A new shape optimization approach for fracture propagation
arXiv:2210.05502 · doi:10.1002/pamm.202200124
Abstract
Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the proposed method does not require a specified 'length-scale' parameter defining the diffused interface region of the phase-field. We provide the formulation and discuss the used solution approach. We conclude with some numerical comparisons with well-established single-edge notch tension and shear tests.
arXiv comment10 pages, 6 figures, Accepted for publication in: Proceedings in Applied Mathematics and Mechanics 2022
References in corpus (5)
- Efficient PDE constrained shape optimization based on Steklov-Poincaré type metrics
- A Riemannian View on Shape Optimization
- Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator
- Algorithmic aspects of multigrid methods for optimization in shape spaces
- A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model with irreversibility constraints