On the use of quarter-point tetrahedral finite elements in linear elastic fracture mechanics
File(s)EFM.pdf (5.03 MB)
Accepted version
Author(s)
Nejati, M
Paluszny, A
Zimmerman, RW
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.
Date Issued
2015-08-01
Date Acceptance
2015-06-17
Citation
Engineering Fracture Mechanics, 2015, 144 (1), pp.194-221
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
Technological Resources PTY Ltd
Commission of the European Communities
Identifier
https://www.sciencedirect.com/science/article/pii/S0013794415003215
Grant Number
3100429469
309067
Subjects
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
Date Publish Online
2015-06-27