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Research Papers

Nonlinear Finite Element Analysis of Transient Behavior of Delaminated Composite Plate

[+] Author and Article Information
Chetan Kumar Hirwani

Department of Mechanical Engineering,
National Institute of Technology Rourkela,
Rourkela 769008, Odisha, India
e-mail: chetanhirwani111@gmail.com

Subrata Kumar Panda

Department of Mechanical Engineering,
National Institute of Technology Rourkela,
Rourkela 769008, Odisha, India
e-mails: pandask@nitrkl.ac.in; call2subrat@gmail.com

Trupti Ranjan Mahapatra

School of Mechanical Engineering,
KIIT University Bhubaneswar,
Bhubaneswar 751024, Odisha, India
e-mail: trmahapatrafme@kiit.ac.in

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 30, 2016; final manuscript received August 22, 2017; published online October 4, 2017. Assoc. Editor: Mahmoud Hussein.

J. Vib. Acoust 140(2), 021001 (Oct 04, 2017) (11 pages) Paper No: VIB-16-1485; doi: 10.1115/1.4037848 History: Received September 30, 2016; Revised August 22, 2017

The internal debonding effects on implicit transient responses of the shear deformable layered composite plate under the mechanical transverse (uniform and sinusoidal) loading are analyzed in this article. The physics of the laminated composite plate with internal debonding has been expressed mathematically via two kinds of midplane displacement functions based on Reddy's simple shear deformation kinematic theory. The geometrical nonlinearity of the debonded plate structure is estimated using total Lagrangian method. The time–displacement characteristics are evaluated numerically using the nonlinear finite element method (FEM). The governing equation of motion of the debonded laminated structure has been derived using the total Lagrangian method and solved numerically with the help of Newmark's time integration scheme in association with the direct iterative method. For the computation of output, a suitable matlab program is written by the use of the presently developed higher order nonlinear model. The consistency and the accuracy of the proposed complex numerical solutions have been established through the appropriate convergence and the comparison study. Finally, a series of numerical examples have been examined to address the influence of the size, the position, and the location of internal damage along with the material and geometrical parameter (modular ratio, side to thickness ratio, aspect ratio, and the boundary condition) on the nonlinear transient responses of delaminated composite plate and discussed in detail.

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Figures

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Fig. 1

Geometry and configuration of the laminated plate

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Fig. 2

Convergence study of HSDT-1 and HSDT-2, respectively

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Fig. 3

Linear transient responses of clamped two-layer cross-ply (0 deg/90 deg) laminated composites plate subjected to suddenly applied uniform pressure load

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Fig. 4

Nonlinear central deflection of square simply supported single-layer orthotropic plate under the step pressure loading

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Fig. 5

Linear transient responses of square simply supported (0 deg/90 deg)10 laminated composite plate under suddenly applied pulse load

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Fig. 6

Nonlinear transient response of simply supported four-layer laminated composite plate for different sizes of debonding under mechanical loading (UDL and SDL)

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Fig. 7

(a) and (b) Nonlinear transient response of delaminated composite plate for different position of debonding (c/a = 0.25) under mechanical loading (UDL and SDL)

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Fig. 8

(a) and (b) Nonlinear transient response of delaminated composite plate for different position of debonding (c/a = 0.5) mechanical loading (UDL and SDL)

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Fig. 9

(a) and (b) Nonlinear transient response of delaminated composite plate for different location of debonding (c/a = 0.25) mechanical loading (UDL and SDL)

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Fig. 10

(a) and (b) Nonlinear transient response of delaminated composite plate for different location of debonding (c/a = 0.5) mechanical loading (UDL and SDL)

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Fig. 11

(a) and (b) Influence of side-to-thickness ratio on nonlinear transient behavior of delaminated composite plate structure

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Fig. 12

(a) and (b) Influence of modular ratio on nonlinear transient behavior of delaminated composite plate structure

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Fig. 13

(a) and (b) Influence of aspect ratio on nonlinear transient behavior of delaminated composite plate

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Fig. 14

(a) and (b) Influence of different end constraints effect on nonlinear transient behavior of delaminated composite plate

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