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

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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 C1 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.

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Authors and Affiliations

  1. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Chien H. Thai

  2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Chien H. Thai

  3. Departamento de Engenharia Mecanica, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    A. J. M. Ferreira

  4. Laboratory Soete, Faculty of Engineering and Architecture, Ghent University, 9000, Ghent, Belgium

    M. Abdel Wahab

  5. Center for Interdisciplinary Research in Technology (CIRTech), Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh City, 70000, Vietnam

    H. Nguyen-Xuan

  6. Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul, 143-747, South Korea

    H. Nguyen-Xuan

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  1. Chien H. Thai
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  2. A. J. M. Ferreira
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  3. M. Abdel Wahab
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Thai, C.H., Ferreira, A.J.M., Abdel Wahab, M. et al. A generalized layerwise higher-order shear deformation theory for laminated composite and sandwich plates based on isogeometric analysis. Acta Mech 227, 1225–1250 (2016). https://doi.org/10.1007/s00707-015-1547-4

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