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On the use of quarter-point tetrahedral finite elements in linear elastic fracture mechanics

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Title: On the use of quarter-point tetrahedral finite elements in linear elastic fracture mechanics
Authors: Nejati, M
Paluszny, A
Zimmerman, RW
Item Type: Journal Article
Abstract: This paper discusses the reproduction of the square root singularity in quarter-point tetrahedral (QPT) finite elements. Numerical results confirm that the stress singularity is modeled accurately in a fully unstructured mesh by using QPTs. A displacement correlation (DC) scheme is proposed in combination with QPTs to compute stress intensity factors (SIF) from arbitrary meshes, yielding an average error of 2–3%. This straightforward method is computationally cheap and easy to implement. The results of an extensive parametric study also suggest the existence of an optimum mesh-dependent distance from the crack front at which the DC method computes the most accurate SIFs.
Issue Date: 1-Aug-2015
Date of Acceptance: 17-Jun-2015
URI: http://hdl.handle.net/10044/1/24992
DOI: 10.1016/j.engfracmech.2015.06.055
ISSN: 0013-7944
Publisher: Elsevier
Start Page: 194
End Page: 221
Journal / Book Title: Engineering Fracture Mechanics
Volume: 144
Issue: 1
Copyright Statement: © 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor/Funder: Technological Resources PTY Ltd
Commission of the European Communities
Funder's Grant Number: 3100429469
309067
Keywords: Science & Technology
Technology
Mechanics
Quarter-point tetrahedral finite element
Singular element
Stress intensity factor
Unstructured mesh
Displacement correlation
STRESS INTENSITY FACTORS
ENERGY-RELEASE RATES
CRACK-TIP ELEMENTS
ISOPARAMETRIC ELEMENTS
INTEGRAL METHOD
NUMERICAL EVALUATION
FIELD
GROWTH
FRONT
PLATE
Mechanical Engineering & Transports
Publication Status: Published
Online Publication Date: 2015-06-27
Appears in Collections:Earth Science and Engineering
Faculty of Engineering



This item is licensed under a Creative Commons License Creative Commons