Lambert-Diani, Julie; Rey, Christian New phenomenological behavior laws for rubbers and thermoplastic elastomers. (English) Zbl 0969.74513 Eur. J. Mech., A, Solids 18, No. 6, 1027-1043 (1999). Summary: A phenomenological study of rubber-like materials undergoing pure homogeneous strain such as uniaxial tension, pure shear and (equi-)biaxial tension, leads to a generalized strain energy density representation for hyperelastic incompressible elastomeric material behavior. Based on experimental observations, we introduce an additional decomposition of strain energy density into two functions, each depending on one of the non-constant principal strain invariants. A new building process of these functions is then proposed combined with a fast parameter identification. The former requires only two sets of data. An agreement between theory and experimental data has been observed on numerous experiments. The new model seems particularly well adapted to account for the state of strain response dependence for rubbers and for thermoplastic elastomers. Cited in 11 Documents MSC: 74B20 Nonlinear elasticity 74-05 Experimental work for problems pertaining to mechanics of deformable solids Keywords:equi-biaxial tension; rubber-like materials; uniaxial tension; pure shear; generalized strain energy density representation; hyperelastic incompressible elastomeric material; decompositon of strain energy density; parameter identification; thermoplastic elastomers PDFBibTeX XMLCite \textit{J. Lambert-Diani} and \textit{C. Rey}, Eur. J. Mech., A, Solids 18, No. 6, 1027--1043 (1999; Zbl 0969.74513) Full Text: DOI