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## 3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS

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This paper investigates the static behavior of non-uniform bi-directional functionally graded (FG) circular plates embedded on gradient elastic foundations (Winkler- Pasternak type) and subjected to non-uniform asymmetric transverse and in-plane shear loads. The governing state equations are derived in terms of displacements based on 3D theory of elasticity, and assuming the material properties of the plate except the Poisson’s ratio varies continuously throughout the thickness and radial directions according to an exponential function. These equations are solved by means semianalytical method using state-space based differential quadrature method. Numerical results are displayed to clarify the effects of foundation stiffnesses, material heterogeneity indices, various foundation patterns, foundation grading indices, loads ratio and geometric parameters on the displacement and stress fields. The results are reported for the first time and the new results can be used as a benchmark solution for future researches
Functionally graded, circular Plate, Gradient elastic foundation, Elasticity, Semi-analytical method, Boundary condition
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Other ID JA66CY59JZ Articles Author: A.Behravan Rad Author: K. Mohammadi Majd Publication Date: September 1, 2014
 Bibtex @ { ijeas251222, journal = {International Journal of Engineering and Applied Sciences}, issn = {}, eissn = {1309-0267}, address = {Akdeniz University}, year = {2014}, volume = {6}, pages = {52 - 74}, doi = {10.24107/ijeas.251222}, title = {3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS}, key = {cite}, author = {Rad, A.Behravan and Majd, K. Mohammadi} } APA Rad, A , Majd, K . (2014). 3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS. International Journal of Engineering and Applied Sciences, 6 (3), 52-74. DOI: 10.24107/ijeas.251222 MLA Rad, A , Majd, K . "3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS". International Journal of Engineering and Applied Sciences 6 (2014): 52-74 Chicago Rad, A , Majd, K . "3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS". International Journal of Engineering and Applied Sciences 6 (2014): 52-74 RIS TY - JOUR T1 - 3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS AU - A.Behravan Rad , K. Mohammadi Majd Y1 - 2014 PY - 2014 N1 - doi: 10.24107/ijeas.251222 DO - 10.24107/ijeas.251222 T2 - International Journal of Engineering and Applied Sciences JF - Journal JO - JOR SP - 52 EP - 74 VL - 6 IS - 3 SN - -1309-0267 M3 - doi: 10.24107/ijeas.251222 UR - https://doi.org/10.24107/ijeas.251222 Y2 - 2019 ER - EndNote %0 International Journal of Engineering and Applied Sciences 3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS %A A.Behravan Rad , K. Mohammadi Majd %T 3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS %D 2014 %J International Journal of Engineering and Applied Sciences %P -1309-0267 %V 6 %N 3 %R doi: 10.24107/ijeas.251222 %U 10.24107/ijeas.251222 ISNAD Rad, A.Behravan , Majd, K. Mohammadi . "3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS". International Journal of Engineering and Applied Sciences 6 / 3 (September 2014): 52-74. https://doi.org/10.24107/ijeas.251222 AMA Rad A , Majd K . 3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS. IJEAS. 2014; 6(3): 52-74. Vancouver Rad A , Majd K . 3D ELASTICITY SOLUTION FOR THE STATIC ANALYSIS OF VARIABLE THICKNESS BI-DIRECTIONAL FUNCTIONALLY GRADED CIRCULAR PLATES SUBJECTED TO NON-UNIFORM ASYMMETRIC BOUNDARY CONDITIONS. International Journal of Engineering and Applied Sciences. 2014; 6(3): 74-52.