Investigation of Thermal and Mechanical Loading on Functional Graded Material Plates

Authors: Mine Uslu Uysal

Abstract:

This paper interested in the mechanical deformation behavior of shear deformable functionally graded ceramic-metal (FGM) plates. Theoretical formulations are based on power law theory when build up functional graded material. The mechanical properties of the plate are graded in the thickness direction according to a power-law Displacement and stress is obtained using finite element method (FEM). The load is supposed to be a uniform distribution over the plate surface (XY plane) and varied in the thickness direction only. An FGM’s gradation in material properties allows the designer to tailor material response to meet design criteria. An FGM made of ceramic and metal can provide the thermal protection and load carrying capability in one material thus eliminating the problem of thermo-mechanical deformation behavior. This thesis will explore analysis of FGM flat plates and shell panels, and their applications to r structural problems. FGMs are first characterized as flat plates under pressure in order to understand the effect variation of material properties has on structural response. In addition, results are compared to published results in order to show the accuracy of modeling FGMs using ABAQUS software.

Keywords: Functionally graded material, finite element method, thermal and structural loading.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1089162

References:

[1] M. Koizumi, "The concept of FGM", Proceedings of the Second International Symposium on FGM, vol. 34, pp. 3−10, 1993.
[2] M. Koizumi, "FGM activities in Japan", Composites Part B, vol. 28B, pp. 1−4, 1997.
[3] H. Matasunaga, "Analysis of functionally graded plates", Compos. Struct., vol. 82, pp. 499−512, 2008.
[4] E. Reissner, "The effect of transverse shear deformation on the bending of elastic plates", J. Appl. Mech., vol. 12, pp. A69−A77, 1945.
[5] R.D., Mindlin, "Influence of rotatory inertia and shear on flexural vibrations of isotropic elastic plates", J. Appl. Mech., vol. 73, pp. 31−38, 1951.
[6] J. N. Reddy, "Analysis of functionally graded plates", Int. J. Numer. Method Eng., vol.47, pp. 663−684, 2000.
[7] J.N. Reddy, "Mechanics of Laminated Composite Plates and Shells", Boca Raton, FL: CRC Press (2nd Edition), LLC, 2004.
[8] http://www2.latech.edu.
[9] C. E. Harris, M. J. Shuart, and H. R. Gray, "A Survey of Emerging Materials for Revolutionary Aerospace Vehicle Structures and Propulsion System", NASA TM-211664, 2002.
[10] S. H. Chi, and Y. L. Chung, "Mechanical Behavior of Functionally Graded Material Plates under Transverse Load- Part I: Analysis", Int. J. Solids and Structures, vol. 43, pp. 3657-3674, 2006.
[11] A. H. Akbarzadeh, S. K. Hosseini zad, M. R. Eslami, and M. Sadighi, "Mechanical behavior of functionally graded plates under static and dynamic loading", Proc. IMechE Part C: J. Mechanical Engineering Science, vol. 224, 2010.
[12] R.D. Cook, D.S. Malkus, M.E. Plesha, and R.J. Witt, "Concepts and Applications of Finite Element Analysis", New York, NY: John Wiley & Sons, Inc., (4th Edition), 2002.
[13] ABAQUS User’s Manual, ABAQUS, Inc. 2003.