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Thermoviscoelasticity of fibre reinforced rubbery polymers

Dal, Hüsnü
Kaliske, Michael
Hickmann, Rico
Cherif, Chokri
Jurk, Rene
Heinrich, Gert
Fibre or textile reinforcement is commonly used in order to enhance the directional mechanical and thermal properties of rubbery polymers. For the quantitative analysis and design of fibre reinforced elastomeric materials, precise description of the composite behaviour plays a crucial role. To this end, a coupled thermomechanical formulation at finite strains is presented. The anisotropic thermal and mechanical properties are homogenized analytically throughout the constitutive description. For the description of the directional mechanical properties, logarithmic strain measures at fibre orientation direction are introduced in order to describe the fibre behaviour. The viscosity plays a crucial role in the heating of rubber components under cyclic loading. Contribution of thermodynamically consistent heat sources to the thermal problem are also considered. The coupled finite element implementation based on the isothermal split algorithm is demonstrated by a benchmark numerical example.