Thermal Buckling of Symmetric Angle-ply Laminated Plates

Tauchert, Theodore R.; Huang, Nan‐Nong

doi:10.1007/978-94-009-3455-9_33

Cited by 25 publications

(16 citation statements)

References 2 publications

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“…The effects of various parameters on the thermal buckling are examined. The thermal buckling of symmetric angle-ply laminated plates subjected to a uniform temperature rise was analyzed by Tauchert and Huang [5] on the basis of the classical Kirchhoff assumption. Rayleigh-Ritz method was employed to determine the prebuckled deformation state and the critical buckling temperature.…”

Section: Introductionmentioning

confidence: 99%

Thermal buckling of cross-ply laminated composite beams

Khdeir

2001

Acta Mechanica

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Summary. Thermal buckling of thick, moderately thick and thin cross-ply laminated beams subjected to uniform temperature distribution are analyzed. Exact analytical solutions of refined beam theories are developed to obtain the critical buckling temperature of cross-ply beams with various boundary conditions. The state space concept in conjunction with Jordan canonical form will be used to solve exactly the governing equations of the thermal buckling problems. The effects of length to thickness ratio, modulus ratio, thermal expansion coefficients ratio, various boundary conditions and number of layers on the critical buckling temperature are investigated.

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Section: Introductionmentioning

confidence: 99%

Thermal buckling of cross-ply laminated composite beams

Khdeir

2001

Acta Mechanica

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“…Extensive investigations on the thermal bending and post-buckling of isotropic and composite plates and shells were carried out by Tauchert and Huang (1987); Tauchert (1991); Meyers and Hyer (1991) and Leissa (1992), etc. Wu and his colleagues also have established a number of 3D solutions of thermoelastic, dynamic and buckling problems of laminated composite doubly curved and conical shells (Wu et al, 1996a(Wu et al, , 1996bChiu, 2001, 2002) …”

Section: Three-dimensional Elasticity Theorymentioning

confidence: 99%

Review of Functionally Graded Structure

Shambharkar¹

2017

Icsesd-2017

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“…(3)(4)(5)(6)] satisfy all of the fundamental equations of the three-dimensional nonlinear theory of elasticity within each layer, the equilibrium and continuity conditions at the interfaces between layers, and the stress-free boundary conditions at the top and bottom surfaces of the plate. 15 All of the prebuckling stresses Through-the-thickness displacement assumptions…”

Section: Prebuckling Displacements and Stressesmentioning

confidence: 99%

Accuracy of critical-temperature sensitivity coefficients predicted by multilayered composite plate theories

Noor

Burton

1992

AIAA Journal

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An assessment is made of the accuracy of the critical-temperature sensitivity coefficients of multilayered plates predicted by different modeling approaches, based on two-dimensional shear-deformation theories. The sensitivity coefficients considered measure the sensitivity of the critical temperatures to variations in different lamination and material parameters of the plate. The standard of comparison is taken to be the sensitivity coefficients obtained by the three-dimensional theory of thermoelasticity. Numerical studies are presented showing the effects of variation in the geometric and lamination parameters of the plate on the accuracy of both the sensitivity coefficients and the critical temperatures predicted by the different modeling approaches.[K 2 ] m, n NL sft, s TOW 7 07 t u (i,j = 1,2, 3) tf?3, U&, t/13, 1/23 Nomenclature = material and lamination parameters of the plate = elastic moduli in the direction of fibers and normal to it = shear moduli in the plane of fibers and the plane normal to it = total thickness of the plate = distances from the bottom and top surfaces of the kih layer to the middle plane of the plate (see Fig. 1) = parameters identifying the numbers of displacement and strain components [see Eqs. (19), (20), and (23)] = linear stiffness matrix of the plate [see Eqs. (33)] = components of the matrix [K 0 ] [see Eqs. (A.5)] = matrices of initial stresses and initial displacements [see Eqs. (33)] = initial and corrected values of the composite shear correction factors = side lengths of the plate = Fourier harmonics in the x\ and x 2 directions = total number of layers of the plate = stress resultants [see Eqs. (25)] = critical value of T°= uniform temperature change = initial (prebuckling) stress resultants [see Eqs. (25)] = stress components [see Eqs. (10)] = transverse shear strain energy densities obtained from the first-order shear deformation theory and the three-dimensional equations, respectively (see Appendix A) OiT e u» e u y* 2T703, 7733 VLT, \ = 7T 2283 (4 y = l,2, 3) T 23 d, d 2 a/ Subscripts ft y, P 47 • • initial (prebuckling) and total displacements in the x a coordinate directions [see Eqs. (7)] = perturbation displacement componentsin the x a and x 3 directions, respectively [see Eqs. (7) and (8)] = perturbation displacement expansion parameters [see Eqs. (19) and (20)] = initial (prebuckling) and total transverse displacements [see Eqs. (8)] : vector of displacement parameters of the plate associated with the pair of harmonics (m, n); see Eqs. (33) Cartesian coordinate system = normalization factor for the coefficients of thermal expansion : coefficients of thermal expansion of the individual layers in the direction of fibers and normal to it, respectively = infinitesimal = total and initial strain components [see Eqs. (9)] = in-plane, transverse shear, and transverse normal strains of the plate [see Eqs. (13-15)] : strain expansion parameters [see Eqs.(21-23)] : fiber orientation angle : Poisson's ratios for the material of the individual layers = critical temperatu...

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Thermal Buckling of Symmetric Angle-ply Laminated Plates

Cited by 25 publications

References 2 publications

Thermal buckling of cross-ply laminated composite beams

Thermal buckling of cross-ply laminated composite beams

Review of Functionally Graded Structure

Accuracy of critical-temperature sensitivity coefficients predicted by multilayered composite plate theories

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