Mixed Finite Element for the Analysis of FGM Beams

Benmalek, Haroune; Bouziane, Salah; Bouzerd, Hamoudi

doi:10.15866/ireme.v15i1.19680

Cited by 4 publications

(4 citation statements)

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“…Also the study of Mohamed Ben Ali et al [37] on sandwich structures with two cases of symmetrical double cantilever beam and asymmetrical double cantilever beam. For the work of Benmalek et al [38], the exactitude of the results was highly remarkable.…”

Section: Introductionmentioning

confidence: 94%

Mixed Finite Element Computation of Energy Release Rate in Anisotropic Materials Based on Virtual Crack Closure-Integral Method

Derouiche

Bouziane

Bouzerd

2021

Frattura Ed Integrità Strutturale

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The material with anisotropic properties are becoming widely essential due to the ease to manipulate their mechanical properties in order to obtain a particular quality, insure safety or a specific behavior. Those kind of materials are considered anisotropic because their characteristics and behavior are dependent to every direction of the material’s orientation. In this work, the virtual crack closure-integral technique is implemented to a mixed finite element, in addition with the stiffness derivative procedure, to evaluate the energy release rate of crack extension in anisotropic materials. A simulation of a cracked edge rectangular plat with anisotropic characteristics is taken for example. The results obtained are in good agreement with the analytical results, making the proposed technique a good model for fracture investigation and allow it to study more complicated cases in future works.

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Section: Introductionmentioning

confidence: 94%

Mixed Finite Element Computation of Energy Release Rate in Anisotropic Materials Based on Virtual Crack Closure-Integral Method

Derouiche

Bouziane

Bouzerd

2021

Frattura Ed Integrità Strutturale

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“…Each layer comprises multiple homogeneous elements with constant material properties, and their characteristics correspond to the centre of each element. This technique was used recently by (Benmalek et al, 2021) in the analysis Fgm beam bending (see Figure .5) and coupled to the virtual crack extension technique (Bouzerd et al, 2011) to compute the energy release rate of crack extension in functionally graded material. (Marur & Tippur, 1998) utilized a gravity-assisted casting technique to produce Fgm specimens using two-part slow-curing epoxy and uncoated solid glass sphere fillers.…”

Section: Crack Simulation In Fgmmentioning

confidence: 99%

Mixed Finite Element for Crack Analysis in Functionally Graded Material

Benmalek,

Bouziane,

Bouzerd

et al. 2023

IJSCET

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This study presents a mixed finite element formulated using isoparametric techniques and extended to analyze quasi-static crack propagation in functionally graded materials. The mixed mode is analyzed for homogeneous and functionally graded beamssubjected to three-point bending and for homogeneous and functionally graded plates under uniform axial tension. The mixed finite element results are compared with previous experimental and numerical results published in the literature.

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“…Meanwhile, the studies above by Rahmani et al [13], Benmalek et al [14], and Salehi et al [15] contribute valuable insights into the bending behaviour of functionally graded beams. They exhibit certain deficiencies that create opportunities for further exploration and improvement.…”

Section: Introductionmentioning

confidence: 99%

“…Rahmani et al's [13] work focuses on porous functionally graded beams but lacks a comprehensive exploration of the mixed finite element method, leaving room for advancements in numerical techniques. Benmalek et al [14] introduce a mixed finite element method but do not explicitly address the adaptability of their approach to varying material properties in complex geometries. While considering transient thermal and mechanical stresses, Salehi et al's [15] investigation into functionally graded beams in cylindrical form falls short in highlighting the method's versatility in handling diverse material property distributions.…”

Section: Introductionmentioning

confidence: 99%

Innovative mixed finite element method for bending analysis of functionally graded beams: modelling, validation, and applications

Benmalek,

Bouziane,

Bouzerd

et al. 2024

Eng. Res. Express

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In this research, we consider solutions for the Euler-Bernoulli theory (CBT) and the theory of Timoshenko (TBT). It presents an innovative mixed finite element method tailored for analysing beams with functionally graded properties, focusing on their behaviour under bending loads. The method employs an isoparametric formulation in natural coordinates, enabling precise modelling of complex geometries common in structural engineering and materials science. A significant contribution is extending the mixed finite element approach to assess the bending behaviour of functionally graded beams. Hence, it is vital to understand material responses to external forces. To illustrate its effectiveness and versatility, we provide two numerical examples involving cantilever and simply-supported isotropic beams with property variations along the material's thickness, following power-law distributions.Additionally, a third example features a cantilever made from isotropic functionally graded material with quadratic property changes through the thickness. The method's robustness and credibility are established through rigorous validation against numerical and analytical solutions found in existing literature. This validation confirms the accuracy and reliability of the mixed finite element method for assessing functionally graded materials under bending conditions, enhancing its utility in structural analysis. This research introduces a potent numerical tool for investigating the behaviour of functionally graded materials subjected to bending, providing valuable implications for engineering and materials science applications.

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Mixed Finite Element for the Analysis of FGM Beams

Cited by 4 publications

References 0 publications

Mixed Finite Element Computation of Energy Release Rate in Anisotropic Materials Based on Virtual Crack Closure-Integral Method

Mixed Finite Element Computation of Energy Release Rate in Anisotropic Materials Based on Virtual Crack Closure-Integral Method

Mixed Finite Element for Crack Analysis in Functionally Graded Material

Innovative mixed finite element method for bending analysis of functionally graded beams: modelling, validation, and applications

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