Analysis of stress intensity factor
for fatigue crack using bootstrap
S-version finite element model
Muhamad Husnain Mohd Noh and Mohd Akramin Mohd Romlay
Faculty of Mechanical and Automotive Engineering Technology,
Universiti Malaysia Pahang, Pekan, Malaysia
Chuan Zun Liang
Centre for Mathematical Sciences, Universiti Malaysia Pahang, Pekan, Malaysia
Mohd Shamil Shaari
Faculty of Mechanical and Automotive Engineering Technology,
Universiti Malaysia Pahang, Pekan, Malaysia, and
Akiyuki Takahashi
Department of Mechanical Engineering, Faculty of Science and Technology,
Tokyo University of Sciences, Noda, Japan
Abstract
Purpose – Failure of the materials occurs once the stress intensity factor (SIF) overtakes the material fracture
toughness. At this level, the crack will grow rapidly resulting in unstable crack growth until a complete fracture
happens. The SIF calculation of the materials can be conducted by experimental, theoretical and numerical
techniques. Prediction of SIF is crucial to ensure safety life from the material failure. The aim of the simulation
study is to evaluate the accuracy of SIF prediction using finite element analysis.
Design/methodology/approach – The bootstrap resampling method is employed in S-version finite element
model (S-FEM) to generate the random variables in this simulation analysis. The SIF analysis studies are
promoted by bootstrap S-version Finite Element Model (BootstrapS-FEM). Virtual crack closure-integral
method (VCCM) is an important concept to compute the energy release rate and SIF. The semielliptical crack
shape is applied with different crack shape aspect ratio in this simulation analysis. The BootstrapS-FEM
produces the prediction of SIFs for tension model.
Findings – The mean of BootstrapS-FEM is calculated from 100 samples by the resampling method. The
bounds are computed based on the lower and upper bounds of the hundred samples of BootstrapS-FEM. The
prediction of SIFs is validated with Newman–Raju solution and deterministic S-FEM within 95 percent
confidence bounds. All possible values of SIF estimation by BootstrapS-FEM are plotted in a graph. The mean
of the BootstrapS-FEM is referred to as point estimation. The Newman–Raju solution and deterministic S-FEM
values are within the 95 percent confidence bounds. Thus, the BootstrapS-FEM is considered valid for the
prediction with less than 6 percent of percentage error.
Originality/value – The bootstrap resampling method is employed in S-FEM to generate the random
variables in this simulation analysis.
Keywords Stress intensity factor, S-version finite element model, Bootstrap resampling method, Random
variables, Bounds
Paper type Research paper
1. Introduction
Fatigue crack growth occurs in manufacturing industries in automotive, aerospace, building
and engineering applications. The cracks appear because of inherent defects in the material
Analysis of
stress intensity
factor
579
This study were funded by RDU170383 and RDU1703184 from Universiti Malaysia Pahang (UMP) and
Fundamental Research Grant Scheme (FRGS/1/2017/TK03/UMP/02/24) and (FRGS/1/2018/STG06/
UMP/02/16) from Kementerian Pendidikan Malaysia (KPM) with number RDU170124 and RDU190134
respectively.
The current issue and full text archive of this journal is available on Emerald Insight at:
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Received 18 October 2019
Revised 1 December 2019
Accepted 13 January 2020
International Journal of Structural
Integrity
Vol. 11 No. 4, 2020
pp. 579-589
© Emerald Publishing Limited
1757-9864
DOI 10.1108/IJSI-10-2019-0108