Stochastic analysis of compositionally graded plates with system randomness under static loading

Yang, J, Liew, K and Kitipornchai, S 2005, 'Stochastic analysis of compositionally graded plates with system randomness under static loading', International Journal of Mechanical Sciences, vol. 47, no. 10, pp. 1519-1541.


Document type: Journal Article
Collection: Journal Articles

Title Stochastic analysis of compositionally graded plates with system randomness under static loading
Author(s) Yang, J
Liew, K
Kitipornchai, S
Year 2005
Journal name International Journal of Mechanical Sciences
Volume number 47
Issue number 10
Start page 1519
End page 1541
Total pages 23
Publisher Pergamon
Abstract This paper presents an investigation of the stochastic bending response of moderately thick, compositionally graded plates with uncertainties of low variability and subjected to lateral load and uniform temperature change. System parameters such as the thermal and mechanical material properties of each constituent material, volume fraction index, and load intensity are taken as independent random variables. The basic formulations are based on Reddy's higher-order shear deformation plate theory and a semi-analytical method. A first-order perturbation technique is employed to obtain the second-order response statistics-mean and variance of the flexural deflection of plates with various boundary conditions. Typical results are presented for two types of plates containing functionally graded materials made of metallic phase Ni and ceramic phase Al2O3. It is found that the response sensitivity of the plate is very much dependent on the material composition. Variations in Young's modulus and lateral load have dominant effects on the stochastic characteristics compared to other random parameters. The deflection dispersion of compositionally graded plates shows the so-called "non-intermediate" characteristic even when thermal loading is absent.
Subject Mechanical Engineering not elsewhere classified
DOI - identifier 10.1016/j.ijmecsci.2005.06.006
ISSN 0020-7403
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