Rayleigh waves with impedance boundary conditions in anisotropic solids
The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For t...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Vinh, Pham Chi [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014transfer abstract |
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| Schlagwörter: |
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| Umfang: |
11 |
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| Übergeordnetes Werk: |
Enthalten in: Atomistic study of three-leg molecular devices - Mahmoud, Ahmed ELSEVIER, 2015, an international journal reporting research on wave phenomena, Amsterdam |
|---|---|
| Übergeordnetes Werk: |
volume:51 ; year:2014 ; number:7 ; pages:1082-1092 ; extent:11 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.wavemoti.2014.05.002 |
|---|
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ELV039206688 |
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| 520 | |a The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. | ||
| 520 | |a The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. | ||
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| 650 | 7 | |a Orthotropic |2 Elsevier | |
| 650 | 7 | |a Impedance boundary conditions |2 Elsevier | |
| 700 | 1 | |a Thanh Hue, Trinh Thi |4 oth | |
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10.1016/j.wavemoti.2014.05.002 doi GBVA2014004000020.pica (DE-627)ELV039206688 (ELSEVIER)S0165-2125(14)00064-X DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Vinh, Pham Chi verfasserin aut Rayleigh waves with impedance boundary conditions in anisotropic solids 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. Monoclinic Elsevier Explicit secular equation Elsevier Rayleigh waves Elsevier Orthotropic Elsevier Impedance boundary conditions Elsevier Thanh Hue, Trinh Thi oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:51 year:2014 number:7 pages:1082-1092 extent:11 https://doi.org/10.1016/j.wavemoti.2014.05.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 51 2014 7 1082-1092 11 045F 530 |
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10.1016/j.wavemoti.2014.05.002 doi GBVA2014004000020.pica (DE-627)ELV039206688 (ELSEVIER)S0165-2125(14)00064-X DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Vinh, Pham Chi verfasserin aut Rayleigh waves with impedance boundary conditions in anisotropic solids 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. Monoclinic Elsevier Explicit secular equation Elsevier Rayleigh waves Elsevier Orthotropic Elsevier Impedance boundary conditions Elsevier Thanh Hue, Trinh Thi oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:51 year:2014 number:7 pages:1082-1092 extent:11 https://doi.org/10.1016/j.wavemoti.2014.05.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 51 2014 7 1082-1092 11 045F 530 |
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10.1016/j.wavemoti.2014.05.002 doi GBVA2014004000020.pica (DE-627)ELV039206688 (ELSEVIER)S0165-2125(14)00064-X DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Vinh, Pham Chi verfasserin aut Rayleigh waves with impedance boundary conditions in anisotropic solids 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. Monoclinic Elsevier Explicit secular equation Elsevier Rayleigh waves Elsevier Orthotropic Elsevier Impedance boundary conditions Elsevier Thanh Hue, Trinh Thi oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:51 year:2014 number:7 pages:1082-1092 extent:11 https://doi.org/10.1016/j.wavemoti.2014.05.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 51 2014 7 1082-1092 11 045F 530 |
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10.1016/j.wavemoti.2014.05.002 doi GBVA2014004000020.pica (DE-627)ELV039206688 (ELSEVIER)S0165-2125(14)00064-X DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Vinh, Pham Chi verfasserin aut Rayleigh waves with impedance boundary conditions in anisotropic solids 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. Monoclinic Elsevier Explicit secular equation Elsevier Rayleigh waves Elsevier Orthotropic Elsevier Impedance boundary conditions Elsevier Thanh Hue, Trinh Thi oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:51 year:2014 number:7 pages:1082-1092 extent:11 https://doi.org/10.1016/j.wavemoti.2014.05.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 51 2014 7 1082-1092 11 045F 530 |
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10.1016/j.wavemoti.2014.05.002 doi GBVA2014004000020.pica (DE-627)ELV039206688 (ELSEVIER)S0165-2125(14)00064-X DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 540 VZ 35.00 bkl Vinh, Pham Chi verfasserin aut Rayleigh waves with impedance boundary conditions in anisotropic solids 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. Monoclinic Elsevier Explicit secular equation Elsevier Rayleigh waves Elsevier Orthotropic Elsevier Impedance boundary conditions Elsevier Thanh Hue, Trinh Thi oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:51 year:2014 number:7 pages:1082-1092 extent:11 https://doi.org/10.1016/j.wavemoti.2014.05.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 51 2014 7 1082-1092 11 045F 530 |
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Atomistic study of three-leg molecular devices |
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Atomistic study of three-leg molecular devices |
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Rayleigh waves with impedance boundary conditions in anisotropic solids |
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Rayleigh waves with impedance boundary conditions in anisotropic solids |
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Vinh, Pham Chi |
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Atomistic study of three-leg molecular devices |
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Vinh, Pham Chi |
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10.1016/j.wavemoti.2014.05.002 |
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530 670 540 |
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rayleigh waves with impedance boundary conditions in anisotropic solids |
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Rayleigh waves with impedance boundary conditions in anisotropic solids |
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The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. |
| abstractGer |
The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. |
| abstract_unstemmed |
The paper is concerned with the propagation of Rayleigh waves in an elastic half-space with impedance boundary conditions. The half-space is assumed to be orthotropic and monoclinic with the symmetry plane x 3 = 0 . The main aim of the paper is to derive explicit secular equations of the wave. For the orthotropic case, the secular equation is obtained by employing the traditional approach. It is an irrational equation. From this equation, a new version of the secular equation for isotropic materials is derived. For the monoclinic case, the method of polarization vector is used for deriving the secular equation and it is an algebraic equation of eighth-order. When the impedance parameters vanish, this equation coincides with the secular equation of Rayleigh waves with traction-free boundary conditions. |
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Rayleigh waves with impedance boundary conditions in anisotropic solids |
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https://doi.org/10.1016/j.wavemoti.2014.05.002 |
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Thanh Hue, Trinh Thi |
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