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Numerical Simulation of Geotechnical Problems by Coupled Finite and Infinite Elements

Kemal Edip,Mihail Garevski,Christoph Butenweg,Vlatko Šešov,Julijana Cvetanovska,Igor Gjorgiev-2013-01-28-Journal of Civil Engineering and Architecture
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TL;DRAbstract

In geotechnical engineering, numerical simulation of problems is of great importance. This work proposes a new formulation of coupled finite-infinite elements which can be used in numerical simulation of geotechnical problems in both static and dynamic conditions. Formulation and various implementation aspects of the proposed coupled finite-infinite elements are carefully discussed. To the authors' knowledge, this approach that considers coupled finite-infinite elements is more efficient in the sense that appropriate and accurate results are obtained by using less elements. The accuracy and efficiency of the proposed approach is considered by comparing the obtained results with analytical and numerical results. In a static case, the problem of circular domain of infinite length is considered. In a dynamic case, one dimensional wave propagation problems arising from the Heaviside step function and impulse functions are considered. In order to get a more complete picture, two dimensional

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In geotechnical engineering, numerical simulation of problems is of great importance. This work proposes a new formulation of coupled finite-infinite elements which can be used in numerical simulation of geotechnical problems in both static and dynamic conditions. Formulation and various implementation aspects of the proposed coupled finite-infinite elements are carefully discussed. To the authors' knowledge, this approach that considers coupled finite-infinite elements is more efficient in the sense that appropriate and accurate results are obtained by using less elements. The accuracy and efficiency of the proposed approach is considered by comparing the obtained results with analytical and numerical results. In a static case, the problem of circular domain of infinite length is considered. In a dynamic case, one dimensional wave propagation problems arising from the Heaviside step function and impulse functions are considered. In order to get a more complete picture, two dimensional

Keywords

Finite element methodGeotechnical engineeringGeologyEngineeringStructural engineering

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