On the Propagation of Flexural Waves in an Orthotropic Laminated Plate and Its Response to an Impulsive Load

Chow, T. S.

doi:10.1177/002199837100500302

Cited by 168 publications

(45 citation statements)

References 12 publications

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“…Note that a similar result is also available from independently derived expressions for the shear correction factor published by Chou [17] (symmetric only) and Whitney [18]. The approach to derivation of these expressions was also based on a comparison of the shear strain energies.…”

Section: Methods Based On the Comparison Of The Shear Strain Energiesmentioning

confidence: 82%

On the Choice of Shear Correction Factor in Sandwich Structures

Birman

Bert

2002

Jnl of Sandwich Structures & Materials

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The first-order shear deformation theory (FSDT) is a relatively simple tool that has been found to yield accurate results in the non-local problems of sandwich structures, such as buckling and free vibration. However, a key factor in practical application of the theory is determination of the transverse shear correction factor (K), which appears as a coefficient in the expression for the transverse shear stress resultant. The physical basis for this factor is that it is supposed to compensate for the FSDT assumption that the shear strain is uniform through the depth of the cross section. In the present paper, the philosophies and results of K determination for homogeneous rectangular cross sections are first reviewed, followed by a review and discussion for the case of sandwich structures. The analysis presented in the paper results in the conclusion that K should be taken equal to unity, as a first approximation, for both two-skin as well as for multi-skin sandwich structures.

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Section: Methods Based On the Comparison Of The Shear Strain Energiesmentioning

confidence: 82%

On the Choice of Shear Correction Factor in Sandwich Structures

Birman

Bert

2002

Jnl of Sandwich Structures & Materials

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“…On the other hand, the theory is different from many higher-order laminate theones [Whitney and Paçano (1970), Chow (1971), Whitney and Sun (1973). Lo et al (1977) and Reddy (1984,1989)] and the layenvise laminate theories [Robbins and Reddy (1993).…”

Section: Inextensibility Theory To Orthotropic Beamsmentioning

confidence: 91%

A New Test Method for Measuring the Longitudinal and Shear Moduli of Fiber Reinforced Composites

Jalali¹,

Taheri‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬

1999

Journal of Composite Materials

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A new test method for the simultaneous evaluation of the longitudinal and the shear moduli of fiber reinforced plastic composites (FRPC) is introduced. Under the proposed method, specimens with different span to depth ratios (Llh) are subjected to three-point bending. Therefore, we name the method the "Varying Span Method" (VSM). The method builds on the inherent low shear modulus characteristics of FRPC. This characteristic leads to a flexural modulus which is a function of LMh. Eliminating the effect of local deformation from the test results, the flexural modulus (beside the geometry of the specimen) is a function of the longitudinal and the through-the-thickness shear moduli. These moduli can be obtained from the results of at least two tests on specimens with different Llh. For this, two distinctly different theories are introduced. A special apparatus is used to eliminate the effect of local deformations. The factors that may affect the accuracy and efficiency of the results are investigated and discussed. The validity of the proposed method is demonstrated by theoretical and experimental evaluations. The moduli of graphite/epoxy and Kevlar/epoxy composites, as measured by VSM, are reported. The measured values were found to be in very good agreement with the values evaluated by other standard methods.

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“…Liew, Han, and Xiao (1996) used the differential quadrature method to examine the bending behavior of symmetric cross-ply laminates using the first-order theory. Khdeir and Reddy (1988) and Singh et al (1989) (Khdeir, 1988(Khdeir, , 1989 and for the forced vibration (Khdeir, 1995a) Whitney, 1974, 1976;Whitney and Sun, 1977;Dobyns, 1981), Laplace transform technique (Chou, 1971), spatially exact but temporally approximate (Newmark direct integration) (Bhimaraddi, 1987), and state variable approach (Khdeir and Reddy, 1988).…”

Section: Introductionmentioning

confidence: 99%

Free and Forced Vibration of Antisymmetric Angle-Ply Laminated Plate Strips in Cylindrical Bending

Khdeir

2001

Journal of Vibration and Control

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The dynamic behavior of antisymmetric angle-ply laminated plate strips in cylindrical bending is examined using the classical theory and the first-order shear deformation theory. Free vibration of the plate strip is explored, and accurate natural frequencies are determined for general boundary conditions. A generalized modal approach is presented to solve the dynamic response of antisymmetric angle-ply plate strips with arbitrary boundary conditions and for arbitrary loading. The exact analytical solutions obtained are illustrated numerically in a number of figures revealing the influences of the transverse shearing deformation, of the number of layers, of the ply angles, and of the character of boundary conditions in the fundamental frequencies and the dynamic response.

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On the Propagation of Flexural Waves in an Orthotropic Laminated Plate and Its Response to an Impulsive Load

Cited by 168 publications

References 12 publications

On the Choice of Shear Correction Factor in Sandwich Structures

On the Choice of Shear Correction Factor in Sandwich Structures

A New Test Method for Measuring the Longitudinal and Shear Moduli of Fiber Reinforced Composites

Free and Forced Vibration of Antisymmetric Angle-Ply Laminated Plate Strips in Cylindrical Bending

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