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Research Papers

Improved Viscoelastic Analysis of Laminated Composite and Sandwich Plates With an Enhanced First-Order Shear Deformation Theory

[+] Author and Article Information
Jang-Woo Han, Sy-Ngoc Nguyen

School of Mechanical and
Aerospace Engineering,
Seoul National University,
Seoul 151-744, South Korea

Jun-Sik Kim

Department of Intelligent
Mechanical Engineering,
Kumoh National Institute of Technology,
Gyeongbuk 730-701, South Korea

Maenghyo Cho

School of Mechanical and
Aerospace Engineering,
Seoul National University,
Seoul 151-744, South Korea
e-mail: mhcho@snu.ac.kr

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received September 19, 2015; final manuscript received November 9, 2015; published online December 10, 2015. Assoc. Editor: Nick Aravas.

J. Appl. Mech 83(3), 031004 (Dec 10, 2015) (10 pages) Paper No: JAM-15-1506; doi: 10.1115/1.4032013 History: Received September 19, 2015; Revised November 09, 2015

An enhanced first-order shear deformation theory (EFSDT) is developed for linear viscoelastic analysis of laminated composite and sandwich plates. Improved strain energy expression of the conventional Reissner/Mindlin first-order shear deformation theory (FSDT) through strain energy transformation is derived in the Laplace domain by minimizing the strain energy difference between FSDT and an efficient higher-order zigzag theory (EHOPT). The convolution theorem of Laplace transformation is applied to circumvent the complexity of dealing with linear viscoelastic materials. The present EFSDT with the Laplace domain approach has the same computational advantage of the conventional FSDT while improving upon the accuracy of the viscoelastic response by utilizing the postprocess recovery procedure. The accuracy and efficiency of the proposed theory are demonstrated through the numerical results obtained herein by comparing to those available in the open literature.

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Figures

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Fig. 1

Geometry and coordinates of the laminated composite plates

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Fig. 2

[0/90/0]: time-dependent in-plane displacements for the creep process

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Fig. 3

[90/0/90/0]: time-dependent in-plane displacements for the creep process

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Fig. 4

[0/Core/0]: time-dependent in-plane displacements for the creep process

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Fig. 5

[0/90/0]: time-dependent transverse shear stresses for the creep process

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Fig. 6

[0/Core/0]: time-dependent transverse shear stresses for the creep process

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Fig. 7

[0/90/0]: time-dependent in-plane stresses for the relaxation process

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Fig. 8

[0/Core/0]: time-dependent in-plane stresses for the relaxation process

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Fig. 10

[90/0/90/0]2: time-dependent transverse shear stresses for the relaxation process

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Fig. 11

[90/Core/0]: time-dependent transverse shear stresses for the relaxation process

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Fig. 9

[90/0/90/0]: time-dependent transverse shear stresses for the relaxation process

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