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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 110-116Hygrothermal Buckling Response of Laminated...

Hygrothermal Buckling Response of Laminated Composite Plates with Random Material Properties: Micro-Mechanical Model

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Abstract:

The aim of this paper is to find out the randomness in the material properties on the buckling of laminated composite plate needed for the economy, safety and reliability of the structures and components in their operational life especially for sensitive Aerospace Engineering applications in hygrothermal environments. Micromechanical model has been taken for the analysis .The used methodology is a C0 finite element method based on higher-order shear deformation plate theory for deriving the standard eigenvalue problem. A Taylor series based mean-centered first order perturbation technique is used to find out the second order statistics of the hygrothermal buckling loads under different sets of environmental conditions..The numerical results for deterministic parameters are compared and validated with available literature and random parameters with independent Monte Carlo Simulation. The result shows that the plate is significantly affected by the hygrothermal buckling load.

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Mechanical and Aerospace Engineering, ICMAE2011

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Periodical:

Applied Mechanics and Materials (Volumes 110-116)

Pages:

113-119

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.110-116.113

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Cite this paper

Online since:

October 2011

Authors:

Rajesh Kumar, Dharamveer Singh

Keywords:

Hygrothermal Buckling, Perturbation Technique, Random Material Properties, Stochastic Finite Element

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[5] Present Vf=.

5 Vf=.

6 Vf=.

7 Vf=.

5 Vf=.

6 Vf=.

7 (0/90)s ΔT=00CΔC=0% 171. 3 203. 9 243. 2 171. 2 203. 8 243. 9 ΔT=10000C ΔC=1% 161. 4 193. 5 232. 5 159. 7 191. 4 230. 7 Figure 1. Geometry of laminated composite plate. Table 2 Effect of boundary conditions and input random variables bi{i=1…9, 7-8, 9 and 10= 0. 10} cross ply [00/900]2T square laminated plate ( a/h=30) , volume fraction Vf=0. 6, T0=250C subjected to uniform (U.T. ) temperature and moisture distribution, in-plane uni-axial compression . The dimensionlised expected mean hygrothermal buckling loads is given as Nx (KN). TABLE 2 BCs Temperature independent (TID) material properties ΔT=00C, ΔC=0% Expected Mean (KN). Coefficient of variation (SD/ Mean) bi (i=1... 9) (i=7. -8) (i=9) (i=10, 11) SSSS (S1).

[11] 7.

078.

002 0.

03 SSSS (S2).

[11] 7.

078.

002 0.

03 CCCC.

[37] 5.

074.

[7] 81e-04 0.

03 CSCS.

[21] 6.

076.

001 0.

02 BCs Temperature independent (TID) material properties ΔT=2000C, ΔC=3% Expected Mean (KN). Coefficient of variation (SD/ Mean) bi (i=1. 9) (i=7. -8) (i=9) (i=10, 11) SSSS (S1).

[10] 06.

082.

020.

006.

038 SSSS (S2).

[10] 21.

081.

020.

006.

038 CCCC.

[32] 47.

074.

006.

002.

038 CSCS.

[18] 91.

076.

011.

003.

032 Figure 2. Validation of FOPT results with independent MCS results of random material properties.