Unilateral problems in nonlinear three-dimensional elasticity (Q761823)

The authors discuss the title topic. A series of theorems by \textit{J. M. Ball} [ibid. 63, 337-403 (1977; Zbl 0368.73040)] on the existence of solutions are discussed in detail. Ball's results are then extended to include unilateral boundary conditions corresponding to contact without friction and to locking constraints on the deformation. The paper is theoretical, written in the notation of modern, continuum theory. It should be of interest and use to those concerned with existence and uniqueness of solutions in nonlinear elasticity.