Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 351, Issue -, Pages 860-890Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2019.03.058
Keywords
Phase-field fracture propagation; Non-isothermal fracture; Mesh adaptivity; Benchmark tests; Thermo-poroelasticity
Funding
- German Research Foundation [DFG SPP 1748, WI 4367/2-1]
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In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws between a porous medium and the fracture. The resulting model is augmented with thermodynamical arguments and then analyzed from a mechanical perspective. The numerical solution is based on a robust semi-smooth Newton approach in which the linear equation systems are solved with a generalized minimal residual method and algebraic multigrid preconditioning. The proposed modeling and algorithmic developments are substantiated with different examples in two- and three dimensions. We notice that for some of these configurations manufactured solutions can be constructed, allowing for a careful verification of our implementation. Furthermore, crack-oriented predictor-corrector adaptivity and a parallel implementation are used to keep the computational cost reasonable. Snapshots of iteration numbers show an excellent performance of the nonlinear and linear solution algorithms. Lastly, for some tests, a computational analysis of the effects of strain-energy splitting is performed, which has not been undertaken to date for similar phase-field settings involving pressure, fluids or non-isothermal effects. (C) 2019 Elsevier B.V. All rights reserved.
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