Advanced search
1 file | 3.26 MB Add to list

A generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis

(2016) ACTA MECHANICA. 227(5). p.1225-1250
Author
Organization
Abstract
This paper presents a generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates. We exploit a higher-order shear deformation theory in each layer such that the continuity of the displacement and transverse shear stresses at the layer interfaces is ensured. Thanks for enforcing the continuity of the displacement and transverse shear stresses at an inner-laminar layer, the minimum number of variables is retained from the present theory in comparison with other layerwise theories. The method requires only five variables, the same as what obtained from the first- and higher-order shear deformation theories. In comparison with the shear deformation theories based on the equivalent single layer, the present theory is capable of producing a higher accuracy for inner-laminar layer shear stresses. The free boundary conditions of transverse shear stresses at the top and bottom surfaces of the plate are fulfilled without any shear correction factors. The discrete system equations are derived from the Galerkin weak form, and the solution is obtained by isogeometric analysis (IGA). The discrete form requires the C-1 continuity of the transverse displacement, and hence NURBS basis functions in IGA naturally ensure this condition. The laminated composite and sandwich plates with various geometries, aspect ratios, stiffness ratios and boundary conditions are studied. The obtained results are compared with the 3D elasticity solution, the analytical as well as numerical solutions based on various plate theories.
Keywords
FINITE-ELEMENT-ANALYSIS, FUNCTIONALLY GRADED PLATES, FREE-VIBRATION ANALYSIS, BUCKLING ANALYSIS, STRESS CONTINUITY, TRANSVERSE-SHEAR, MULTILAYERED PLATES, DISPLACEMENT MODEL, STATIC ANALYSIS, ELASTIC PLATES

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 3.26 MB

Citation

Please use this url to cite or link to this publication:

MLA
Thai, Chien et al. “A Generalized Layerwise Higher-order Shear Deformation Theory for Laminated Composite and Sandwich Plates Based on Isogeometric Analysis.” ACTA MECHANICA 227.5 (2016): 1225–1250. Print.
APA
Thai, C., Ferreira, A., Abdel Wahab, M., & Nguyen-Xuan, H. (2016). A generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis. ACTA MECHANICA, 227(5), 1225–1250.
Chicago author-date
Thai, Chien, AJM Ferreira, Magd Abdel Wahab, and H Nguyen-Xuan. 2016. “A Generalized Layerwise Higher-order Shear Deformation Theory for Laminated Composite and Sandwich Plates Based on Isogeometric Analysis.” Acta Mechanica 227 (5): 1225–1250.
Chicago author-date (all authors)
Thai, Chien, AJM Ferreira, Magd Abdel Wahab, and H Nguyen-Xuan. 2016. “A Generalized Layerwise Higher-order Shear Deformation Theory for Laminated Composite and Sandwich Plates Based on Isogeometric Analysis.” Acta Mechanica 227 (5): 1225–1250.
Vancouver
1.
Thai C, Ferreira A, Abdel Wahab M, Nguyen-Xuan H. A generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis. ACTA MECHANICA. 2016;227(5):1225–50.
IEEE
[1]
C. Thai, A. Ferreira, M. Abdel Wahab, and H. Nguyen-Xuan, “A generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis,” ACTA MECHANICA, vol. 227, no. 5, pp. 1225–1250, 2016.
@article{7044410,
  abstract     = {This paper presents a generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates. We exploit a higher-order shear deformation theory in each layer such that the continuity of the displacement and transverse shear stresses at the layer interfaces is ensured. Thanks for enforcing the continuity of the displacement and transverse shear stresses at an inner-laminar layer, the minimum number of variables is retained from the present theory in comparison with other layerwise theories. The method requires only five variables, the same as what obtained from the first- and higher-order shear deformation theories. In comparison with the shear deformation theories based on the equivalent single layer, the present theory is capable of producing a higher accuracy for inner-laminar layer shear stresses. The free boundary conditions of transverse shear stresses at the top and bottom surfaces of the plate are fulfilled without any shear correction factors. The discrete system equations are derived from the Galerkin weak form, and the solution is obtained by isogeometric analysis (IGA). The discrete form requires the C-1 continuity of the transverse displacement, and hence NURBS basis functions in IGA naturally ensure this condition. The laminated composite and sandwich plates with various geometries, aspect ratios, stiffness ratios and boundary conditions are studied. The obtained results are compared with the 3D elasticity solution, the analytical as well as numerical solutions based on various plate theories.},
  author       = {Thai, Chien and Ferreira, AJM and Abdel Wahab, Magd and Nguyen-Xuan, H},
  issn         = {0001-5970},
  journal      = {ACTA MECHANICA},
  keywords     = {FINITE-ELEMENT-ANALYSIS,FUNCTIONALLY GRADED PLATES,FREE-VIBRATION ANALYSIS,BUCKLING ANALYSIS,STRESS CONTINUITY,TRANSVERSE-SHEAR,MULTILAYERED PLATES,DISPLACEMENT MODEL,STATIC ANALYSIS,ELASTIC PLATES},
  language     = {eng},
  number       = {5},
  pages        = {1225--1250},
  title        = {A generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis},
  url          = {http://dx.doi.org/10.1007/s00707-015-1547-4},
  volume       = {227},
  year         = {2016},
}

Altmetric
View in Altmetric
Web of Science
Times cited: