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New phenomenological behavior laws for rubbers and thermoplastic elastomers. (English) Zbl 0969.74513

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.

MSC:

74B20 Nonlinear elasticity
74-05 Experimental work for problems pertaining to mechanics of deformable solids
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