Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 341, Issue -, Pages 485-516Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2018.06.023
Keywords
Plasticity; Incompressibility; Limit analysis; Adaptive; Quadtree meshes
Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [107.02-2016.19]
- RISE-project BESTOFRAC-H2020 [734370]
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We propose a simple and efficient scheme based on adaptive finite elements over conforming quadtree meshes for collapse plastic analysis of structures. Our main interest in kinematic limit analysis is concerned with both purely cohesive-frictional and cohesive materials. It is shown that the most computational efficiency for collapse plastic problems is to employ an adaptive mesh strategy on quadtree meshes. However, a major difficulty in finite element formulations is the appearance of hanging nodes during adaptive process. This can be resolved by a definition of conforming quadtree meshes in the context of polygonal elements. Piecewise-linear shape functions enhanced with generalized bubble functions in barycentric coordinates are used to approximate the velocity field. Numerical results prove the reliability and benefit of the present approach. (C) 2018 Elsevier B.V. All rights reserved.
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