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Analysis of stress intensity factor for fatigue crack using bootstrap S-version finite element model

Muhamad Husnain Mohd Noh (Faculty of Mechanical and Automotive Engineering Technology, Universiti Malaysia Pahang, Pekan, Malaysia)
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)
Akiyuki Takahashi (Department of Mechanical Engineering, Faculty of Science and Technology, Tokyo University of Sciences, Noda, Japan)

International Journal of Structural Integrity

ISSN: 1757-9864

Article publication date: 16 March 2020

Issue publication date: 24 July 2020

99

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

Acknowledgements

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.

Citation

Mohd Noh, M.H., Mohd Romlay, M.A., Liang, C.Z., Shaari, M.S. and Takahashi, A. (2020), "Analysis of stress intensity factor for fatigue crack using bootstrap S-version finite element model", International Journal of Structural Integrity, Vol. 11 No. 4, pp. 579-589. https://doi.org/10.1108/IJSI-10-2019-0108

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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