|
|||||
 |
|
|
|
|
|
Analytical solution
for a concentrated force on the free surface of a coated
material
Zhigen Wu, Yihua Liu, Chunxiao Zhan and Meiqin Wang |
|
Vol. 5 (2010), No. 6, 875–886
|
Abstract |
|
Based on the general solution of the displacement method for isotropic plane problems, the analytical solution for the plane problem of coated materials subjected to an arbitrary concentrated force on the free surface has been derived explicitly by using the image point method. The displacement functions are assumed to be the infinite series of the harmonic functions defined in the local coordinate systems with their origins placed at different image points. The harmonic functions corresponding to the higher-order image points can be deduced from those to the lower-order points by the recurrence formulae presented in this paper, and the first two harmonic functions are the displacement functions for the solution of a semi-infinite plane subjected to a concentrated force on the free surface. The theoretical formulae have been confirmed by numerical, finite-element-based, results in a special coated material. |
Keywords
analytical solution, coated material, image point method,
displacement method, interface
|
Milestones
Received: 4 January 2010
Revised: 3 May 2010
Accepted: 3 June 2010
Published: 1 January 2011
|
Authors |
| Zhigen Wu | |
| Hefei University of Technology School of Civil Engineering Hefei, 230009 China |
|
| Yihua Liu | |
| Hefei University of Technology School of Civil Engineering Hefei, 230009 China |
|
| Chunxiao Zhan | |
| Hefei University of Technology School of Civil Engineering Hefei, 230009 China |
|
| Meiqin Wang | |
| Hefei University of Technology School of Civil Engineering Hefei, 230009 China |
|
|
