Authors: Guanfeng Tian Liansheng Tang
Publish Date: 2017/01/03
Volume: 35, Issue: 2, Pages: 781-797
Abstract
The layered nature of natural soil must be considered in ground engineering To this end a ground finite layer method FLM based on extended patterns is proposed on the basis of the principles of traditional FLM First the displacement mode of the layer element uses the multiplication form of a quintic fully polynomial and double series By superposing the calculated solutions of four symmetric loading patterns the extended FLM can be used to analyze the mechanical state of ground under various types of loads Second the selection principles and methods for some important parameters of the extended FLM are established by analyzing and discussing the stress and displacement characteristics of ground loaded with vertical unit force Finally after a comparison with the solutions of classical analytical methods such as the Boussinesq Mindlin and Cerruti formulae the extended FLM is verified to be rational and accurate outside of the loading influence range Thus the proposed method will be easier to use in practice due to its adaptability to layered ground however its scope of influence and its mechanism near the loading position require further researchBased on the similarity of the three equations Eqs 10 11 and 12 which have the same triangular function series item only the coefficients of items z i−1 i = 12…6 of the three formulae of k m F textI1mn zk n F textI2mn z and F textI3mn z must be the same as the corresponding equations the consistency of three equations can be simultaneously true
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