A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells

Trabelsi, S.; Frikha, Ahmed; Zghal, Souhir; Dammak, Fakhreddine

doi:10.1016/j.engstruct.2018.10.047

Cited by 123 publications

(23 citation statements)

References 89 publications

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“…22–30 For the sake of completeness, further works on static, dynamic, vibration, buckling, and post-buckling of FG plates and shells and its derivatives like FG-CNTRC using various theories can be found. 31–46 In order to analyze the size-dependent behavior of nano and micro beams and plates, several non-local theories are used by many researchers, in the last years, like the Eringen nonlocal continuum theory, the strain gradient elasticity, and the modified couple stress theory. For more details about these theories, one can refer to literature, 47–52 among others.…”

Section: Introductionmentioning

confidence: 99%

Vibrational behavior of beams made of functionally graded materials by using a mixed formulation

Zghal

Dammak

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper investigates the vibrational behavior of beams made of functionally graded materials using a mixed formulation. Unlike the other high order shear deformation theories (HSDTs), the proposed formulation is elaborated within a double field of displacements and stresses which offers the possibility of the development of low order linear elements with enhanced accuracy. As well as, the effect of the transverse shear strains and the zero condition of the transverse shear stresses on the top and bottom surfaces are verified. The material characteristics of the beams are described via a power law distribution in order to take into account the continuous variation of the volume fraction of its constituents along the thickness direction. Numerical simulations are conducted to show the influence of power law index, slenderness ratios, and boundary conditions on natural frequencies of functionally graded beams. Results demonstrate the efficiency and the applicability of the model based on a refined mixed formulation and its ability to predict the vibrational behavior of functionally graded beams with good accuracy.

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Section: Introductionmentioning

confidence: 99%

Vibrational behavior of beams made of functionally graded materials by using a mixed formulation

Zghal

Dammak

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Arefi et al [4] analyzed the static behavior of a FG-CNTRC cylindrical pressure vessels subjected to pressure and thermal loadings by using the FSDT theory. Recently, Trabelsi et al [63,64] investigated the thermal buckling and post-buckling of FG plates and shells using a modified FSDT theory. As can be remarked from this report of the open literature, most of the papers used the FSDT or HSDT theories to predict thermal buckling and post-buckling behavior of FGM structures.…”

Section: Introductionmentioning

confidence: 99%

Thermo-elastic buckling and post-buckling analysis of functionally graded thin plate and shell structures

Trabelsi

Zghal

Dammak

2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, we extend the Kirchhoff-Love model to thermal buckling and post-buckling analysis of functionally graded structures. The kernel idea of the proposed model consists of the consideration of large displacements and finite rotation to accurately model the thermal effects on buckling and post-buckling behavior of such structures. Both uniform and nonuniform temperature distributions are considered. Material properties of the FG structures are graded in the thickness direction and assumed to obey a power law distribution of the volume fraction of the constituents. The effectiveness and usefulness of the proposed model are highlighted through different numerical examples, and the effects of the volume fraction exponent, thermal loads, length-to-thickness ratio, boundary conditions and geometrical parameters on the buckling and post-buckling behavior of FGM structures are also examined.

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“…Trabelsi et al [19] explored the thermal postbuckling behavior of functionally graded plates and cylindrical shells using four-node element based on a modified first-order shear deformation theory. These authors continued using this approach to investigate the thermal buckling of functionally graded plates and cylindrical shells [20]. Chen et al [21] studied the buckling and bending behavior of a functionally graded porous plate, with the formulations based on the first-order shear theory and the Chebyshev–Ritz method.…”

Section: Introductionmentioning

confidence: 99%

Research on the Buckling Behavior of Functionally Graded Plates with Stiffeners Based on the Third-Order Shear Deformation Theory

et al. 2019

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This paper presents a finite element formulation to study the mechanical buckling of stiffened functionally graded material (FGM) plates. The approach is based on a third-order shear deformation theory (TSDT) introduced by Guangyu Shi. The material properties of the plate were assumed to be varied in the thickness direction by a power law distribution, but the material of the stiffener was the same as that of the one of the bottom surface where the stiffener was placed. A parametric study was carried out to highlight the effect of material distribution, the thickness-to-width ratio, and stiffener parameters on the buckling characteristics of the stiffened FGM plates. Numerical results showed that the addition of stiffener to the FGM plate could significantly reduce the weight of the FGM plate but that both the FGM plates with and without stiffener had equally high strength in the same boundary condition and compression loading.

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A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells

Cited by 123 publications

References 89 publications

Vibrational behavior of beams made of functionally graded materials by using a mixed formulation

Vibrational behavior of beams made of functionally graded materials by using a mixed formulation

Thermo-elastic buckling and post-buckling analysis of functionally graded thin plate and shell structures

Research on the Buckling Behavior of Functionally Graded Plates with Stiffeners Based on the Third-Order Shear Deformation Theory

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