A review of recent work on multilayered structures

Habip, L. M.

doi:10.1016/0020-7403(65)90014-7

Cited by 15 publications

(3 citation statements)

References 11 publications

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“…We believe that the different effects are related to the decrystallization process and are based on the location of the decrystallization generated with the NaOH treatment. We therefore tried to examine the process of decrystallization with NaOH treatment using the rule of mixtures [e.g., 15,16], a cell wall model, and a dual-phase model consisting of crystal and amorphous phases [e.g., 2, [17][18][19].…”

Section: Resultsmentioning

confidence: 99%

Difference in reduction properties between longitudinal dimension and elastic modulus of wood induced with aqueous NaOH treatment: modeling and analysis

Tanimoto¹,

Nakano

2015

J Wood Sci

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The dependence of the elastic modulus and the longitudinal contraction on the NaOH fractional concentration [NaOH], which differs from each other, was discussed based on a quantitative model analysis using the rule of mixtures, a cell wall model, and a dual-phase model consisting of crystal and amorphous phases. The elastic modulus was formulated as a function of the degree of crystallinity of the decrystallized microfibrils. The [NaOH] dependence of the calculated elastic modulus shows good agreement with the experimental results in that the [NaOH] dependence differs before and after at [NaOH] = 0.12. The model analysis illustrates that the reduction property of the elastic modulus is dependent on whether the amorphous region created with the treatment transverses the originally crystalline region of the microfibrils or not: the concentration is [NaOH] = 0.12. This is attributed to the difference in the reduction property between the elastic modulus and the dimensional changes along the longitudinal axis of a wood sample at [NaOH] \ 0.12.

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Section: Resultsmentioning

confidence: 99%

Difference in reduction properties between longitudinal dimension and elastic modulus of wood induced with aqueous NaOH treatment: modeling and analysis

Tanimoto¹,

Nakano

2015

J Wood Sci

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“…Thus, the warping of the transverse cross-section is automatically incorporated, and the limitations of the usual Kirchhoff hypothesis as well as the Reissner-Mindlin-type first-order shear deformable theories are completely eliminated. In expression (4), t denotes the time and wo the transverse displacement of a generic point (x, y ) on the mid-plane; 0, and 0, are the rotations of the normals to the mid-plane about y-and x-axis, respectively. The parameters 0: and 0: are the corresponding higher-order terms in the Taylor series expansion and are also defined at the mid-plane.…”

Section: Theoretical Formulationmentioning

confidence: 99%

Effect of cross‐sectional warping of anisotropic sandwich laminates due to dynamic loads using a refined theory and C° finite elements

Mallikarjuna

Kant

1992

Numerical Meth Engineering

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An attempt has been made to study the effect of cross-sectional warping in the symmetrically laminated anisotropic composite sandwich plates for transient loads. A higher-order shear deformation theory (HOST) is used in conjunction with the simple displacement based Co finite element method (FEM). As is well-known, the classical first-order theories hitherto considered were inadequate to describe the propagation of waves in the highly orthotropic sandwich laminates. The present theory, which is more accurate than the Reissner-Mindlin theory, is applied herein, for the evaluation of plate response to different types of dynamic loads. An explicit central difference scheme is employed for the integration of dynamic equations of equilibrium with a diagonalized mass matrix obtained by a special procedure applicable to quadrilateral isoparametric elements. The numerical results of the present investigation have been compared with the first-order shear deformation theory (FOST) and the differences between HOST and FOST are examined. The results presented here should be useful in obtaining better correlation between theory and experiment, and to numerical analysts in verifying their results.

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“…Literature review related to mechanics of structure of laminated plates, beams, and shells has been presented by Habip, 41 Bert and Egle, 42 Dong and Tso, 43 Grigolyuk and Kogan, 44 Bert and Francis, 45 Bert, 46 Reddy, 47–50 Reissner, 51 Kapania, 52 Noor and Burton, 53,54 Noor, 55 Mallikarjuna, T Kant, 56 Liu and Li, 57 Khandan and Noroozi, 58 Ghugal and Shimpi, 59 and Liew et al 60 The laminated composite based on structural analysis has been discussed by Teters, 61 Whitney, 62 Varadan and Bhaskar, 63 and Reddy. 64 In line with this, Srinivas and Rao, 65 Kapania and Raciti, 66 Noor and Burton, 67 Khdeir, 68 and Liew et al 69 developed the natural frequency of composite laminated plates.…”

Section: Introductionmentioning

confidence: 99%

Development and applications of shear deformation theories for laminated composite plates: An overview

Maji¹,

Mahato

2020

Journal of Thermoplastic Composite Materials

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This review, overviews the development and applications of shear deformation (SD) laminated composite plate theories. The present overview mainly focuses on theoretical models based on SD theories of laminated composite plates. This comprehensive review has been categorized with an equivalent single-layer laminate and layerwise laminate theories. An equivalent single-layer laminate theory includes classical laminated plate theory, first-order shear deformation laminated theory, second-order shear deformation laminated theory, third-order shear deformation laminated theory, parabolic shear deformation laminated theory, trigonometric shear deformation laminated theory, hyperbolic shear deformation laminated theory, and higher order shear deformation laminated theory. The layerwise laminate theories include discrete-layer theories and zig-zag theories. In addition, the 3D elasticity solutions theory, the mixed (hybrid) plate theories, unified theories, advanced shear deformation theories, and the recently developed smart composite are also reviewed.

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A review of recent work on multilayered structures

Cited by 15 publications

References 11 publications

Difference in reduction properties between longitudinal dimension and elastic modulus of wood induced with aqueous NaOH treatment: modeling and analysis

Difference in reduction properties between longitudinal dimension and elastic modulus of wood induced with aqueous NaOH treatment: modeling and analysis

Effect of cross‐sectional warping of anisotropic sandwich laminates due to dynamic loads using a refined theory and C° finite elements

Development and applications of shear deformation theories for laminated composite plates: An overview

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