A nth-order shear deformation theory for composite laminates in cylindrical bending

A. S. Sayyad; Y. M. Ghugal

Curved and Layered Structures (2015)

  • Volume: 2, Issue: 1
  • ISSN: 2353-7396

Abstract

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The present study investigates whether an nthorder shear deformation theory is applicable for the composite laminates in cylindrical bending. The theory satisfies the traction free conditions at top and bottom surfaces of the plate and does not require problem dependent shear correction factor which is normally associated with the first order shear deformation theory. The well-known classical plate theory at (n = 1) and higher order shear deformation theory of Reddy at (n = 3) are the perticular cases of the present theory. The governing equations of equilibrium and boundary conditions are obtained using the principle of virtual work. A simply supported laminated composite plate infinitely long in y-direction is considered for the detail numerical study. A closed form solution for simply supported boundary conditions is obtained using Navier’s technique. The displacements and stresses are obtained for different aspect ratios and modular ratios.

How to cite

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A. S. Sayyad, and Y. M. Ghugal. "A nth-order shear deformation theory for composite laminates in cylindrical bending." Curved and Layered Structures 2.1 (2015): null. <http://eudml.org/doc/276943>.

@article{A2015,
abstract = {The present study investigates whether an nthorder shear deformation theory is applicable for the composite laminates in cylindrical bending. The theory satisfies the traction free conditions at top and bottom surfaces of the plate and does not require problem dependent shear correction factor which is normally associated with the first order shear deformation theory. The well-known classical plate theory at (n = 1) and higher order shear deformation theory of Reddy at (n = 3) are the perticular cases of the present theory. The governing equations of equilibrium and boundary conditions are obtained using the principle of virtual work. A simply supported laminated composite plate infinitely long in y-direction is considered for the detail numerical study. A closed form solution for simply supported boundary conditions is obtained using Navier’s technique. The displacements and stresses are obtained for different aspect ratios and modular ratios.},
author = {A. S. Sayyad, Y. M. Ghugal},
journal = {Curved and Layered Structures},
keywords = {nth-order shear deformation theory; shear correction factor; traction free conditions; laminated composites; cylindrical bending},
language = {eng},
number = {1},
pages = {null},
title = {A nth-order shear deformation theory for composite laminates in cylindrical bending},
url = {http://eudml.org/doc/276943},
volume = {2},
year = {2015},
}

TY - JOUR
AU - A. S. Sayyad
AU - Y. M. Ghugal
TI - A nth-order shear deformation theory for composite laminates in cylindrical bending
JO - Curved and Layered Structures
PY - 2015
VL - 2
IS - 1
SP - null
AB - The present study investigates whether an nthorder shear deformation theory is applicable for the composite laminates in cylindrical bending. The theory satisfies the traction free conditions at top and bottom surfaces of the plate and does not require problem dependent shear correction factor which is normally associated with the first order shear deformation theory. The well-known classical plate theory at (n = 1) and higher order shear deformation theory of Reddy at (n = 3) are the perticular cases of the present theory. The governing equations of equilibrium and boundary conditions are obtained using the principle of virtual work. A simply supported laminated composite plate infinitely long in y-direction is considered for the detail numerical study. A closed form solution for simply supported boundary conditions is obtained using Navier’s technique. The displacements and stresses are obtained for different aspect ratios and modular ratios.
LA - eng
KW - nth-order shear deformation theory; shear correction factor; traction free conditions; laminated composites; cylindrical bending
UR - http://eudml.org/doc/276943
ER -

References

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