A Finite Element Analysis for Evaluation of J-Integral in Plates Made of Functionally Graded Materials with a Semicircular Notch

Bouida, N.; Bouchikhi, Aboubakar Seddik; Megueni, A.; Gouasmi, S.

doi:10.1007/s11668-018-0558-6

Cited by 7 publications

(6 citation statements)

References 30 publications

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“…n this study the numerical calculation is based on FE using ABAQUS software. The direction of variation of the Young's modulus of the FGM is according to r-FGM [17,18].…”

Section: Resultsmentioning

confidence: 99%

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Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading

Bouchikhi¹,

Lousdad

Khalfi

et al. 2019

Frattura Ed Integrità Strutturale

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The investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This paper introduces a 2D numerical investigation used to calculate the J-integral of the main crack behavior emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions in titanium /titanium boride functionally graded material (TiB/Ti FGM) plate subjected to tensile mechanical load. Young's modulus of the functionally graded material plate varies along the specimen width (notch radius direction r-FGM) with exponential-law (E-FGM) function. Further, the Poisson's ratio is taken as a constant in normal direction. For this purpose the variations of the material properties are applied at the integration points and at the nodes by implementing a subroutine USDFLD in the ABAQUS software. The variation of the J-integral according to the position, the length, and the angle of rotation of cracks are examined; also the effect of different parameters for double notch FGM plate is investigated as well as the effect of band of FGM within the ceramic plate to reduce Jintegral. According to the numerical analysis, all parameters above played an important role in determining the J-integral.

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“…n this study the numerical calculation is based on FE using ABAQUS software. The direction of variation of the Young's modulus of the FGM is according to r-FGM [17,18].…”

Section: Resultsmentioning

confidence: 99%

“…where β is a material constant and r is the coordinate by which the material property changes along the notch radius (r-FGM) [17,18]. h is the thickness of the plate and E is the Young modulus, E1 is the Young modulus at r=R, E1 and E2 Young modulus for ceramic and metal respectively Tab.…”

Section: Finite Element Analysismentioning

confidence: 99%

Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading

Bouchikhi¹,

Lousdad

Khalfi

et al. 2019

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

show abstract

“…In this study the numerical calculation is based on FE using ABAQUS software. The direction of variation of the Young's modulus of the FGM is according to r-FGM (Bouchikhi et al, 2019;Bouida et al, 2018).…”

Section: Resultsmentioning

confidence: 99%

“…where β is a material constant and r is the coordinate by which the material property changes along the notch radius (r-FGM) (Bouchikhi et al, 2019;Bouida et al, 2018). E is the Young modulus; E 1 the Young modulus at r ¼ R, E 1 and E 2 the Young modulus for ceramic and metal, respectively.…”

Section: Finite Element Analysismentioning

confidence: 99%

Numerical investigation of fracture in double-edge notched FGM plates under tension load

Bouchikhi¹

2019

IJSI

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Purpose The purpose of this paper is to introduce a numerical investigation used to calculate the J-integral of the main crack behavior emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions in (TiB/Ti) functionally graded material (FGM) plate subjected to tensile mechanical load. Design/methodology/approach For this purpose the variations of the material properties are applied at the integration points and at the nodes by implementing a subroutine USDFLD in the ABAQUS software. The variation of the J-integral according to the position, the length and the angle of rotation of cracks is demonstrated. The variation of the J-integral according to the position, the length and the angle of rotation of cracks is examined; also the effect of different parameters for double notch FGM plate is investigated as well as the effect of band of FGM within the ceramic plate to reduce J-integral. Findings According to the numerical analysis, all parameters above played an important role in determining the J-integral. Originality/value The present study consists in investigating the simulation used to calculate the J-integral of the main crack behavior emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions in (TiB/Ti) FGM plate under Mode I. The J-integral is determined for various load applied. The cracked plate is joined by bonding an FGM layer to TiB plate on its double side. The determination of the gain on J-integral by using FGM layer is highlighted. The calculation of J-integral of FGM’s involves the direction of the radius of the notch in order to reduce the J-integral.

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“…In the finite element method, mesh generation has a great influence on convergence and solution speed. The free triangulation grid provided by COMSOL multiphysics software (Kwan et al, 2019;Bouida et al, 2018) is adopted for the geotechnical slope. The whole grid consists of 11086 triangle cells, 431 edge cells, 41 top cells, 0.5314 minimum cell mass, 0.9844 average cell mass, 0.05057 cell area ratio, 6703m2 grid area, 2.247 maximum growth rate and 1.095 average growth rate.…”

Section: Establishment Of Numerical Model Of Rock and Soil Slopementioning

confidence: 99%

Finite Element Analysis Method of Slope Stability based on Fuzzy Statistics

Wang¹,

Lin²

2021

Earth sci. res. j.

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In order to reduce the risk of slope stability evaluation due to the fuzziness of calculation parameters, a finite element analysis method of slope stability based on fuzzy statistics is proposed. Based on the principle of quasi-static method and with the help of the finite element software COMSOL multiphysics, this paper studies the stability of the gravel soil accumulation rock slope under the action of different seismic acceleration. By analyzing the displacement, plastic zone and safety factor of the rock soil slope, the stability of the rock soil slope is analyzed. The research results show that the fuzziness of mechanical parameters of rock and soil slope will lead to the fuzziness of position displacement and stress analysis results of rock and soil slope, and the analysis of rock and soil slope with the method of fuzzy finite element analysis can strengthen the comprehensive understanding of position displacement, stress and safety of rock and soil slope by engineers and technicians, and reduce the stability of rock and soil slope due to the fuzziness of calculation parameters to a certain extent Evaluate the risk qualitatively.

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A Finite Element Analysis for Evaluation of J-Integral in Plates Made of Functionally Graded Materials with a Semicircular Notch

Cited by 7 publications

References 30 publications

Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading

Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading

Numerical investigation of fracture in double-edge notched FGM plates under tension load

Finite Element Analysis Method of Slope Stability based on Fuzzy Statistics

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