Analysis of cross-ply laminated plates using isogeometric analysis and unified formulation

S. Natarajan; A.J.M. Ferreira; Hung Nguyen-Xuan

Curved and Layered Structures (2014)

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

Abstract

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In this paper, we study the static bending and free vibration of cross-ply laminated composite plates using sinusoidal deformation theory. The plate kinematics is based on the recently proposed Carrera Unified Formulation (CUF), and the field variables are discretized with the non-uniform rational B-splines within the framework of isogeometric analysis (IGA). The proposed approach allows the construction of higher-order smooth functions with less computational effort.Moreover, within the framework of IGA, the geometry is represented exactly by the Non-Uniform Rational B-Splines (NURBS) and the isoparametric concept is used to define the field variables. On the other hand, the CUF allows for a systematic study of two dimensional plate formulations. The combination of the IGA with the CUF allows for a very accurate prediction of the field variables. The static bending and free vibration of thin and moderately thick laminated plates are studied. The present approach also suffers fromshear locking when lower order functions are employed and shear locking is suppressed by introducing a modification factor. The effectiveness of the formulation is demonstrated through numerical examples.

How to cite

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S. Natarajan, A.J.M. Ferreira, and Hung Nguyen-Xuan. "Analysis of cross-ply laminated plates using isogeometric analysis and unified formulation." Curved and Layered Structures 1.1 (2014): null. <http://eudml.org/doc/276961>.

@article{S2014,
abstract = {In this paper, we study the static bending and free vibration of cross-ply laminated composite plates using sinusoidal deformation theory. The plate kinematics is based on the recently proposed Carrera Unified Formulation (CUF), and the field variables are discretized with the non-uniform rational B-splines within the framework of isogeometric analysis (IGA). The proposed approach allows the construction of higher-order smooth functions with less computational effort.Moreover, within the framework of IGA, the geometry is represented exactly by the Non-Uniform Rational B-Splines (NURBS) and the isoparametric concept is used to define the field variables. On the other hand, the CUF allows for a systematic study of two dimensional plate formulations. The combination of the IGA with the CUF allows for a very accurate prediction of the field variables. The static bending and free vibration of thin and moderately thick laminated plates are studied. The present approach also suffers fromshear locking when lower order functions are employed and shear locking is suppressed by introducing a modification factor. The effectiveness of the formulation is demonstrated through numerical examples.},
author = {S. Natarajan, A.J.M. Ferreira, Hung Nguyen-Xuan},
journal = {Curved and Layered Structures},
keywords = {unified formulation; isogeometric analysis; non-uniform rational B-splines; shear locking; sinusoidal shear deformation theory},
language = {eng},
number = {1},
pages = {null},
title = {Analysis of cross-ply laminated plates using isogeometric analysis and unified formulation},
url = {http://eudml.org/doc/276961},
volume = {1},
year = {2014},
}

TY - JOUR
AU - S. Natarajan
AU - A.J.M. Ferreira
AU - Hung Nguyen-Xuan
TI - Analysis of cross-ply laminated plates using isogeometric analysis and unified formulation
JO - Curved and Layered Structures
PY - 2014
VL - 1
IS - 1
SP - null
AB - In this paper, we study the static bending and free vibration of cross-ply laminated composite plates using sinusoidal deformation theory. The plate kinematics is based on the recently proposed Carrera Unified Formulation (CUF), and the field variables are discretized with the non-uniform rational B-splines within the framework of isogeometric analysis (IGA). The proposed approach allows the construction of higher-order smooth functions with less computational effort.Moreover, within the framework of IGA, the geometry is represented exactly by the Non-Uniform Rational B-Splines (NURBS) and the isoparametric concept is used to define the field variables. On the other hand, the CUF allows for a systematic study of two dimensional plate formulations. The combination of the IGA with the CUF allows for a very accurate prediction of the field variables. The static bending and free vibration of thin and moderately thick laminated plates are studied. The present approach also suffers fromshear locking when lower order functions are employed and shear locking is suppressed by introducing a modification factor. The effectiveness of the formulation is demonstrated through numerical examples.
LA - eng
KW - unified formulation; isogeometric analysis; non-uniform rational B-splines; shear locking; sinusoidal shear deformation theory
UR - http://eudml.org/doc/276961
ER -

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Citations in EuDML Documents

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  1. A. S. Sayyad, Y. M. Ghugal, N. S. Naik, Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory
  2. Rossana Dimitri, Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review
  3. A. S. Sayyad, Y. M. Ghugal, A nth-order shear deformation theory for composite laminates in cylindrical bending
  4. Sachin Shrivastava, P.M. Mohite, Design and Optimization of a Composite Canard Control Surface of an Advanced Fighter Aircraft under Static Loading
  5. Sachin Shrivastava, P.M. Mohite, Redesigning of a Canard Control Surface of an Advanced Fighter Aircraft: Effect on Buckling and Aerodynamic Behavior
  6. Sarmila Sahoo, Free vibration behavior of laminated composite stiffened elliptic parabolic shell panel with cutout
  7. Liecheng Sun, Issam E. Harik, Analytical solution to bending of stiffened and continuous antisymmetric laminates

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