• Corpus ID: 239009605

Phase field models for thermal fracturing and their variational structures

  title={Phase field models for thermal fracturing and their variational structures},
  author={Sayahdin Alfat and Manabu Kimura and M Alifian.M.},
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 (1956) 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… 


Irreversible phase field models for crack growth in industrial applications: thermal stress, viscoelasticity, hydrogen embrittlement
Three new industrial applications of irreversible phase field models for crack growth are presented in this study. The phase field model for irreversible crack growth in an elastic material is
Thermoelastic fracture modelling in 2D by an adaptive cracking particle method without enrichment functions
  • W. Ai, C. Augarde
  • Materials Science
    International Journal of Mechanical Sciences
  • 2019
The extended finite element method in thermoelastic fracture mechanics
The extended finite element method (XFEM) is applied to the simulation of thermally stressed, cracked solids. Both thermal and mechanical fields are enriched in the XFEM way in order to represent
Study of Crack Interaction Effects Under Thermal Loading by Digital Photoelasticity and Finite Elements
The effect of an interacting internal crack on the edge crack in a transient thermal stress field is evaluated using digital photothermoelastic experiments and finite element (FE) analysis.
A model for heat transfer in cohesive cracks
Ordinary state-based peridynamic modelling for fully coupled thermoelastic problems
An ordinary state-based peridynamic model is developed for transient fully coupled thermoelastic problems. By adopting an integral form instead of spatial derivatives in the equation of motion, the
Morphogenesis and propagation of complex cracks induced by thermal shocks.
A quasistatic gradient damage model is used to perform large-scale numerical simulations showing that the propagation of fully developed cracks follows Griffith criterion and depends only on the fracture toughness, while crack morphogenesis is driven by the material's internal length.