Abstract
This contribution presents a thermodynamically sound approach to model temperature sensitive diffusion in multi-phase solids. In order to describe the phenomena of thermal diffusion (thermophoresis) and to simulate the effect numerically, an extended version of the Cahn-Hilliard phase-field model is combined with the heat-diffusion equation. The derived model is formulated consistently with the basic laws of thermodynamics. Its discretized version is embedded in a NURBS-based finite element framework. Numerical simulations and a comparison to experimental results show the effect of thermal diffusion, induced by non-uniform and non-steady temperature fields, on the microstructural evolution of a binary polymer blend consisting of polydimethylsiloxane and polyethylmethylsiloxane.
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Acknowledgments
The authors gratefully acknowledge the support of the Deutsche Forschungsgemeinschaft (DFG) under the grants WE2525/2-3, WE2525/4-1 and WE2525/8-1.
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Weinberg, K., Schuß, S., Anders, D. (2016). Thermal Diffusion in a Polymer Blend. In: Weinberg, K., Pandolfi, A. (eds) Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems. Lecture Notes in Applied and Computational Mechanics, vol 81. Springer, Cham. https://doi.org/10.1007/978-3-319-39022-2_13
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DOI: https://doi.org/10.1007/978-3-319-39022-2_13
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