A polytree-based adaptive approach to limit analysis of cracked structures

• Published in: Computer methods in applied mechanics and engineering Vol. 313; pp. 1006 - 1039
• Main Authors: Nguyen-Xuan, H., Nguyen-Hoang, Son, Rabczuk, T., Hackl, K.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.01.2017; Elsevier BV
• Subjects: Accuracy; Adaptivity; Alloys; Bubbles; Cost analysis; Cost engineering; Finite element method; Fracture; Incompressibility; Limit analysis; Locking; Mathematical analysis; Plasticity; Polytree; Solid mechanics; Adaptivity; Fracture; Limit analysis; Incompressibility; Polytree; Plasticity

We in this paper present a novel adaptive finite element scheme for limit analysis of cracked structures. The key idea is to develop a general refinement algorithm based on a so-called polytree mesh structure. The method is well suited for arbitrary polygonal elements and furthermore traditional tri...