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This paper extends the modified scaled boundary finite element method (SBFEM) to analyse the static behaviors of the complex model with rigid bedrock. In this method, the original scaling center is replaced by scaling line, which makes the proposed method be very suitable for analyzing the horizontal multilayered soil model. The displacement governing equation is obtained by introducing the dual variables in the Hamilton system. This new derivation approach for the modified SBFEM is firstly investigated. Meanwhile, the derivation process is greatly concise and straightforward by introducing the dual vectors. The displacement equation is transformed into an equivalent system of nonlinear first order differential equation. The static stiffness equation is a standard algebraic Riccati equation which can be solved directly. By coupling with the nearfield, the global static governing equation of the horizontal layered unbounded domain is obtained. By that, the accurate global displacement of the modified SBFEM can be solved. In order to model the inclined model, the sub-structure method is presented. Numerical examples demonstrate the accuracy and wide applicability of the proposed method for the complex multilayered model.
This paper extends the modified scaled boundary finite element method (SBFEM) to analyse the static behaviors of the complex model with rigid bedrock. In this method, the original scaling center is replaced by scaling line, which makes the proposed method be very suitable for analyzing the horizontal multilayered soil model. The displacement governing equation is obtained by introducing the dual variables in the Hamilton system. This new derivation approach for the modified SBFEM is firstly investigated. Meanwhile, the derivation process is greatly concise and straightforward by introducing the dual vectors. The displacement equation is transformed into an equivalent system of nonlinear first order differential equation. The static stiffness equation is a standard algebraic Riccati equation which can be solved directly. By coupling with the nearfield, the global static governing equation of the horizontal layered unbounded domain is obtained. By that, the accurate global displacement of the modified SBFEM can be solved. In order to model the inclined model, the sub-structure method is presented. Numerical examples demonstrate the accuracy and wide applicability of the proposed method for the complex multilayered model.
Static analysis of the complex multilayered soil field using the modified scaled boundary finite element method
European Journal of Environmental and Civil Engineering ; 22 ; 1161-1195
2018-10-03
35 pages
Article (Journal)
Electronic Resource
English
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