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.

Cartesian currents,weak diffeomorphisms and existence theorems in nonlinear elasticity / M. GIAQUINTA; G. MODICA; J. SOUCEK. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - STAMPA. - 106:(1989), pp. 97-159. [10.1007/BF00251429]

Cartesian currents,weak diffeomorphisms and existence theorems in nonlinear elasticity

GIAQUINTA, MARIANO;MODICA, GIUSEPPE;
1989

Abstract

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.
1989
106
97
159
M. GIAQUINTA; G. MODICA; J. SOUCEK
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/654706
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