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All Journal Journal of International Multidisciplinary Research International Journal of Mechanics, Energy Engineering and Applied Science (IJMEAS)
Nguyen, Dien
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Automotive Engineering Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Electrical & Electronics Engineering Industrial & Manufacturing Engineering Other

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Using Finite Element Method to Calculate Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate Based on Energy Methods Nguyen, Dien
International Journal of Mechanics, Energy Engineering and Applied Science (IJMEAS) Vol. 3 No. 2 (2025): IJMEAS - May
Publisher : Yayasan Ghalih Pelopor Pendidikan (Ghalih Foundation)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53893/ijmeas.v3i2.395

Abstract

In the field of crack mechanics, predicting the direction of the crack when the propagation crack occurs is important because this will evaluate the crack when it propagates whether it penetrates into important areas, the danger of the structure or not. This paper will refer to three theories that predict the propagation direction of cracks: the theory of maximum tangential normal stress, the theory of maximum energy release and the 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, simulate 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 J-integral, the SIFs and crack propagation. The errors of SIFs of a functionally-graded material (FGM)rectangular plate has a Internal Crack of 0.33% for , 0.43% for , the J-integral of 1.62% and crack propagation angle of 0.15%. The FEM gave good errors compared to Experimental and Exactly methods.
Finite Element Method for Stress Analysis of an Infinite Plate with an Elliptical Hole Using Functionally Graded Materials Nguyen, Dien
Journal of International Multidisciplinary Research Vol. 4 No. 3 (2026): Maret 2026
Publisher : PT. Banjarese Pacific Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62504/jimr1365

Abstract

This study investigates the stress concentration factor in an infinite steel plate with a thickness of 1 cm, containing an elliptical hole, subjected to biaxial loading at infinity. The elliptical hole has semi-axes a=5.0 cma = 5.0 \, \text{cm}a = 5.0 cm (major axis) and b=2.5 cmb = 2.5 \, \text{cm}b = 2.5 cm (minor axis). The applied stresses at infinity are a tensile stress of σ1=100 kg/cm2\sigma_1 = 100 \, \text{kg/cm}^2= 100 kg/parallel to the major axis and a compressive stress of σ2=−100 kg/cm2\sigma_2 = -100 \, \text{kg/cm}^2= -100 kg/ perpendicular to the major axis. The material properties include Young's modulus E=2.1×106 kg/cm2E = 2.1 \times 10^6 \, \text{kg/cm}^2E = 2,1.  kg/ and Poisson's ratioν=0.3\nu = 0.3  = 0.3. Using analytical solutions from classical elasticity theory, the maximum tangential stress at the edge of the ellipse is calculated as σmax=600 kg/cm2\sigma_{\text{max}} = 600 \, \text{kg/cm}^2= -600 kg/, yielding a stress concentration factor of kσ=σmax/σ=6k_\sigma = \sigma_{\text{max}} / \sigma = 6 =  =6. Additionally, a finite element (FE) analysis based on the Salerno and Sahoni problem for a quarter section of the plate results in kσ=3.1125k_\sigma = 3.1125 = 3.1125 for a configuration with s/r=5s/r = 5s/r = 5, showing a discrepancy of 1.3% compared to the theoretical value of kσ=3.1k_\sigma = 3.1= 3.1 from Peterson's Stress Concentration Factors. The results demonstrate good agreement between the calculated model and theoretical predictions, validating the accuracy of the FE approach for stress concentration analysis in such configurations.
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