Phase Field Models for Thermal Fracturing and Their Variational Structures

@article{Alfat2022PhaseFM,
  title={Phase Field Models for Thermal Fracturing and Their Variational Structures},
  author={Sayahdin Alfat and Manabu Kimura and M Alifian.M.},
  journal={Materials},
  year={2022},
  volume={15}
}
It is often observed that thermal stress enhances crack propagation in materials, and, conversely, crack propagation can contribute to temperature shifts in materials. In this study, we first consider the thermoelasticity model proposed by M. A. Biot and study its energy dissipation property. The Biot thermoelasticity model takes into account the following effects. Thermal expansion and contraction are caused by temperature changes, and, conversely, temperatures decrease in expanding areas but… 
1 Citations
Correction: Alfat et al. Phase Field Models for Thermal Fracturing and Their Variational Structures. Materials 2022, 15, 2571
The authors were not aware of typographical errors made in the writing phase, and, hence, wish to make the following corrections to the original paper [...]

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