ABSTRACT
In this chapter, the authors present a statistical hyper-visco-elasto-plastic model comprising some characteristic parameters. To identify these parameters from material behavior, a campaign of experimental tests was undertaken at controlled temperatures. These experimental tests were carried out on double-shearing test-piece constituted of a siliconed elastomer filled with silica subjected to triangular cyclic loading and in relaxation test at various levels of deformation. The authors propose a meso-physically motivated approach, for the modeling of the response, at various frequencies and temperatures. A statistical approach is then used to develop a model made up of assembly of generalized rheological models at finite strain. The authors also propose a statistical approach which will generalize the discrete assemblies of branches to an infinity number of branches. The contribution of this method lies in its capacity to cover a wide field of response time. This approach presents the advantage of a multi-branch assembly, without increasing the number of parameters of the model.
