A new development of the scaled boundary finite element method for wave motion in layered half‐space

The scaled boundary finite element method (SBFEM) developed by Wolf and Song has shown certain parallels to the finite element method (FEM) and boundary element method (BEM). Because of its semi‐analytical nature, SBFEM is particularly suitable for the analysis of wave propagation in unbounded domai...

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Published in:International journal for numerical and analytical methods in geomechanics Vol. 46; no. 1; pp. 141 - 163
Main Authors: Li, Zhi‐yuan, Lin, Gao, Hu, Zhi‐qiang, Ye, Wen‐Bin
Format: Journal Article
Language:English
Published: Bognor Regis Wiley Subscription Services, Inc 01.01.2022
Subjects:
Boundary element method
Computer applications
dynamic impedance
Finite element analysis
Finite element method
layered half‐space
Mathematical analysis
Propagation
scaled boundary finite element method
Scaling
scaling surface
Shells (structural forms)
Wave analysis
Wave motion
Wave propagation
Waves
ISSN:0363-9061, 1096-9853
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Abstract The scaled boundary finite element method (SBFEM) developed by Wolf and Song has shown certain parallels to the finite element method (FEM) and boundary element method (BEM). Because of its semi‐analytical nature, SBFEM is particularly suitable for the analysis of wave propagation in unbounded domains. This paper makes a certain modification of the standard SBFEM. A new idea of scaling surface instead of a scaling center is introduced to formulate the governing SBFE equations for the analysis of wave propagation in multilayered half‐space, which leads to simplifying the modeling and saving considerably the computational effort. In addition, by employing the proposed approach, some problems encountered in engineering practice, which are difficult to deal with by the conventional SBFEM, for example, 3D foundation impedance on half‐space with irregular geographical features, can be effectively solved. The proposed approach also helps to simplify the solution of shell structures. Numerical examples are provided to validate the accuracy and efficiency of the proposed approach.
AbstractList The scaled boundary finite element method (SBFEM) developed by Wolf and Song has shown certain parallels to the finite element method (FEM) and boundary element method (BEM). Because of its semi‐analytical nature, SBFEM is particularly suitable for the analysis of wave propagation in unbounded domains. This paper makes a certain modification of the standard SBFEM. A new idea of scaling surface instead of a scaling center is introduced to formulate the governing SBFE equations for the analysis of wave propagation in multilayered half‐space, which leads to simplifying the modeling and saving considerably the computational effort. In addition, by employing the proposed approach, some problems encountered in engineering practice, which are difficult to deal with by the conventional SBFEM, for example, 3D foundation impedance on half‐space with irregular geographical features, can be effectively solved. The proposed approach also helps to simplify the solution of shell structures. Numerical examples are provided to validate the accuracy and efficiency of the proposed approach.
Author Lin, Gao
Ye, Wen‐Bin
Hu, Zhi‐qiang
Li, Zhi‐yuan
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  organization: Dalian University of Technology
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  fullname: Ye, Wen‐Bin
  organization: Dalian University of Technology
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Snippet The scaled boundary finite element method (SBFEM) developed by Wolf and Song has shown certain parallels to the finite element method (FEM) and boundary...
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SubjectTerms Boundary element method
Computer applications
dynamic impedance
Finite element analysis
Finite element method
layered half‐space
Mathematical analysis
Propagation
scaled boundary finite element method
Scaling
scaling surface
Shells (structural forms)
Wave analysis
Wave motion
Wave propagation
Waves
Title A new development of the scaled boundary finite element method for wave motion in layered half‐space
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