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

作者：Areias P^*; Rabczuk T; Cesar de Sa J

来源：Computational Mechanics, 2016, 58(6): 1003-1018.

DOI：10.1007/s00466-016-1328-5

• Two-stage algorithm
• Local mesh refinement
• Smeared model
• Crack nucleation and propagation
• Quasi-brittle fracture

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.

• 出版日期2016-12