Salah Messast  , A. Boumekik  , M. Mansouri  , 
    Static and Dynamic Response of a Pile Foundation Subjected to a Vertical Load,
    Journal of Engineering and Applied Sciences,
    Volume 1,Issue 4,
    2006,
    Pages 394-399,
    ISSN 1816-949x,
    jeasci.2006.394.399,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2006.394.399)
    Abstract: In this study a discrete semi analytical method based on a combination of the Finite Elements, Thin Layers and Integral Equations Methods is presented to evaluate the vertical static and dynamic linear response of a pile foundation subjected to a vertical load. This study, which takes into account the soil-pile interaction effects, is able to treat the case of an arbitrary shaped pile. However, the presentation will be limited to the case of a massless square pile with linear elastic behaviour. The pile is embedded in a viscoelastic soil-layer overlaying a bedrock and subjected to static or/and harmonic vertical load, applied at the head of the pile. The aim of this study is to characterise the response of a pile through the force-displacement relationship. Numerical results are presented to illustrate the accuracy of this study.
    Keywords: Soil;pile;vibration;finite elements;boundary elements;displacement