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

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  • Jia Liang
  • Guo Jian
  • He Shikai

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.

Suggested Citation

  • Jia Liang & Guo Jian & He Shikai, 2016. "A New Form of the General Solution of the Elastic Space Axisymmetric Problem in Pavement Mechanics," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-6, July.
    • Handle: RePEc:hin:jnlmpe:6295204
    DOI: 10.1155/2016/6295204
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