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Keywords: functionally graded material, axisymmetric, circular plate, fourth-order shear deformation plate theory.

Summary

There are a number of third-order plate theories in the published literature for the analysis of thick plates and without using shear correction factors which are employed in first-order theories. A review of these theories may be found in the text-book of Reddy [1]. Extending the existing third-order theories and in order to obtain more accurate results, the authors expanded the order of the in-plane displacement through the thickness to a fourth (with transverse inextensibility) and analytically analyzed the problem. Since the order of the present theory is comparatively high its results are more suitable for design of thick plates.

Using the first-order plate theory of Mindlin (FST), Reddy et al. [2] studied axisymmetric bending and stretching of functionally graded solid circular and annular plates. They presented the solutions for deflections, force and moment resultants based on the first-order plate theory in terms of those obtained using the classical plate theory (CPT). Ma and Wang [3] employed the third-order plate theory of Reddy (TST) to solve the bending and buckling problems of FGM circular plates. They derived the relationships between the solutions of axisymmetric bending and buckling of FGMs based on the third-order plate theory and those of isotropic circular plates on the basis of CPT.

With the increased usage of FGMs, it is also important to better understand the deformation of these novel materials. In the present work, fourth-order shear deformation theory (FOST) is employed to analyze the axisymmetric bending problem of functionally graded circular plates (FGCPs) in which the bending-stretching coupling exists. Using an analytical method, the FOST bending solutions of FGCPs are presented in terms of the responses of isotropic circular plates based on the classical plate theory. The effects of the material distribution through the thickness and shear deformation on the axisymmetric bending of the FGCPs have both been considered. Numerical results for maximum deflection are presented for various percentages of ceramic-metal volume-fractions and have been compared with those obtained from FST and TST. It is concluded that the present higher-order theory predicts almost the same maximum deflection but more accurately the shear stress throughout the thickness in comparison with the TST results.

References

1: J.N. Reddy, "Theory and Analysis of Elastic plates", Taylor & Francis, Philadelphia, PA, 1999.
2: J.N. Reddy, C.M. Wang, S. Kitipornchai, "Axisymmetric bending of functionally graded circular and annular plates", European journal of Mechanics A/Solids, 18, 185-199, 1999. doi:10.1016/S0997-7538(99)80011-4
3: L.S. Ma, T.J. Wang, "Relationship between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory", International Journal of Solids and Structures, 41, 85-101, 2004. doi:10.1016/j.ijsolstr.2003.09.008

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 88 PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and M. Papadrakakis Paper 28 Axisymmetric Bending of Thick Functionally Graded Circular Plates Using Fourth-Order Shear Deformation Theory S. Sahraee¹ and A.R. Saidi² ¹Young Researchers Club, Islamic Azad University, Kermanshah Branch, Iran ²Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Iran doi:10.4203/ccp.88.28 purchase the full-text of this paper Full Bibliographic Reference for this paper S. Sahraee, A.R. Saidi, "Axisymmetric Bending of Thick Functionally Graded Circular Plates Using Fourth-Order Shear Deformation Theory", in B.H.V. Topping, M. Papadrakakis, (Editors), "Proceedings of the Ninth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 28, 2008. doi:10.4203/ccp.88.28 Keywords: functionally graded material, axisymmetric, circular plate, fourth-order shear deformation plate theory. Summary There are a number of third-order plate theories in the published literature for the analysis of thick plates and without using shear correction factors which are employed in first-order theories. A review of these theories may be found in the text-book of Reddy [1]. Extending the existing third-order theories and in order to obtain more accurate results, the authors expanded the order of the in-plane displacement through the thickness to a fourth (with transverse inextensibility) and analytically analyzed the problem. Since the order of the present theory is comparatively high its results are more suitable for design of thick plates. Using the first-order plate theory of Mindlin (FST), Reddy et al. [2] studied axisymmetric bending and stretching of functionally graded solid circular and annular plates. They presented the solutions for deflections, force and moment resultants based on the first-order plate theory in terms of those obtained using the classical plate theory (CPT). Ma and Wang [3] employed the third-order plate theory of Reddy (TST) to solve the bending and buckling problems of FGM circular plates. They derived the relationships between the solutions of axisymmetric bending and buckling of FGMs based on the third-order plate theory and those of isotropic circular plates on the basis of CPT. With the increased usage of FGMs, it is also important to better understand the deformation of these novel materials. In the present work, fourth-order shear deformation theory (FOST) is employed to analyze the axisymmetric bending problem of functionally graded circular plates (FGCPs) in which the bending-stretching coupling exists. Using an analytical method, the FOST bending solutions of FGCPs are presented in terms of the responses of isotropic circular plates based on the classical plate theory. The effects of the material distribution through the thickness and shear deformation on the axisymmetric bending of the FGCPs have both been considered. Numerical results for maximum deflection are presented for various percentages of ceramic-metal volume-fractions and have been compared with those obtained from FST and TST. It is concluded that the present higher-order theory predicts almost the same maximum deflection but more accurately the shear stress throughout the thickness in comparison with the TST results. References 1 J.N. Reddy, "Theory and Analysis of Elastic plates", Taylor & Francis, Philadelphia, PA, 1999. 2 J.N. Reddy, C.M. Wang, S. Kitipornchai, "Axisymmetric bending of functionally graded circular and annular plates", European journal of Mechanics A/Solids, 18, 185-199, 1999. doi:10.1016/S0997-7538(99)80011-4 3 L.S. Ma, T.J. Wang, "Relationship between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory", International Journal of Solids and Structures, 41, 85-101, 2004. doi:10.1016/j.ijsolstr.2003.09.008 purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £145 +P&P)
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