ResearchResearch paperTraining & Scaling · Efficiency & Inference1 source · Oct 7, 2026

An extended deep energy method for thermo-mechanical crack propagation

We present an extended deep energy method for thermo-mechanical crack propagation in which the crack remains a sharp polyline.

Key points

  • Thermo-mechanical fracture couples transient heat conduction on a cracked domain with a crack that grows as the temperature and the displacement evolve.
  • Neural energy solvers have been proposed for phase-field fracture and later extended to represent a sharp crack through the network input, but heat conduction on the cracked domain and crack propagation under the resulting thermal stresses have not yet been treated together in these solvers.
  • The stress intensity factors are extracted by the interaction integral with the area term of Wilson and Yu and checked by a sweep of the contour radius, and the crack advances at the maximum hoop stress angle when the energy release rate of the kink reaches the critical value at the crack-tip temperature.
  • On a stationary thermal edge crack the extracted stress intensity factor agrees with the published value to 0.11%, in a functionally graded shear test initiation agrees with an independent sharp-crack finite element solution to within one load step, and on a notched cruciform specimen the crack paths follow the published solutions under mechanical, thermal and combined loading.

Sources (1)

  • [1]An extended deep energy method for thermo-mechanical crack propagation
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 7, 04:42 AM
    We present an extended deep energy method for thermo-mechanical crack propagation in which the crack remains a sharp polyline.
    Thermo-mechanical fracture couples transient heat conduction on a cracked domain with a crack that grows as the temperature and the displacement evolve.

Extractive summary: sentences quoted from the sources.

Related