Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Smart Structures and Systems Volume 21, Number 4, April 2018 , pages 469-477 DOI: https://doi.org/10.12989/sss.2018.21.4.469 |
|
|
|
Transfer matrix method for solution of FGMs thick-walled cylinder with arbitrary inhomogeneous elastic response |
||
Y.Z. Chen
|
||
| Abstract | ||
| This paper presents a numerical solution for the thick cylinders made of functionally graded materials (FGMs) with a constant Poisson\'s ratio and an arbitrary Young\'s modulus. We define two fundamental solutions which are derived from an ordinary differential equation under two particular initial boundary conditions. In addition, for the single layer case, we can define the transfer matrix N. The matrix gives a relation between the values of stress and displacement at the interior and exterior points. By using the assumed boundary condition and the transfer matrix, we can obtain the final solution. The transfer matrix method also provides an effective way for the solution of multiply layered cylinder. Finally, a lot of numerical examples are present. | ||
| Key Words | ||
| functionally graded materials; fundamental solution; transfer matrix method; multiply layered cylinder | ||
| Address | ||
| Y.Z. Chen: Division of Engineering Mechanics, Jiangsu University, Zhenjiang, Jiangsu, 212013 P. R. China | ||