A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement

• Type: Article in International Scientific Journal
• Date: 2016

Authors

areias, pma (Author) Other; Rabczuk, T (Author) Other; José César de Sá (Author) FEUP

Journal

Title: Computational Mechanics

Vol. 58

Pages: 1003-1018

ISSN: 0178-7675

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 38 Citations

Scopus - 43 Citations

Other information

Authenticus ID: P-00K-X81

DOI: 10.1007/s00466-016-1328-5

Abstract (EN): We propose an alternative crack propagation algorithm which effectively circumvents the variable transfer procedure adopted with classical mesh adaptation algorithms. The present alternative consists of two stages: a mesh-creation stage where a local damage model is employed with the objective of defining a crack-conforming mesh and a subsequent analysis stage with a localization limiter in the form of a modified screened Poisson equation which is exempt of crack path calculations. In the second stage, the crack naturally occurs within the refined region. A staggered scheme for standard equilibrium and screened Poisson equations is used in this second stage. Element subdivision is based on edge split operations using a constitutive quantity (damage). To assess the robustness and accuracy of this algorithm, we use five quasi-brittle benchmarks, all successfully solved.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16