Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff–Love plates

Videla, Javier, Contreras, Felipe, Nguyen, Hoang and Atroshchenko, Elena (2020) Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff–Love plates. Computer Methods in Applied Mechanics and Engineering, 361. p. 112754. ISSN 0045-7825

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Official URL: https://doi.org/10.1016/j.cma.2019.112754

Abstract

In this work, we present an eXtended Geometry Independent Field approximaTion (X–GIFT) formulation for cracked Kirchhoff–Love plates. The plate geometry is modeled by Non-Uniform Rational B-Splines (NURBS) while the solution is approximated by Polynomial Splines over Hierarchical T-meshes (PHT-splines) and enriched by the Heaviside function and crack tip asymptotic expansions. The adaptive refinement is driven by a recovery-based error estimator. The formulation is employed for bending and vibration analysis. We compare different strategies for refinement, enrichment and evaluation of fracture parameters. The obtained results are shown to be in a good agreement with the reference solutions.

Item Type: Article
Uncontrolled Keywords: Kirchhoff–Love plate theory, Fracture mechanics, Extended isogeometric analysis, Recovery-based error estimates, PHT-splines, Adaptive refinement
Subjects: H200 Civil Engineering
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Elena Carlaw
Date Deposited: 12 Oct 2020 12:20
Last Modified: 12 Oct 2020 12:30
URI: http://nrl.northumbria.ac.uk/id/eprint/44480

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