Brittle fracture on plates governed by topological derivatives. Issue 1 (30th September 2021)

• Record Type: Journal Article
• Authors: Xavier, Marcel; Van Goethem, Nicolas
• Is Part Of: Engineering computations. Volume 39:Issue 1(2022)
• Page Start: 421
• Page End: 437
• Publication Date: 2021-09-30
• Subjects: Crack nucleation and propagation phenomena -- Francfort–Marigo damage theory -- Kirchhoff and Reissner–Mindlin plate model -- Topological derivative method -- Crack nucleation/propagation algorithm; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-07-2021-0375
• Languages: English
• ISSNs: 0264-4401

Abstract

Abstract : Purpose: In the paper an approach for crack nucleation and propagation phenomena in brittle plate structures is presented. Design/methodology/approach: The Francfort–Marigo damage theory is adapted to the Kirchhoff and Reissner–Mindlin plate bending models. Then, the topological derivative method is used to minimize the associated Francfort–Marigo shape functional. In particular, the whole damaging process is governed by a threshold approach based on the topological derivative field, leading to a notable simple algorithm. Findings: Numerical simulations are driven in order to verify the applicability of the proposed method in the context of brittle fracture modeling on plates. The obtained results reveal the capability of the method to determine nucleation and propagation including bifurcation of multiple cracks with a minimal number of user-defined algorithmic parameters. Originality/value: This is the first work concerning brittle fracture modeling of plate structures based on the topological derivative method.