Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 59, Number 2, July25 2016 , pages 227-241 DOI: https://doi.org/10.12989/sem.2016.59.2.227 |
|
|
|
Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer |
||
Sergey S. Volkov, Alexander N. Litvinenko, Sergey M. Aizikovich, Yun-Che Wang and Andrey S. Vasiliev
|
||
| Abstract | ||
| A circular plate with constant thickness, finite radius and stiff edge lying on an elastic halfspace is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision. | ||
| Key Words | ||
| plate bending; circular plate; Kirchhoff plate; axisymmetric problem; functionally graded; soft layer; elastic layer; analytic method | ||
| Address | ||
| Sergey S. Volkov: Research and Education Center \"Materials\", Don State Technical University, Rostov-on-Don 344000, Russia Alexander N. Litvinenko: Vorovich Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don 344090, Russia Sergey M. Aizikovich: Research and Education Center \"Materials\", Don State Technical University, Rostov-on-Don 344000, Russia; Vorovich Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don 344090, Russia Yun-Che Wang: Department of Civil Engineering, National Cheng Kung University, Tainan 70101, Taiwan Andrey S. Vasiliev: Research and Education Center \"Materials | ||