1 Articolo in rivista|