A unified formulation of laminated composite, shear deformable, five-degrees-of-freedom cylindrical shell theories

Soldatos, Kostas P.; Timarci, Taner

doi:10.1016/0263-8223(93)90162-j

Cited by 163 publications

(66 citation statements)

References 22 publications

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“…Upon denoting U, V and W as the displacement fields in x-, y-and z-axis respectively and assuming that the displacement along y-axis is zero, the displacement fields are assumed in parallel with the general shear deformation shell theory introduced by Soldatos and Timarci [12], (1) where: u, u 1 and w are three unknown displacement functions of the middle surface of the beam and subscript "," denotes the differentiation with relevant axis. Ø(z) represents the shape function that determines the distribution of the transverse shear stress and strain.…”

Section: Theory and Formulationmentioning

confidence: 99%

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Wave Propagation Characteristics in Functionally Graded Double-Beams

Karacam

Aydoğdu

2017

Adv. Sci. Technol. Res. J.

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The wave propagation characteristics of functionally graded (FG) double-beams are investigated by use of Euler-Bernoulli beam theory. Two beams are connected by a Winkler foundation. The wave propagation characteristics like frequency, phase and group velocities are obtained for different wave numbers and material properties. Four frequencies are obtained for functionally graded double-beam system. It is obtained that flexural and axial waves are coupled for FG double-beams.

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Section: Theory and Formulationmentioning

confidence: 99%

“…For the wave propagation analysis, the displacement functions are considered as: (12) A j and B j are the amplitudes of wave motion, k is the wave number and ω is the frequency. The equations of motion can be rewritten by the use of displacement functions depending on frequencies and wave number as,…”

Section: Theory and Formulationmentioning

confidence: 99%

Wave Propagation Characteristics in Functionally Graded Double-Beams

Karacam

Aydoğdu

2017

Adv. Sci. Technol. Res. J.

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“…For example, [Soldatos and Timarci 1993;Timarci and Aydogdu 2005] employed higher-order theories based on polynomial, trigonometric, hyperbolic, and exponential expansions of in-plane displacements through the thickness and compared their relative accuracy in stress and buckling analyses of plates and shells. Shu and Sun [1994] introduced a third-order shear deformation theory that satisfies continuity of in-plane 1 4 were compared against the exact elasticity solutions, CLPT and FSDT.…”

Section: Introductionmentioning

confidence: 99%

Stress and buckling analyses of laminates with a cutout using a {3,0}-plate theory

Barut

Madenci

Nemeth

2011

J. Mech. Mater. Struct.

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A semianalytical solution method to predict stress field and structural bifurcation in laminates having a cutout by employing a simple {3, 0}-plate theory is presented. The stress analysis includes both inplane and bending stress fields. In this theory, the in-plane and out-of-plane displacement fields are respectively assumed in the forms of cubic and uniform through-the-thickness expansions. The cubic expansion ensures the correct behavior of transverse shear deformations while satisfying the condition of zero transverse shear stresses at the laminate faces. The equations of equilibrium for the stress and buckling analysis are derived based on the principle of stationary potential energy. Comparison against the classical laminate and {1, 2}-plate theories proves this semianalytical method credible.

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“…It was only in the 1990s that the original theory was re-obtained as can be found, among others, in the works of Cho and Parmerter, 27 Beakou and Touratier 28 and Soldatos and Timarci. 29 Regarding the second independent contribution, it was given by Reissner in 1980s, 30 who proposed a mixed variational theorem that allows both displacements and stress assumptions to be made. Significant contributions to the theory proposed by Reissner were made by Murakami 31 that introduced a zig-zag form of displacement field and Carrera 32 that presented a systematic generalized manner of using the Reissner mixed variational principle to develop FE applications of ESL theories and LWT of plates and shells.…”

Section: Introductionmentioning

confidence: 99%