The finite element method applied to the analysis of tall structural codes. The development of compatible, self equilibriating and hybrid finite elements, and their application to 'plane shear wall' and 'core' problems of the type encountered in modern tall buildings.
AuthorBoot, John C.
KeywordFinite element method
Self equilibriating finite elements
Hybrid finite elements
Plane shear wall problems
The University of Bradford theses are licenced under a Creative Commons Licence.
InstitutionUniversity of Bradford
DepartmentPostgraduate School of Studies in Civil and Structural Engineering.
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Element failure probability of soil slope under consideration of random groundwater levelLi, Z.; Chen, Y.; Guo, Yakun; Zhang, X.; Du, S. (2021-07)The instability of soil slopes is directly related to both the shear parameters of the soil material and the groundwater, which usually causes some uncertainty. In this study, a novel method, the element failure probability method (EFP), is proposed to analyse the failure of soil slopes. Based on the upper bound theory, finite element discretization, and the stochastic programming theory, an upper bound stochastic programming model is established by simultaneously considering the randomness of shear parameters and groundwater level to analyse the reliability of slopes. The model is then solved by using the Monte-Carlo method based on the random shear parameters and groundwater levels. Finally, a formula is derived for the element failure probability (EFP) based on the safety factors and velocity fields of the upper bound method. The probability of a slope failure can be calculated by using the safety factor, and the distribution of failure regions in space can be determined by using the location information of the element. The proposed method is validated by using a classic example. This study has theoretical value for further research attempting to advance the application of plastic limit analysis to analyse slope reliability.