New Displacement Model for Accurate Prediction of Transverse Shear Stresses in Laminated and Sandwich Rectangular Plates

Sayyad, Atteshamuddin S.; Naik, Nitin S.

doi:10.1061/(asce)as.1943-5525.0001074

Cited by 8 publications

(4 citation statements)

References 37 publications

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“…Ghugal and Sayyad [13], and Sayyad and Ghugal [14] have developed a trigonometric shear deformation theory for the bending, buckling and free vibration analysis of laminated composite and sandwich plates. Recently, Sayyad and Naik [15] have developed a fifth order shear deformation theory considering the effects of transverse shear and normal deformation for the interlaminar stress analysis of laminated plates. Detailed discussions on these theories have been presented by Sayyad and Ghugal [16], Liew et al [17] and Qatu et al [18].…”

Section: Introductionmentioning

confidence: 99%

Assessment of refined higher order theories for the static and vibration analysis of laminated composite cylindrical shells

Sayyad

Ghugal²

2022

JMES

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In the present study, a generalized shell theory is presented and applied for the analysis of laminated composite cylindrical shells. A theoretical unification of the several refined shell theories is presented. The principle of work done is employed to derive five differential equations corresponding to five unknowns involved in the present generalized shell theory. Five differential equations are solved by an analytical procedure suggested by the Navier. The numerical results for simply supported laminated composite cylindrical shells are presented and compared with 3D elasticity solutions. Displacements, stresses and fundamental frequencies are obtained for isotropic, orthotropic, 00/900 and 00/900/00 laminated cylindrical shells. The numerical results are obtained for h/a=0.1, a/b=1 and different values of R/a ratio. Displacements and stresses of laminated cylindrical shells are estimated under sinusoidal transverse load. In the case of free vibration analysis, first five natural frequencies are presented. It is observed that refined theories predicts displacements and stresses in close agreement with 3D elasticity solutions whereas the FST and the CST underpredict the displacements and stresses. It is also observed that the CST overestimates the natural frequencies due to neglect of shear deformation effect.

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Section: Introductionmentioning

confidence: 99%

Assessment of refined higher order theories for the static and vibration analysis of laminated composite cylindrical shells

Sayyad

Ghugal²

2022

JMES

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“…Sayyad and Ghugal [37] have developed a unified formulation for the static and free vibration analysis of laminated composite plates and shells. Naik and Sayyad [38,39] and, Shinde and Sayyad [40,41] have developed a fifth-order shear and normal deformation theory for the static analysis of laminated composite plates/shells subjected to mechanical or thermal loadings. Monge et al [42] have presented bending analysis of doubly curved laminated shells using refined hybrid models based on Navier's technique.…”

Section: Introductionmentioning

confidence: 99%

A unified formulation of various shell theories for the analysis of laminated composite spherical shells

Sayyad

Ghugal²

2022

Vietnam J. Mech.

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This study investigates the static and free vibration responses of orthotropic laminated composite spherical shells using various refined shear deformation theories. Displacement-based refined shear deformation theories are presented herein for the analysis of laminated composite spherical shells via unified mathematical formulations. Equations of motion associated with the present theory are derived within the framework of Hamilton's principle. Analytical solutions for the static and free vibration problems of laminated spherical shells are obtained using Navier's technique for the simply supported boundary conditions. Few higher order and classical theories are recovered from the present unified formulation; however, many other theories can be recovered from the present unified formulation. The numerical results are obtained for symmetric as well as anti-symmetric laminated shells. The present results are compared with previously published results and 3-D elasticity solution. From the numerical results, it is concluded that the present theories are in good agreement with other higher order theories and 3-D solutions.

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“…36 compared the performance of various available HOSDTs based on polynomial expansions using Carrera’s unified formulation (CUF) for analysis of sandwich beams. Recently, Naik and Sayyad 37 and Sayyad and Naik 38 proposed a fifth-order HOSDT-based model for the analysis of laminated composite and sandwich plates. HOSDT gives the continuous variation of the transverse shear strain across the thickness but shows a discontinuity in the shear stress distribution at interfaces due to different values of shear rigidity at the adjacent layers.…”

Section: Introductionmentioning

confidence: 99%

Novel higher-order zigzag theory for analysis of laminated sandwich beams

Garg

Chalak

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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In the present work, a new higher-order zigzag theory is proposed for the analysis of laminated sandwich beams under static and free vibration conditions. Fourth-order in-plane and transverse displacement fields are chosen along with linear unit Heaviside step function. The present theory satisfies interlaminar transverse stress continuity conditions along with zero value at the top and bottom surface for transverse shear stresses. The proposed approach is also free from any kind of C-1 or penalty requirements. A three-noded one-dimensional finite element having eight degrees of freedom per node is used during analysis. The efficiency of the proposed model is carried out by comparing the present results with those available based on elasticity solutions and zigzag theories in the literature. New results are also reported in the present work, which will serve as a benchmark for future studies. The influence of boundary condition on the nature of stress distribution across the length of beam and frequencies of the beam with different end conditions is also carried out. A comparative study has also been carried out between symmetric and unsymmetric laminated sandwich beam.

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New Displacement Model for Accurate Prediction of Transverse Shear Stresses in Laminated and Sandwich Rectangular Plates

Cited by 8 publications

References 37 publications

Assessment of refined higher order theories for the static and vibration analysis of laminated composite cylindrical shells

Assessment of refined higher order theories for the static and vibration analysis of laminated composite cylindrical shells

A unified formulation of various shell theories for the analysis of laminated composite spherical shells

Novel higher-order zigzag theory for analysis of laminated sandwich beams

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