Abstract
The contribution at hand aims at the formulation of a promising constitutive model for solids exhibiting thermo-viscoelastic characteristics. Temperature dependency and nonlinear creep properties are included into this material formulation. In general, a phenomenological constitutive formulation considering isotropic thermoviscoelasticity at finite strains is introduced based upon a multiplicative split of the deformation gradient. The evolution equations for the inelastic deformation gradient are introduced in a thermo-dynamically consistent manner. In particular, the present approach focuses on an inelastic incompressibility condition and the principle of maximum of dissipation. The derivation starts from a well-defined Helmholtz energy function, which also includes a volumetric thermal deformation. For simplicity, isotropic thermal conductivity behavior is taken into account. The set of constitutive equations is consistently linearized and incorporated into a Newton-type solver. The physical applicability of the present formulation is validated by a promising numerical study, which has also demonstrated favourable numerical stability and robustness.
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Zhang, L., Yin, B., Fleischhauer, R., Kaliske, M. (2023). A Temperature-Dependent Viscoelastic Approach to the Constitutive Behavior of Semi-Crystalline Thermoplastics at Finite Deformations. In: Altenbach, H., Naumenko, K. (eds) Creep in Structures VI. IUTAM 2023. Advanced Structured Materials, vol 194. Springer, Cham. https://doi.org/10.1007/978-3-031-39070-8_19
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