Calculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods

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Publicado en:Materials vol. 18, no. 12 (2025), p. 2698-2715
Autor principal: Nguyen Huu-Dien
Otros Autores: Huang Shyh-Chour
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MDPI AG
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100 1 |a Nguyen Huu-Dien  |u Faculty of Technology, Long An University of Economics and Industry, No.938, QL1 Rd, Khanh Hau Ward, Tan An 82113, Vietnam; nguyen.dien@daihoclongan.edu.vn 
245 1 |a Calculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods 
260 |b MDPI AG  |c 2025 
513 |a Journal Article 
520 3 |a In the field of crack mechanics, predicting the direction of a crack is important because this will evaluate whether, when the crack propagates, it penetrates into important areas and whether the structure is dangerous or not. This paper will refer to three theories that predict the propagation direction of cracks: a theory of maximum tangential normal stress, a theory of maximum energy release, and a theory of minimum strain energy density. At the same time, the finite element method (FEM)–ANSYS program will be used to calculate stress intensity factors (SIFs), strain energy release rate (J-integral), stress field, displacement near a crack tip, and crack propagation phenomenon based on the above theories. The calculated results were compared with the results in other scientific papers and experimental results. This research used ANSYS program, an experimental method combined with FEM based on the above energy theories to simulate the J-integral, the SIFs, and the crack propagation. The errors of the SIFs of the FGM rectangular plate has a through-thickness center crack of 1.77%, J-integral of 4.49%, and crack propagation angle <inline-formula>θc</inline-formula> of 0.15%. The FEM gave good errors compared to experimental and exact methods. 
653 |a Propagation 
653 |a Finite element method 
653 |a Partial differential equations 
653 |a Strain energy release rate 
653 |a Energy industry 
653 |a Crack propagation 
653 |a Rectangular plates 
653 |a J integral 
653 |a Stress intensity factors 
653 |a Fractures 
653 |a Numerical analysis 
653 |a Methods 
653 |a Errors 
653 |a Normal stress 
653 |a Stress concentration 
653 |a Energy methods 
653 |a Boundary conditions 
653 |a Fracture mechanics 
653 |a Crack tips 
653 |a Stress distribution 
700 1 |a Huang Shyh-Chour  |u Department of Mechanical Engineering, National Kaohsiung University of Science and Technology, No.415, Jiangong Rd, Sanmin Dist, Kaohsiung 807618, Taiwan 
773 0 |t Materials  |g vol. 18, no. 12 (2025), p. 2698-2715 
786 0 |d ProQuest  |t Materials Science Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3223924855/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch 
856 4 0 |3 Full Text + Graphics  |u https://www.proquest.com/docview/3223924855/fulltextwithgraphics/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3223924855/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch