Damage and fracture algorithm using the screened Poisson equation and local remeshing. (June 2016)

• Record Type: Journal Article
• Authors: Areias, P.; Msekh, M.A.; Rabczuk, T.
• Is Part Of: Engineering fracture mechanics. Volume 158(2016)
• Page Start: 116
• Page End: 143
• Publication Date: 2016-06
• Subjects: Screened Poisson equation -- Crack nucleation and propagation -- Local mesh refinement -- Element erosion; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2015.10.042
• Languages: English
• ISSNs: 0013-7944

Abstract

Abstract: We propose a crack propagation algorithm which is independent of particular constitutive laws and specific element technology. It consists of a localization limiter in the form of the screened Poisson equation with local mesh refinement. This combination allows the capturing of strain localization with good resolution, even in the absence of a sufficiently fine initial mesh. In addition, crack paths are implicitly defined from the localized region, circumventing the need for a specific direction criterion. Observed phenomena such as multiple crack growth and shielding emerge naturally from the algorithm. In contrast with alternative regularization algorithms, curved cracks are correctly represented. A staggered scheme for standard equilibrium and screened equations is used. Element subdivision is based on edge split operations using a given constitutive quantity (either damage or void fraction). To assess the robustness and accuracy of this algorithm, we use both quasi-brittle benchmarks and ductile tests.