Exact Lévy-type solutions for bending of thick laminated orthotropic plates based on 3-D elasticity and shear deformation theories

Atashipour, Seyed Rasoul; Girhammar, Ulf Arne; Al‐Emrani, Mohammad

doi:10.1016/j.compstruct.2016.12.026

Cited by 15 publications

(10 citation statements)

References 47 publications

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“…As seen in Table 1, there are very good agreements between the predictions of present solution and the predictions of Pagano [2] and Atashipour et al. [34] for L / h = 2 to L / h = 100. The prediction of CLT for the in-plane stresses for large length to thickness ratio ( L / h = 100) is in good agreement with the prediction of present solution and the predictions of Pagano [2] and Khdeir and Reddy [41].…”

Section: Numerical Results and Discussionsupporting

confidence: 79%

“…In order to verify the accuracy of the method, the predictions of present method are compared with the predictions of exact elasticity solution of Pagano [2], and the solution of Vel and Batra [12] and Atashipour et al. [34]. Pagano [2] presented an exact elasticity solution for the orthotropic-laminated plate in which all edges are simply supported and subjected to transverse load.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Atashipour et al. [34] developed an elasticity solution for static bending of symmetric-laminated orthotropic plates.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…In Table 1, the predictions of the present method for square [0/90/0] simply supported- (SS-SS) laminated plate for various length to thickness ratios, L / h , are compared with the predictions of Pagano [2] and Atashipour et al. [34]. The plate is subjected to double sinusoidal distributed load q ( x , y ) = − q 0 sin(π x / L )sin(π y / W ) on the top surface at z = h /2.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Atashipour et al. [34] employed the combined Fourier-differential quadrature approach to develop an exact solution for the symmetric laminated cross-ply plates. Goodsell and Pipes [35] developed a family of unified analytical solutions for the analysis of free edge stresses in cross-ply and angle-ply long laminate subjected to uniaxial extension, uniform temperature change and anticlastic bending.…”

Section: Introductionmentioning

confidence: 99%

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Stress analysis in transverse loading of soft core sandwich plates with various boundary conditions

Ahmadi

2018

Jnl of Sandwich Structures & Materials

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In this paper, the transverse loading of sandwich plate is formulated to study the three-dimensional stress field in the sandwich plates for various edge conditions. The formulation is based on the weak formulation approach. A complete three-dimensional displacement field is considered and the weak formulation approach is employed to obtain the governing equations of the plate using the three dimensional equilibrium equations of elasticity. An analytical solution is presented for governing equations when two opposite edges of plate are simply supported. A one-step stress recovery scheme is used to compute the out-of-plane stresses in the sandwich plates. A comparison is made with the predictions of exact elasticity solutions in the open literature and very good agreements are achieved. The distribution of stresses is investigated for various boundary conditions and the log-linear procedure is employed to study the order of stress singularity at free and clamped edge of the plate. It is seen that the present approach accurately predicts the distribution of out-of-plane stresses and local concentration of stresses in the vicinity of free and clamped edges of sandwich structures.

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