A New Form of the General Solution of the Elastic Space Axisymmetric Problem in Pavement Mechanics. (31st July 2016)

• Record Type: Journal Article
• Authors: Liang, Jia; Jian, Guo; Shikai, He
• Other Names: Khalique Chaudry M. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-07-31
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/6295204
• Languages: English
• ISSNs: 1024-123X

Abstract

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.