Exact Solution for Axisymmetric Bending of Functionally Graded Circular Plate

Tsinghua Science and Technology

Volumn 14, Issue SUPPL. 2, 2009, Pages 64-68

  Zheng, Lei ^a   Zhong, Zheng ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

axisymmetric bending; elastically supported circular plate; exact solution; functionally graded material; rigid slipping circular plate

Indexed keywords

AXISYMMETRIC; BASIC EQUATIONS; CIRCULAR PLATES; DISPLACEMENT FUNCTION; EDGE BOUNDARY CONDITIONS; EXACT ANALYSIS; EXACT SOLUTION; EXPONENTIAL DEPENDENCE; FOURIER-BESSEL SERIES; FUNCTIONALLY GRADED; GRADED MATERIALS; MATERIAL PROPERTY; MECHANICAL BEHAVIOR; NUMERICAL EXAMPLE; STRESS AND DISPLACEMENTS; STRESS FIELD;

BEAMS AND GIRDERS; CRACK INITIATION; FRACTURE; MATERIALS PROPERTIES; MECHANICAL PROPERTIES; PLATES (STRUCTURAL COMPONENTS); STRESS ANALYSIS;

FUNCTIONALLY GRADED MATERIALS;

EID: 77649140478     PISSN: 10070214     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-0214(10)70033-X     Document Type: Article

References (15)

1. Suresh S., and Mortensen A. Fundamentals of Functionally Graded Materials: Processing and Thermomechanical Behavior of Graded Metals and Metal-Ceramic Composites (1998), IOM Communications Ltd, London, UK
2. Miyamoto Y., Kaysser W.A., Rabin B.H., et al. Functionally Graded Materials: Design, Processing and Applications (1999), Kluwer Academic Publishers, Boston, UK
3. Reddy J.N., Wang C.M., and Kitipoprnchai S. Axisymmetric bending of functionally graded circular and annular plates. European Journal of Mechanics A/Solids 18 2 (1999) 185-199
4. Wang T.J., Ma L.S., and Shi Z.F. Analytical solutions for axisymmetric bending of functionally graded circular/annular plates. Acta Mechanica Sinica 36 3 (2004) 348-353 (in Chinese)
5. Ma L.S., and Wang T.J. Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings. International Journal of Solids and Structures 40 13-14 (2003) 3311-3330
6. Ma L.S., and Wang T.J. Relationships 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 1 (2004) 85-101
7. Ma L.S., Zhao Y.G., and Yang J.N. Post-buckling of a functionally graded circular plate subjected to radial compression. Journal of Lanzhou University of Technology 32 4 (2006) 158-161 (in Chinese)
8. Ding H.J., Xu R.Q., and Guo F.L. Exact solution for axisymmetric laminated transversely isotropic functionally graded piezoelectric circular plate-I: Exact solution for piezoelectric circular plate. Science in China (Series E) 29 3 (1999) 214-221 (in Chinese)
9. Ding H.J., Xu R.Q., and Guo F.L. Exact solution for axisymmetric laminated transversely isotropic functionally graded piezoelectric circular plate-II: Exact solution and numerical analysis for piezoelectric circular plate. Science in China (Series E) 29 4 (1999) 298-305 (in Chinese)
10. Li X.Y., Ding H.J., and Chen W.Q. Three-dimensional analytical solution for functionally graded magneto-electro-elastic circular plates subjected to uniform load. Composite Structures 83 4 (2008) 381-390
11. k. International Journal of Solids and Structures 45 (2008) 191-210
12. Prakash T., and Ganapathi M. Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method. Composites: Part B 37 (2006) 642-649
13. Yang Z.G., Zhong Z., and Dai Y. Exact solution for axisymmetric vibration of a functionally graded piezoelectric circular plate. Chinese Quarterly of Mechanics 24 4 (2003) 506-511 (in Chinese)
14. Zhang X.R., and Zhong Z. Three dimensional exact solution for free vibration of functionally gradient piezoelectric circular plate. Chinese Quarterly of Mechanics 26 1 (2005) 81-86 (in Chinese)
15. Plevako V.P. On the theory of elasticity of inhomogeneous media. Journal of Applied Mathematics and Mechanics 35 (1971) 853-860