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.
@article{arxiv.2210.05502,
title = {A new shape optimization approach for fracture propagation},
author = {Tim Suchan and Kathrin Welker and Winnifried Wollner},
journal= {arXiv preprint arXiv:2210.05502},
year = {2025}
}
Comments
10 pages, 6 figures, Accepted for publication in: Proceedings in Applied Mathematics and Mechanics 2022