Stress Analysis of Thick-Walled Cylinders Made of Functionally Graded Materials Using Strain Gradient Elasticity

There are several experimental evidences which show that classical elasticity theory doesn’t give accurate results when the dimensions of the problem under study are in micro scales. Strain gradient elasticity takes into account a length scale parameter, in addition to Lame moduli in the constitutive equations, which characterizes the length dependency of the elastic behavior of materials. In this paper to consider the length dependency in the elastic deformation of Functionally Graded (FG) cylinders, the strain gradient elasticity is used. A forth order governing equation is derived and it is solved numerically together with four boundary conditions. Results show that as the length scale parameter, l, increases the length scale dependency of the results increases and the difference between the strain gradient solution and the Lame solution raises. Also, the effect of material gradation on the stress and displacement of a length scale dependent FG cylinder is studied.

کلیدواژه ها:

Functionally graded material ، Thick-walled cylinder ، Strain gradient elasticity ، microstructure