Homogenization of very rough interfaces separating two piezoelectric solids
Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Vinh, Pham Chi [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Wien 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 224(2013), 5 vom: 12. Jan., Seite 1077-1088 |
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| Übergeordnetes Werk: |
volume:224 ; year:2013 ; number:5 ; day:12 ; month:01 ; pages:1077-1088 |
| Links: |
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| DOI / URN: |
10.1007/s00707-012-0804-z |
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| Katalog-ID: |
OLC2030138320 |
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| 520 | |a Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications. | ||
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10.1007/s00707-012-0804-z doi (DE-627)OLC2030138320 (DE-He213)s00707-012-0804-z-p DE-627 ger DE-627 rakwb eng 530 VZ Vinh, Pham Chi verfasserin aut Homogenization of very rough interfaces separating two piezoelectric solids 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications. Rayleigh Wave Component Form Parallel Straight Line Rough Interface Rough Boundary Tung, Do Xuan aut Enthalten in Acta mechanica Springer Vienna, 1965 224(2013), 5 vom: 12. Jan., Seite 1077-1088 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:224 year:2013 number:5 day:12 month:01 pages:1077-1088 https://doi.org/10.1007/s00707-012-0804-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 224 2013 5 12 01 1077-1088 |
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10.1007/s00707-012-0804-z doi (DE-627)OLC2030138320 (DE-He213)s00707-012-0804-z-p DE-627 ger DE-627 rakwb eng 530 VZ Vinh, Pham Chi verfasserin aut Homogenization of very rough interfaces separating two piezoelectric solids 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications. Rayleigh Wave Component Form Parallel Straight Line Rough Interface Rough Boundary Tung, Do Xuan aut Enthalten in Acta mechanica Springer Vienna, 1965 224(2013), 5 vom: 12. Jan., Seite 1077-1088 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:224 year:2013 number:5 day:12 month:01 pages:1077-1088 https://doi.org/10.1007/s00707-012-0804-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 224 2013 5 12 01 1077-1088 |
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10.1007/s00707-012-0804-z doi (DE-627)OLC2030138320 (DE-He213)s00707-012-0804-z-p DE-627 ger DE-627 rakwb eng 530 VZ Vinh, Pham Chi verfasserin aut Homogenization of very rough interfaces separating two piezoelectric solids 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications. Rayleigh Wave Component Form Parallel Straight Line Rough Interface Rough Boundary Tung, Do Xuan aut Enthalten in Acta mechanica Springer Vienna, 1965 224(2013), 5 vom: 12. Jan., Seite 1077-1088 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:224 year:2013 number:5 day:12 month:01 pages:1077-1088 https://doi.org/10.1007/s00707-012-0804-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 224 2013 5 12 01 1077-1088 |
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10.1007/s00707-012-0804-z doi (DE-627)OLC2030138320 (DE-He213)s00707-012-0804-z-p DE-627 ger DE-627 rakwb eng 530 VZ Vinh, Pham Chi verfasserin aut Homogenization of very rough interfaces separating two piezoelectric solids 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications. Rayleigh Wave Component Form Parallel Straight Line Rough Interface Rough Boundary Tung, Do Xuan aut Enthalten in Acta mechanica Springer Vienna, 1965 224(2013), 5 vom: 12. Jan., Seite 1077-1088 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:224 year:2013 number:5 day:12 month:01 pages:1077-1088 https://doi.org/10.1007/s00707-012-0804-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 224 2013 5 12 01 1077-1088 |
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10.1007/s00707-012-0804-z doi (DE-627)OLC2030138320 (DE-He213)s00707-012-0804-z-p DE-627 ger DE-627 rakwb eng 530 VZ Vinh, Pham Chi verfasserin aut Homogenization of very rough interfaces separating two piezoelectric solids 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications. Rayleigh Wave Component Form Parallel Straight Line Rough Interface Rough Boundary Tung, Do Xuan aut Enthalten in Acta mechanica Springer Vienna, 1965 224(2013), 5 vom: 12. Jan., Seite 1077-1088 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:224 year:2013 number:5 day:12 month:01 pages:1077-1088 https://doi.org/10.1007/s00707-012-0804-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 224 2013 5 12 01 1077-1088 |
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Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications. © Springer-Verlag Wien 2013 |
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Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications. © Springer-Verlag Wien 2013 |
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Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications. © Springer-Verlag Wien 2013 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2030138320</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502143240.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2013 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00707-012-0804-z</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2030138320</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00707-012-0804-z-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Vinh, Pham Chi</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Homogenization of very rough interfaces separating two piezoelectric solids</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2013</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag Wien 2013</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are then written down in component form for some specific cases. 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