Thermal buckling of functionally graded skew and trapezoidal plates with different boundary conditions using the element-free Galerkin method

Jaberzadeh, E.; Azhari, Mojtaba; Boroomand, B.

doi:10.1016/j.euromechsol.2013.03.006

Cited by 37 publications

(14 citation statements)

References 39 publications

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“…The buckling and postbuckling response of thin plates and thin-walled structures with flat walls, under static and dynamic loading was studied by Kubiak (2013) [41]. The thermal buckling analysis of FGM plate by applying the classic plate theory and first-order shear deformation plate theory were studied by Jaberzadeh et al [42] and Zhang et al [43].…”

Section: Introductionmentioning

confidence: 98%

“…Extensive researches have been undertaken on the static and dynamic buckling behavior of structures under various boundary and loading conditions . Static buckling analysis and dynamic buckling analysis were investigated on various structures such as beams [1][2][3][4][5][6][7], columns [8][9][10][11][12][13][14][15], shells [16][17][18][19][20][21][22][23][24][25][26] and plates [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Dynamic buckling of suddenly loaded plates has been studied by scientists in recent decades.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear dynamic buckling of imperfect rectangular plates with different boundary conditions subjected to various pulse functions using the Galerkin method

Azarboni

Darvizeh

et al. 2015

Thin-Walled Structures

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic buckling of imperfect rectangular plates with different boundary conditions subjected to various pulse functions using the Galerkin method

Azarboni

Darvizeh

et al. 2015

Thin-Walled Structures

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“…Solving Eq. using the Galerkin method (Jaberzadeh et al, ; Tinh and Minh, ), one can obtain the following governing equations:

((), \begin{array}{c} center & B_{1} + k_{φ} T - σ_{1} N_{1} & Q \\ center & F & H_{1} bold+ k_{x} R - σ_{1} S_{1} \end{array}) ((), \begin{array}{c} center & c \\ center & d \end{array}) = 0

where

B_{1} = \frac{G J π^{2}}{2 λ h_{w}^{2}}

;

N_{1} = \frac{A_{f} r_{0}^{2} π^{2}}{2 λ h_{w}^{2}}

;

S_{1} = \frac{A_{f} π^{2}}{2 λ}

;

H_{1} = \frac{E I_{y} β^{2} λ}{2}

;

F = \frac{3 D_{w} λ}{h_{w}^{3}} - D_{w} \frac{((), 2 - μ) λ β}{2 h_{w}}

;

Q = 3 \frac{D_{w} λ}{h_{w}^{3}} + \frac{D_{w} μ λ β}{2 h_{w}}

;…”

Section: Revisiting Modified Elastic Foundation Beam Approachmentioning

confidence: 99%

Practical formulas towards distortional buckling failure analysis for steel–concrete composite beams

Zhou

Yan

2016

Structural Design Tall Build

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As the most predominant type of failure for steel-concrete composite beams (SCCBs) in negative moment area, distortional buckling is significantly impacted by the interaction effect between the applied loading and the torsional-lateral restraint stiffness of the bottom flange, which is termed as loading-restraint interaction here for short. Recently, a modified elastic foundation beam method capable of considering the interaction effect properly was proposed to calculate critical buckling moment for SCCBs under negative uniform moment. As a sequel to such development, a functional relationship between two dimensionless auxiliary parameters (i.e. equivalent slenderness ratio and equivalent moment coefficient) is discovered in this study. On the basis of the close association between the pair of dimensionless parameters, empirical formulas are derived in a remarkably simply explicit form to evaluate the critical buckling moment for SCCBs under negative uniform moment or moment gradient. These formulas are simple, user-friendly and of practical use. Compared with conventional approaches without considering the loading-restraint interaction effect, the practical approach developed in this paper can achieve higher accuracy and is more easyimplemented. The study lays a foundation for determining the ultimate bearing capacity of SCCBs considering moment gradient effect rapidly.

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“…Although there are many researches conducted on thermal buckling and post-buckling of FGM plates, the number of studies related to this subject for FGM skew plates and notably for curved panels is rather limited. The thermal and mechanical buckling and post-buckling responses of skew plates using finite element procedure were obtained by Prabhu and Durvasula [52], Ganapathi and Prakash [30], Ganapathi et al [31], Prakash et al [53] and Jaberzadeh et al [35]. Thermal buckling of cylindrical panels has been studied by Bhagat et al [8], Bhagat and Jeyaraj [7].…”

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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Thermal buckling of functionally graded skew and trapezoidal plates with different boundary conditions using the element-free Galerkin method

Cited by 37 publications

References 39 publications

Nonlinear dynamic buckling of imperfect rectangular plates with different boundary conditions subjected to various pulse functions using the Galerkin method

Nonlinear dynamic buckling of imperfect rectangular plates with different boundary conditions subjected to various pulse functions using the Galerkin method

Practical formulas towards distortional buckling failure analysis for steel–concrete composite beams

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

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