Two-dimensional mechanical stresses in a hollow FGM sphere
MetadataShow full item record
CitationJabbari, M. ve Mohazzab, A. H. (2009). Two-dimensional mechanical stresses in a hollow FGM sphere. Maltepe Üniversitesi. s. 242.
This paper studied the analytical solution for two-dimensional steady-state mechanical stresses in hollow functionally graded spheres. Material properties of the sphere are graded continuously across the thickness as power function in radial direction. Displacements and stresses are derived due to the general mechanical boundary conditions as function of radial and circumferential directions. The Navier equations are solved analytically, using Taylor and Legendre series. The direct method of solving Navier equations is presented. Functionally graded materials are very advanced and nonhomogeneous material where changed continuously from metal surface to ceramic surface. Spherical vessels are very applicable and useful in petroleum industrials, gasoline industrials and power plants. In this work by using direct method for solving Navier equations, we obtain general relations that we can apply many complicated mechanical boundary conditions on them, and see the behavior of FG sphere in each problem. These relations are evaluated analytically and are exact solution generally, not in special case and not numerically. And at the end of paper an example is solved and results are shown by two, three-dimensional figures and are discussed.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
The following license files are associated with this item: