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The fundamental solution of poroelastic plate saturated by fluid and its applications
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| Zeitschriftentitel: | International Journal for Numerical and Analytical Methods in Geomechanics |
|---|---|
| Personen und Körperschaften: | , |
| In: | International Journal for Numerical and Analytical Methods in Geomechanics, 34, 2010, 7, S. 689-709 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Wiley
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| Schlagwörter: |
| author_facet |
Wen, P. H. Liu, Y. W. Wen, P. H. Liu, Y. W. |
|---|---|
| author |
Wen, P. H. Liu, Y. W. |
| spellingShingle |
Wen, P. H. Liu, Y. W. International Journal for Numerical and Analytical Methods in Geomechanics The fundamental solution of poroelastic plate saturated by fluid and its applications Mechanics of Materials Geotechnical Engineering and Engineering Geology General Materials Science Computational Mechanics |
| author_sort |
wen, p. h. |
| spelling |
Wen, P. H. Liu, Y. W. 0363-9061 1096-9853 Wiley Mechanics of Materials Geotechnical Engineering and Engineering Geology General Materials Science Computational Mechanics http://dx.doi.org/10.1002/nag.825 <jats:title>Abstract</jats:title><jats:p>In this paper, the numerical model of the transverse vibrations of a thin poroelastic plate saturated by a fluid was proposed. Two coupled dynamic equations of equilibrium related to the plate deflection and the equivalent moment were established for an isotropic porous medium with uniform porosity. The fundamental solutions for a porous plate were derived both in the Laplace transform domain and in the time domain. A meshless method was developed and demonstrated in the Laplace transform domain for solving two coupled dynamic equations. Numerical examples demonstrated the accuracy of the method of the fundamental solutions and comparisons were made with analytical solutions. The proposed meshless method was shown to be simple to implement and gave satisfactory results for a poroelastic plate dynamic analysis. Copyright © 2009 John Wiley & Sons, Ltd.</jats:p> The fundamental solution of poroelastic plate saturated by fluid and its applications International Journal for Numerical and Analytical Methods in Geomechanics |
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The fundamental solution of poroelastic plate saturated by fluid and its applications |
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The fundamental solution of poroelastic plate saturated by fluid and its applications |
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The fundamental solution of poroelastic plate saturated by fluid and its applications |
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The fundamental solution of poroelastic plate saturated by fluid and its applications |
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The fundamental solution of poroelastic plate saturated by fluid and its applications |
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The fundamental solution of poroelastic plate saturated by fluid and its applications |
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the fundamental solution of poroelastic plate saturated by fluid and its applications |
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Mechanics of Materials Geotechnical Engineering and Engineering Geology General Materials Science Computational Mechanics |
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2010 |
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<jats:title>Abstract</jats:title><jats:p>In this paper, the numerical model of the transverse vibrations of a thin poroelastic plate saturated by a fluid was proposed. Two coupled dynamic equations of equilibrium related to the plate deflection and the equivalent moment were established for an isotropic porous medium with uniform porosity. The fundamental solutions for a porous plate were derived both in the Laplace transform domain and in the time domain. A meshless method was developed and demonstrated in the Laplace transform domain for solving two coupled dynamic equations. Numerical examples demonstrated the accuracy of the method of the fundamental solutions and comparisons were made with analytical solutions. The proposed meshless method was shown to be simple to implement and gave satisfactory results for a poroelastic plate dynamic analysis. Copyright © 2009 John Wiley & Sons, Ltd.</jats:p> |
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| description | <jats:title>Abstract</jats:title><jats:p>In this paper, the numerical model of the transverse vibrations of a thin poroelastic plate saturated by a fluid was proposed. Two coupled dynamic equations of equilibrium related to the plate deflection and the equivalent moment were established for an isotropic porous medium with uniform porosity. The fundamental solutions for a porous plate were derived both in the Laplace transform domain and in the time domain. A meshless method was developed and demonstrated in the Laplace transform domain for solving two coupled dynamic equations. Numerical examples demonstrated the accuracy of the method of the fundamental solutions and comparisons were made with analytical solutions. The proposed meshless method was shown to be simple to implement and gave satisfactory results for a poroelastic plate dynamic analysis. Copyright © 2009 John Wiley & Sons, Ltd.</jats:p> |
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| spelling | Wen, P. H. Liu, Y. W. 0363-9061 1096-9853 Wiley Mechanics of Materials Geotechnical Engineering and Engineering Geology General Materials Science Computational Mechanics http://dx.doi.org/10.1002/nag.825 <jats:title>Abstract</jats:title><jats:p>In this paper, the numerical model of the transverse vibrations of a thin poroelastic plate saturated by a fluid was proposed. Two coupled dynamic equations of equilibrium related to the plate deflection and the equivalent moment were established for an isotropic porous medium with uniform porosity. The fundamental solutions for a porous plate were derived both in the Laplace transform domain and in the time domain. A meshless method was developed and demonstrated in the Laplace transform domain for solving two coupled dynamic equations. Numerical examples demonstrated the accuracy of the method of the fundamental solutions and comparisons were made with analytical solutions. The proposed meshless method was shown to be simple to implement and gave satisfactory results for a poroelastic plate dynamic analysis. Copyright © 2009 John Wiley & Sons, Ltd.</jats:p> The fundamental solution of poroelastic plate saturated by fluid and its applications International Journal for Numerical and Analytical Methods in Geomechanics |
| spellingShingle | Wen, P. H., Liu, Y. W., International Journal for Numerical and Analytical Methods in Geomechanics, The fundamental solution of poroelastic plate saturated by fluid and its applications, Mechanics of Materials, Geotechnical Engineering and Engineering Geology, General Materials Science, Computational Mechanics |
| title | The fundamental solution of poroelastic plate saturated by fluid and its applications |
| title_full | The fundamental solution of poroelastic plate saturated by fluid and its applications |
| title_fullStr | The fundamental solution of poroelastic plate saturated by fluid and its applications |
| title_full_unstemmed | The fundamental solution of poroelastic plate saturated by fluid and its applications |
| title_short | The fundamental solution of poroelastic plate saturated by fluid and its applications |
| title_sort | the fundamental solution of poroelastic plate saturated by fluid and its applications |
| title_unstemmed | The fundamental solution of poroelastic plate saturated by fluid and its applications |
| topic | Mechanics of Materials, Geotechnical Engineering and Engineering Geology, General Materials Science, Computational Mechanics |
| url | http://dx.doi.org/10.1002/nag.825 |