A new higher order shear deformation theory for static, vibration and buckling responses of laminated plates with the isogeometric analysis

Shi, Peng; Dong, C.Y.; Sun, Fenglian; Liu, Wenfu; Qian-kun, HU

doi:10.1016/j.compstruct.2018.07.080

Cited by 71 publications

(26 citation statements)

References 111 publications

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“…Javed 241 used composite laminated conical shells for the free vibration characteristic calculations based on HSDLT. Shi et al 242 invented a new higher order theory of SD known as hyperbolic tangent higher order SD theory. This theory analyzes the natural frequency and buckling analysis based on NURBS of laminated composite plates.…”

Section: Equivalent Single-layer Theoriesmentioning

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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Section: Equivalent Single-layer Theoriesmentioning

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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“…The results of the calculations, i.e. the values of the exponent k s of the deformation function ( 17), the shear coefficient C s (22), and the dimensionless maximum deflectionv max (21), for nine selected beams of relative length λ = 10 and Poisson's ratio ν = 0.3, are specified in Tables 1, 2, and 3.…”

Section: Analytical Study Of Bending Of the Beams With Symmetrically Varying Mechanical Propertiesmentioning

confidence: 99%

“…The results obtained with the use of the finite element method confirmed good effectiveness of both proposed theories. Shi et al [21] formulated a new shear deformation theory applicable for free vibration and buckling analysis of laminated composite plates. The theory ensures disappearance of the shear stresses at the surfaces of the plates.…”

Section: Introductionmentioning

confidence: 99%

An improved shear deformation theory for bending beams with symmetrically varying mechanical properties in the depth direction

2020

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The paper is devoted to simply supported beams under three-point bending. Their mechanical properties symmetrically vary in the depth direction. The individual shear deformation theory for beams of such features is proposed. Based on the principle of stationary total potential energy the differential equations of equilibrium are obtained. The system of the equations is analytically solved, and the shear coefficients and deflections of example beams are calculated. The solution is compared with other analytical results obtained with the use of another deformation function. Moreover, the bending problem of these beams is also numerically studied using the finite element method. Results of analytical and numerical studies are presented in Figures and Tables.

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“…The achievements of the last decade in the shear deformation theory of thin-walled structures have been discussed in review articles [ 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 ], among others.…”

Section: Introductionmentioning

confidence: 99%

Some Inconsistencies in the Nonlinear Buckling Plate Theories—FSDT, S-FSDT, HSDT

Kołakowski

Jankowski

2021

Materials

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Bending and membrane components of transverse forces in a fixed square isotropic plate under simultaneous compression and transverse loading were established within the first-order shear deformation theory (FSDT), the simple first-order shear deformation theory (S-FSDT), and the classical plate theory (CPT). Special attention was drawn to the fact that bending components were accompanied by transverse deformations, whereas membrane components were not, i.e., the plate was transversely perfectly rigid. In the FSDT and the S-FSDT, double assumptions concerning transverse deformations in the plate hold. A new formulation of the differential equation of equilibrium with respect to the transverse direction of the plate, using a variational approach, was proposed. For nonlinear problems in the mechanics of thin-walled plates, a range where membrane components should be considered in total transverse forces was determined. It is of particular significance as far as modern composite structures are concerned.

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A new higher order shear deformation theory for static, vibration and buckling responses of laminated plates with the isogeometric analysis

Cited by 71 publications

References 111 publications

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

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

An improved shear deformation theory for bending beams with symmetrically varying mechanical properties in the depth direction

Some Inconsistencies in the Nonlinear Buckling Plate Theories—FSDT, S-FSDT, HSDT

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