Sur la formulation de Herrmann pour l'étude des solides incompressibles

An exposition of Herrmann's formulation is givent first, and its extension to the anisotropic case is presented following a new way. Using this method, the matrix of material coefficients can be computed in a fully automated manner. The existence of the solution is discussed next. Four criteria are obtained. Three of these are necessary and sufficient, and the fourth, only necessary but of fairly simple use. Some applications are presented to illustrate the theoretical results.