Displacements and stresses in pressurized thick-walled FGM cylinders: Exact and numerical solutions

Benslimane, Abdelhakim; Bouzidi, Safia; Methia, Mounir

doi:10.1016/j.ijpvp.2018.10.019

Cited by 34 publications

(25 citation statements)

References 11 publications

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“…The variation of the elastic modulus is also greatest for the FGM‐3 material pair, Table 1, Figure 4. It follows that the large change in the modulus of elasticity has a major influence on the distribution of stress in the functionally graded material cylinder in accordance with previous research [33]. The radial displacement for the FGM‐2 and FGM‐3 material pairs varies greatly through the thickness at the pressurized side, Figure 5b.…”

Section: Resultssupporting

confidence: 89%

“…While the smallest radial displacements are obtained for FGM‐3 under combined loading conditions, FGM‐1 gives a minimum displacement for pure rotation. In absence of internal and external pressure, the mean elasticity modulus to density ratio determines the displacement behavior, due to centrifugal forces [33, 34]. A suitable choice of material pairs can lower the maximum stress and strain and raise the vessel's loading capacity.…”

Section: Resultsmentioning

confidence: 99%

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Exact elasticity solutions to rotating pressurized axisymmetric vessels made of functionally graded materials (FGM)

Kaçar

2020

Materialwissenschaft Werkst

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In this study the plane elasticity equations of pressurized and rotating structures, generalized analytical closed-form solutions are presented for hollow cylinders, spheres and thin disks. Three well known material pairs are graded in radial direction by using the power rule for various boundary and load conditions. Stress and displacement solutions are obtained. The effect of a constant rotational velocity is also investigated separately in absence of the internal and external pressures. Crucial results are also presented in tabular form. Keywords: Functionally graded material / elastic analysis / power rule / pressurized vessel / stress and displacement In dieser Studie werden die ebenen Elastizitätsgleichungen von unter Druck stehenden dickwandigen rotierenden zylindrischen und kugelförmigen Gefäßen und dünnen Scheiben analytisch gelöst. Der funktional gradierte Werkstoff wird in radialer Richtung gradiert und die Einstufung variiert gemäß der Machtregel. Geschlossene Lösungen, sowohl der Radial-, als auch der Umfangsspannungen und der Radialverschiebungen, werden in der für Wissenschaftler, Designer und Ingenieure am besten geeigneten Form erhalten. Unter Berücksichtigung von drei verschiedenen Metall-Keramik-Paaren und zwei verschiedenen Randbedingungen werden die Ergebnisse der Lösungen in geschlossener Form für die rotierende Struktur grafisch dargestellt, während, sowohl der innere, als auch der äußere Druck, gleichzeitig angewendet werden. Der Effekt einer konstanten Rotationsgeschwindigkeit wird auch ohne internen und externen Druck getrennt untersucht. Entscheidende Ergebnisse werden in tabellarischer Form dargestellt.

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Section: Resultssupporting

confidence: 89%

Section: Resultsmentioning

confidence: 99%

Exact elasticity solutions to rotating pressurized axisymmetric vessels made of functionally graded materials (FGM)

Kaçar

2020

Materialwissenschaft Werkst

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“…Moreover, the inhomogeneity of composites has been considered in many stress analysis problems. [28][29][30][31][32][33] The above research results of these scholars present inspiring application of FGMs and provide corresponding analytical methods of contact problems, but the analytical process is rather complicated and not well adapted to this study. Besides, there is little research on the in-plane gradient distribution.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the inhomogeneity of composites has been considered in many stress analysis problems. [ 28–33 ]…”

Section: Introductionmentioning

confidence: 99%

Contact stress prediction model of double‐layer elastomer with functionally graded and composite structure

et al. 2021

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As hard and brittle materials are widely used in the modern industry, it is essential to effectively achieve uniform material removal. In the present study, a contact stress prediction model for double-layer elastomer under uniform displacement load was proposed. It aims to predict the contact stress distribution based on the structure size and material parameters of the double-layer elastomer and optimize the relevant parameters to improve the uniformity of material removal. The functionally graded and composite structured lapping and polishing plate (FG/CS-LPP) was developed by mixing abrasive particles and rubber with different mass ratios to get different Young's moduli. Through optical microscope, the surface morphology was observed, and the mechanism of Young's modulus gradient change was demonstrated. After numerical simulation analysis, the effect of Young's modulus fluctuation on contact stress distribution trend was evaluated. As for the contact stress prediction model, an equivalent Young's modulus model and compensation function H(z) was introduced to simplify the analytical process. Further, the obtained equivalent equation was verified by simulations and experiments with an average percentage deviation of~2% and~6%, respectively. By fitting calculated and simulated values with a deviation of less than 5%, the compensation function H(z) was established. Finally, the contact stress prediction model was obtained and validated by simulations and experiments, the percentage deviation is less than 13%. Accordingly, the contact stress prediction model can provide a theoretical basis for FG/CS-LPP to achieve uniform material removal.

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“…These solutions are used to discover more physical, dynamical behaviour, and the nature of non-linear problems and explain the different scientific non-linear phenomena. For achieving to this fundamental goal, many computational and numerical schemes have been being formulated such as the improved and novel expansion method [1][2][3], extended simplest equation method [4][5][6][7], first integral method [8,9], Khater method which is derived by Khater in 2017 [10][11][12][13], the exp -expansion method [14,15], the Kudryashov method [16], the Jacobi elliptic functions [17,18], the modified Khater method, [19][20][21][22], the generalized Kudryashov method [23,24], the new extended direct algebraic method [25], the functional variable method [26], Adomian decomposition method [27][28][29], and the sub equation method [30].…”

Section: Introductionmentioning

confidence: 99%

New optical explicit plethora of the resonant Schrodinger’s equation via two recent computational schemes

et al. 2020

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This research paper investigates the computational solutions of the resonant Schr?dinger?s equation. The modified Khater method and Adomian decomposition method are applyied for construct new analytical traveling and semi-analytical wave solutions. This model describes the pulse phenomena and studied in non-linear optics. For further illustration of our obtained solutions, some distinct types of sketches are given.

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Displacements and stresses in pressurized thick-walled FGM cylinders: Exact and numerical solutions

Cited by 34 publications

References 11 publications

Exact elasticity solutions to rotating pressurized axisymmetric vessels made of functionally graded materials (FGM)

Exact elasticity solutions to rotating pressurized axisymmetric vessels made of functionally graded materials (FGM)

Contact stress prediction model of double‐layer elastomer with functionally graded and composite structure

New optical explicit plethora of the resonant Schrodinger’s equation via two recent computational schemes

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