Papers by Keyword: Elasticity Solution

Abstract: In this work, elastic stress and deformation distribution through the radial direction of FG rotating disks are accurately calculated by employing the complementary functions method. A parabolic variation of the thickness is used for the concave, linear and convex thickness profiles. The inner and outer surfaces of the FG disk are assumed to be ceramic-rich and metal-rich, respectively. Between these two surfaces material properties vary radially according to Mori-Tanaka grading rule. After confirming the present results with the analytical results for the uniform disk with power-law graded rule, the effect due to many parameters such as angular velocity, metal-ceramic pairs, and material grading index on the stresses and displacements is investigated.

Abstract: England (2006) proposed a novel theory to study the bending problem of isotropic functionally graded plates subjected to transverse biharmonic loads. His theory is extended here to functionally graded plates of transversely isotropic materials. Using the complex variable method, the governing equations of three plate displacements appearing in the expansions of the displacement field are formulated based on the three-dimensional theory of elasticity for a transverse load satisfying the biharmonic equation. The solutions may be expressed in terms of four analytic functions of the complex variable, in which the unknown constants can be determined from the boundary conditions similar to that in the classical plate theory(CPT). The elasticity solutions of an FGM annular plate under a uniform load are derived. A comparison of the present results for a uniform load with existing solutions is made and good agreement is observed. The influence of boundary conditions, material inhomogeneity and radius-to-radius ratio on the plate deflection and stresses are studied numerically.

Abstract: Elasticity solution is presented for simply-supported, orthotropic, piezoelectric cylindrical shell with finite length under local ring load in the middle of shell and electrostatic excitation. The highly coupled partial differential equations (p.d.e.) are reduced to ordinary differential equations(o.d.e.) with variable coefficients by means of trigonometric function expansion in longitudinal direction for displacement and external forces. The resulting ordinary differential equations are solved by Galerkin finite element method. Numerical examples are presented for [0/90/P] lamination with sensor and actuator for different thicknesses.