Elastic Multilayer Analysis Using Extrapolating Oscillatory Integration

In classical mechanics, solutions to various solid mechanics problems have been very well established. A famous one is the Burmister's solution for the case of a uniformly distributed circular vertical load actingon the surface of a three-layered system. In practical problems like pavement and foundation analysis, accurate and efficient solutions for multilayer systems are needed. Solutions presented in this paper make use of Hankel transform. In Hankel transform a semi-infinite integral is confronted that must be calculated using numerical methods. In this research, codes developed in Mathematica are used to assess the efficiencyof extrapolating oscillatory integration method for this special case. The criteria used for assessing the efficiency of this method is the number of integrand evaluation points to satisfy the specified precision. Problems were found only in the vicinity of the surface

Keywords:

Elastic Multilayer System , Hankel Transform , Extrapolating Oscillatory Integration