A Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-Spaces
The problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. Using the advantage of representation of displacement fields in terms of two complete scalar potential...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Tehran Press
2016-12-01
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| Series: | Civil Engineering Infrastructures Journal |
| Subjects: | |
| Online Access: | https://ceij.ut.ac.ir/article_59631_5394b00c48cf7b3c893a4ac12a89b44b.pdf |
| _version_ | 1811344014114291712 |
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| author | Mehdi Raoofian Naeeni Morteza Eskandari-Ghadi |
| author_facet | Mehdi Raoofian Naeeni Morteza Eskandari-Ghadi |
| author_sort | Mehdi Raoofian Naeeni |
| collection | DOAJ |
| description | The problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. Using the advantage of representation of displacement fields in terms of two complete scalar potential functions, the coupled equations of motion are uncoupled and reduced to two independent equations for potential functions. In this paper, the secular equations for determination of body and surface wave velocities are derived in terms of both elasticity coefficients and the direction of propagation. In particular, the longitudinal, transverse and Rayleigh wave velocities are determined in explicit forms. It is also shown that in transversely isotropic materials, a Rayleigh wave may propagate in different manner from that of isotropic materials. Some numerical results for synthetic transversely isotropic materials are also illustrated to show the behavior of wave motion due to anisotropic nature of the problem. |
| first_indexed | 2024-04-13T19:38:52Z |
| format | Article |
| id | doaj.art-8b2600d3014d416f9aeacb15a0b8cb67 |
| institution | Directory Open Access Journal |
| issn | 2322-2093 2423-6691 |
| language | English |
| last_indexed | 2024-04-13T19:38:52Z |
| publishDate | 2016-12-01 |
| publisher | University of Tehran Press |
| record_format | Article |
| series | Civil Engineering Infrastructures Journal |
| spelling | doaj.art-8b2600d3014d416f9aeacb15a0b8cb672022-12-22T02:32:56ZengUniversity of Tehran PressCivil Engineering Infrastructures Journal2322-20932423-66912016-12-0149226328810.7508/ceij.2016.02.00659631A Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-SpacesMehdi Raoofian Naeeni0Morteza Eskandari-Ghadi1K. N. Toosi University of technology, Faculty of Geodesy and Geomatics.University of Tehran, Faculty of Civil Engineering.The problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. Using the advantage of representation of displacement fields in terms of two complete scalar potential functions, the coupled equations of motion are uncoupled and reduced to two independent equations for potential functions. In this paper, the secular equations for determination of body and surface wave velocities are derived in terms of both elasticity coefficients and the direction of propagation. In particular, the longitudinal, transverse and Rayleigh wave velocities are determined in explicit forms. It is also shown that in transversely isotropic materials, a Rayleigh wave may propagate in different manner from that of isotropic materials. Some numerical results for synthetic transversely isotropic materials are also illustrated to show the behavior of wave motion due to anisotropic nature of the problem.https://ceij.ut.ac.ir/article_59631_5394b00c48cf7b3c893a4ac12a89b44b.pdfp-waverayleigh wavescalar potential functionsh-wavesv-wavetransverse isotropy |
| spellingShingle | Mehdi Raoofian Naeeni Morteza Eskandari-Ghadi A Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-Spaces Civil Engineering Infrastructures Journal p-wave rayleigh wave scalar potential function sh-wave sv-wave transverse isotropy |
| title | A Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-Spaces |
| title_full | A Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-Spaces |
| title_fullStr | A Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-Spaces |
| title_full_unstemmed | A Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-Spaces |
| title_short | A Potential Method for Body and Surface Wave Propagation in Transversely Isotropic Half- and Full-Spaces |
| title_sort | potential method for body and surface wave propagation in transversely isotropic half and full spaces |
| topic | p-wave rayleigh wave scalar potential function sh-wave sv-wave transverse isotropy |
| url | https://ceij.ut.ac.ir/article_59631_5394b00c48cf7b3c893a4ac12a89b44b.pdf |
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