A new shape optimization approach for fracture propagation

Autor: Suchan, Tim, Welker, Kathrin, Wollner, Winnifried
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 10 pages, 6 figures, Accepted for publication in: Proceedings in Applied Mathematics and Mechanics 2022
Databáze: arXiv