Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method

The finite element method (FEM) is a widely used technique in research, including but not restricted to the growth of cracks in engineering applications. However, failure to use fine meshes poses problems in modeling the singular stress field around the crack tip in the singular element region. This...

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Main Authors: Abdulnaser M. Alshoaibi, Yahya Ali Fageehi
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Metals
Subjects:
Online Access:https://www.mdpi.com/2075-4701/11/1/98
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author Abdulnaser M. Alshoaibi
Yahya Ali Fageehi
author_facet Abdulnaser M. Alshoaibi
Yahya Ali Fageehi
author_sort Abdulnaser M. Alshoaibi
collection DOAJ
description The finite element method (FEM) is a widely used technique in research, including but not restricted to the growth of cracks in engineering applications. However, failure to use fine meshes poses problems in modeling the singular stress field around the crack tip in the singular element region. This work aims at using the original source code program by Visual FORTRAN language to predict the crack propagation and fatigue lifetime using the adaptive dens mesh finite element method. This developed program involves the adaptive mesh generator according to the advancing front method as well as both the pre-processing and post-processing for the crack growth simulation under linear elastic fracture mechanics theory. The stress state at a crack tip is characterized by the stress intensity factor associated with the rate of crack growth. The quarter-point singular elements are constructed around the crack tip to accurately represent the singularity of this region. Under linear elastic fracture mechanics (LEFM) with an assumption in various configurations, the Paris law model was employed to evaluate mixed-mode fatigue life for two specimens under constant amplitude loading. The framework includes a progressive analysis of the stress intensity factors (SIFs), the direction of crack growth, and the estimation of fatigue life. The results of the analysis are consistent with other experimental and numerical studies in the literature for the prediction of the fatigue crack growth trajectories as well as the calculation of stress intensity factors.
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spelling doaj.art-0b421d4e65274defa0508c9acc1feaad2023-11-21T08:55:52ZengMDPI AGMetals2075-47012021-01-011119810.3390/met11010098Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element MethodAbdulnaser M. Alshoaibi0Yahya Ali Fageehi1Mechanical Engineering Department, Jazan University, Jazan 45142, Saudi ArabiaMechanical Engineering Department, Jazan University, Jazan 45142, Saudi ArabiaThe finite element method (FEM) is a widely used technique in research, including but not restricted to the growth of cracks in engineering applications. However, failure to use fine meshes poses problems in modeling the singular stress field around the crack tip in the singular element region. This work aims at using the original source code program by Visual FORTRAN language to predict the crack propagation and fatigue lifetime using the adaptive dens mesh finite element method. This developed program involves the adaptive mesh generator according to the advancing front method as well as both the pre-processing and post-processing for the crack growth simulation under linear elastic fracture mechanics theory. The stress state at a crack tip is characterized by the stress intensity factor associated with the rate of crack growth. The quarter-point singular elements are constructed around the crack tip to accurately represent the singularity of this region. Under linear elastic fracture mechanics (LEFM) with an assumption in various configurations, the Paris law model was employed to evaluate mixed-mode fatigue life for two specimens under constant amplitude loading. The framework includes a progressive analysis of the stress intensity factors (SIFs), the direction of crack growth, and the estimation of fatigue life. The results of the analysis are consistent with other experimental and numerical studies in the literature for the prediction of the fatigue crack growth trajectories as well as the calculation of stress intensity factors.https://www.mdpi.com/2075-4701/11/1/98LEFMmesh densitymixed mode stress intensity factorsfatigue crack growthFEM
spellingShingle Abdulnaser M. Alshoaibi
Yahya Ali Fageehi
Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method
Metals
LEFM
mesh density
mixed mode stress intensity factors
fatigue crack growth
FEM
title Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method
title_full Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method
title_fullStr Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method
title_full_unstemmed Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method
title_short Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method
title_sort simulation of quasi static crack propagation by adaptive finite element method
topic LEFM
mesh density
mixed mode stress intensity factors
fatigue crack growth
FEM
url https://www.mdpi.com/2075-4701/11/1/98
work_keys_str_mv AT abdulnasermalshoaibi simulationofquasistaticcrackpropagationbyadaptivefiniteelementmethod
AT yahyaalifageehi simulationofquasistaticcrackpropagationbyadaptivefiniteelementmethod