Numerical Solution of Axisymmetric Problem for an Elastic Footing

Abstract:

Based on formulas of elastic mechanics, the axisymmetric problem applied to an elastic footing is analyzed. Using Hankel transform and finite difference method, the arbitrary points’ displacement and stress solutions of the axisymmetric elastic footing problem is obtained. Compared with recursive substitution method and transfer matrix method, this method is simple because it avoids complex formulas and exponential function calculation. The half space model is more flexible to simulate an actual footing. The numerical solutions are compared with Boussinesq’s Equation and results show that finite difference method is applicable to solve axisymmetric elastic footing problem. But in the application of finite difference method, there are a few factors that could cause calculation errors. Effective measures are needed to obtain exact solutions.

• Periodical: Applied Mechanics and Materials (Volumes 170-173)
• Pages: 115-120
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.170-173.115
• Online since: May 2012
• Authors: Jia Zhang, Xing Min Hou, Li Xiang Wu
• Keywords: Boussinesq’s Equation, Elastic Footing, Finite Difference Method (FDM), Hankel Transform, Numerical Solution

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