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Mathematical Problems in Engineering
Volume 2016, Article ID 6295204, 6 pages
http://dx.doi.org/10.1155/2016/6295204
Research Article

A New Form of the General Solution of the Elastic Space Axisymmetric Problem in Pavement Mechanics

College of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China

Received 20 April 2016; Revised 30 June 2016; Accepted 30 June 2016

Academic Editor: Chaudry M. Khalique

Copyright © 2016 Jia Liang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In order to analyze the stress and displacement of pavement, a new form of the general solution of the elastic space axisymmetric problem is proposed by the method of mathematics reasoning. Depending on the displacement function put forward by Southwell, displacement function is derived based on Hankel transform and inverse Hankel transform. A new form of the general solution of the elastic space axisymmetric problem has been set up according to a few basic equations as the geometric equations, constitutive equations, and equilibrium equations. The present solution applies to elastic half-space foundation and Winkler foundation; the stress and displacement of pavement are obtained by mathematical deduction. The example results show that the proposed method is practically feasible.