Numerical Modelling of Foundation Slabs with use of Schur Complement Method

World Multidisciplinary Civil Engineering-Architecture-Urban Planning Symposium - WMCAUS

土木建筑工程

Koktan, Jií^1 ; Broovský, Jií^1

VSB-Technical University of Ostrava, Faculty of Civil Engineering, Ludvíka Podét 1875/17, Ostrava

CZ-708 33, Czech Republic^1

关键词: Contact modeling;    Finite element meshes;    Foundation slab;    Multi-parameter models;    Numerical approaches;    Numerical procedures;    Parallel processing;    Schur complement method;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/245/2/022079/pdf
DOI  :  10.1088/1757-899X/245/2/022079

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

The paper discusses numerical modelling of foundation slabs with use of advanced numerical approaches, which are suitable for parallel processing. The solution is based on the Finite Element Method with the slab-type elements. The subsoil is modelled with use of Winklertype contact model (as an alternative a multi-parameter model can be used). The proposed modelling approach uses the Schur Complement method to speed-up the computations of the problem. The method is based on a special division of the analyzed model to several substructures. It adds some complexity to the numerical procedures, especially when subsoil models are used inside the finite element method solution. In other hand, this method makes possible a fast solution of large models but it introduces further problems to the process. Thus, the main aim of this paper is to verify that such method can be successfully used for this type of problem. The most suitable finite elements will be discussed, there will be also discussion related to finite element mesh and limitations of its construction for such problem. The core approaches of the implementation of the Schur Complement Method for this type of the problem will be also presented. The proposed approach was implemented in the form of a computer program, which will be also briefly introduced. There will be also presented results of example computations, which prove the speed-up of the solution - there will be shown important speed-up of solution even in the case of on-parallel processing and the ability of bypass size limitations of numerical models with use of the discussed approach.