Symmetric Galerkin boundary element method in elastodynamic analysis
The present research aims to implement the Symmetric Galerkin Boundary Element Method (SGBEM) for 2-dimensional elastodynamic problems. The SGBEM employs both the displacement integral equation and the traction integral equation which lead to a matrix equation with completely symmetric coefficients....
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sg-ntu-dr.10356-121582023-03-03T19:35:32Z Symmetric Galerkin boundary element method in elastodynamic analysis Yuan, Weifeng. Zhao, Zhiye School of Civil and Environmental Engineering DRNTU::Engineering::Mathematics and analysis The present research aims to implement the Symmetric Galerkin Boundary Element Method (SGBEM) for 2-dimensional elastodynamic problems. The SGBEM employs both the displacement integral equation and the traction integral equation which lead to a matrix equation with completely symmetric coefficients. This research focuses the effective techniques in dealing with the strong and hypersingular integrals embedded in the SGBEM formulations. To achieve this goal, two versions of the SGBEM implementation are developed where different formulations are derived and various new schemes are proposed. Doctor of Philosophy (CEE) 2008-09-25T06:38:44Z 2008-09-25T06:38:44Z 2003 2003 Thesis http://hdl.handle.net/10356/12158 en Nanyang Technological University 148 p. application/pdf |
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DRNTU::Engineering::Mathematics and analysis Yuan, Weifeng. Symmetric Galerkin boundary element method in elastodynamic analysis |
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The present research aims to implement the Symmetric Galerkin Boundary Element Method (SGBEM) for 2-dimensional elastodynamic problems. The SGBEM employs both the displacement integral equation and the traction integral equation which lead to a matrix equation with completely symmetric coefficients. This research focuses the effective techniques in dealing with the strong and hypersingular integrals embedded in the SGBEM formulations. To achieve this goal, two versions of the SGBEM implementation are developed where different formulations are derived and various new schemes are proposed. |
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Zhao, Zhiye |
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Zhao, Zhiye Yuan, Weifeng. |
format |
Theses and Dissertations |
author |
Yuan, Weifeng. |
author_sort |
Yuan, Weifeng. |
title |
Symmetric Galerkin boundary element method in elastodynamic analysis |
title_short |
Symmetric Galerkin boundary element method in elastodynamic analysis |
title_full |
Symmetric Galerkin boundary element method in elastodynamic analysis |
title_fullStr |
Symmetric Galerkin boundary element method in elastodynamic analysis |
title_full_unstemmed |
Symmetric Galerkin boundary element method in elastodynamic analysis |
title_sort |
symmetric galerkin boundary element method in elastodynamic analysis |
publishDate |
2008 |
url |
http://hdl.handle.net/10356/12158 |
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1759857552496001024 |