Buckling of symmetric cross-ply square plates with various boundary conditions

Timarci, Taner; Aydoğdu, Metin

doi:10.1016/j.compstruct.2004.04.003

Cited by 24 publications

(8 citation statements)

References 19 publications

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“…The function (z) is selected to satisfy the traction-free boundary conditions on shear stresses at the outer, bounding surfaces of a laminate and to satisfy the conditions U x (x, y, 0) = u x (x, y) and U y (x, y, 0) = u y (x, y). As noted in [Timarci and Aydogdu 2005], the choice of (z) is not unique. In the present study, (z) is specified as a cubic through-the-thickness distribution, which is one of the special cases examined by Timarci and Aydogdu.…”

Section: Overview Of the {3 0}-plate Theorymentioning

confidence: 99%

“…The nonlinear plate theory used in the present study is based on the kinematic equations presented in [Sun and Hsu 1990] and is a special case of the formulation presented in [Soldatos and Timarci 1993;Timarci and Aydogdu 2005]. In particular, the in-plane and transverse displacement fields of a material point (x, y, z) are expressed in Cartesian coordinates (see Figure 1 on page 832) as…”

Section: Overview Of the {3 0}-plate Theorymentioning

confidence: 99%

“…Recently, Ray [2003] extended the zeroth-order shear deformation theory (ZSDT) of Shimpi [1999] to perform vibration analysis of simply supported laminated composites. It can be shown that the ZSDT of Shimpi and Ray is a special case of the form introduced in [Timarci and Aydogdu 2005]. The present study employs the kinematics of Shimpi's ZSDT because of its accuracy and simplicity in predicting the responses of laminated plates [Ray 2003].…”

Section: Introductionmentioning

confidence: 99%

“…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 displacements and transverse shear stresses between adjacent layers.…”

Section: Introductionmentioning

confidence: 99%

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2011

J. Mech. Mater. Struct.

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SILVIO LEVY Scientific EditorWe investigate the propagation of interfacial surface waves in a composite consisting of homogeneous isotropic semiconductor halfspace coated with a thin layer of homogeneous, transversely isotropic, piezoelectric material. The mathematical model of the problem consists of a coupled system of partial differential equations of motion, diffusion of electrons, and a Gauss equation along with the boundary conditions to be satisfied at the interface and free surface of the composite structure.The secular equation that governs the wave propagation at the interface has been obtained in compact form after solving the mathematical model analytically. The secular equations in the case of stressfree, isoconcentrated and stress-free, impermeable semiconductor halfspaces have also been deduced as special cases. The complex secular equation has been solved using the functional iteration method along with the irreducible Cardano's method via MATLAB programming for CdSe-Si, CdSe-Ge, PZT-Si and PZT-Ge composite structures.The computer-simulated results have been presented graphically in terms of phase velocity, attenuation coefficient, and specific loss factor of energy dissipation versus wave number and lifetime of charge carrier field in the considered structures. The work may be useful for the construction and design of surface acoustic wave devices.

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Section: Overview Of the {3 0}-plate Theorymentioning

confidence: 99%

Section: Overview Of the {3 0}-plate Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Untitled

2011

J. Mech. Mater. Struct.

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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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Simulation of Fiber Composites: An Assessment

Rohwer

2012

Adaptive, Tolerant and Efficient Composite Structures

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Buckling of symmetric cross-ply square plates with various boundary conditions

Cited by 24 publications

References 19 publications

Untitled

Untitled

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

Simulation of Fiber Composites: An Assessment

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