Elasticity solutions for functionally graded annular plates subject to biharmonic loads
Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to var...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yang, B. [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 Berlin Heidelberg 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Springer Berlin Heidelberg, 1991, 84(2013), 1 vom: 26. Sept., Seite 51-65 |
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| Übergeordnetes Werk: |
volume:84 ; year:2013 ; number:1 ; day:26 ; month:09 ; pages:51-65 |
| Links: |
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| DOI / URN: |
10.1007/s00419-013-0782-1 |
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OLC2071055969 |
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| 520 | |a Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to vary along the thickness direction in an arbitrary fashion. The problem is converted to determine the expressions of four analytic functions α (ζ), β (ζ), ϕ (ζ) and ψ (ζ) under certain boundary conditions. A series of simple and practical biharmonic loads are presented. The four analytic functions are constructed carefully in a biconnected annular region corresponding to the presented loads, which guarantee the single-valuedness of the mid-plane displacements of the plate. The unknown constants contained in the analytic functions can be determined from the boundary conditions that are similar to those in the plane elasticity as well as those in the classical plate theory. Numerical examples show that the material gradient index and boundary conditions have a significant influence on the elastic field. | ||
| 650 | 4 | |a Functionally graded materials | |
| 650 | 4 | |a Annular plates | |
| 650 | 4 | |a Transversely isotropic | |
| 650 | 4 | |a Biharmonic load | |
| 650 | 4 | |a Elasticity solutions | |
| 700 | 1 | |a Chen, W. Q. |4 aut | |
| 700 | 1 | |a Ding, H. J. |4 aut | |
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10.1007/s00419-013-0782-1 doi (DE-627)OLC2071055969 (DE-He213)s00419-013-0782-1-p DE-627 ger DE-627 rakwb eng 690 VZ Yang, B. verfasserin aut Elasticity solutions for functionally graded annular plates subject to biharmonic loads 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to vary along the thickness direction in an arbitrary fashion. The problem is converted to determine the expressions of four analytic functions α (ζ), β (ζ), ϕ (ζ) and ψ (ζ) under certain boundary conditions. A series of simple and practical biharmonic loads are presented. The four analytic functions are constructed carefully in a biconnected annular region corresponding to the presented loads, which guarantee the single-valuedness of the mid-plane displacements of the plate. The unknown constants contained in the analytic functions can be determined from the boundary conditions that are similar to those in the plane elasticity as well as those in the classical plate theory. Numerical examples show that the material gradient index and boundary conditions have a significant influence on the elastic field. Functionally graded materials Annular plates Transversely isotropic Biharmonic load Elasticity solutions Chen, W. Q. aut Ding, H. J. aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 84(2013), 1 vom: 26. Sept., Seite 51-65 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:84 year:2013 number:1 day:26 month:09 pages:51-65 https://doi.org/10.1007/s00419-013-0782-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 84 2013 1 26 09 51-65 |
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10.1007/s00419-013-0782-1 doi (DE-627)OLC2071055969 (DE-He213)s00419-013-0782-1-p DE-627 ger DE-627 rakwb eng 690 VZ Yang, B. verfasserin aut Elasticity solutions for functionally graded annular plates subject to biharmonic loads 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to vary along the thickness direction in an arbitrary fashion. The problem is converted to determine the expressions of four analytic functions α (ζ), β (ζ), ϕ (ζ) and ψ (ζ) under certain boundary conditions. A series of simple and practical biharmonic loads are presented. The four analytic functions are constructed carefully in a biconnected annular region corresponding to the presented loads, which guarantee the single-valuedness of the mid-plane displacements of the plate. The unknown constants contained in the analytic functions can be determined from the boundary conditions that are similar to those in the plane elasticity as well as those in the classical plate theory. Numerical examples show that the material gradient index and boundary conditions have a significant influence on the elastic field. Functionally graded materials Annular plates Transversely isotropic Biharmonic load Elasticity solutions Chen, W. Q. aut Ding, H. J. aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 84(2013), 1 vom: 26. Sept., Seite 51-65 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:84 year:2013 number:1 day:26 month:09 pages:51-65 https://doi.org/10.1007/s00419-013-0782-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 84 2013 1 26 09 51-65 |
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10.1007/s00419-013-0782-1 doi (DE-627)OLC2071055969 (DE-He213)s00419-013-0782-1-p DE-627 ger DE-627 rakwb eng 690 VZ Yang, B. verfasserin aut Elasticity solutions for functionally graded annular plates subject to biharmonic loads 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to vary along the thickness direction in an arbitrary fashion. The problem is converted to determine the expressions of four analytic functions α (ζ), β (ζ), ϕ (ζ) and ψ (ζ) under certain boundary conditions. A series of simple and practical biharmonic loads are presented. The four analytic functions are constructed carefully in a biconnected annular region corresponding to the presented loads, which guarantee the single-valuedness of the mid-plane displacements of the plate. The unknown constants contained in the analytic functions can be determined from the boundary conditions that are similar to those in the plane elasticity as well as those in the classical plate theory. Numerical examples show that the material gradient index and boundary conditions have a significant influence on the elastic field. Functionally graded materials Annular plates Transversely isotropic Biharmonic load Elasticity solutions Chen, W. Q. aut Ding, H. J. aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 84(2013), 1 vom: 26. Sept., Seite 51-65 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:84 year:2013 number:1 day:26 month:09 pages:51-65 https://doi.org/10.1007/s00419-013-0782-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 84 2013 1 26 09 51-65 |
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10.1007/s00419-013-0782-1 doi (DE-627)OLC2071055969 (DE-He213)s00419-013-0782-1-p DE-627 ger DE-627 rakwb eng 690 VZ Yang, B. verfasserin aut Elasticity solutions for functionally graded annular plates subject to biharmonic loads 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to vary along the thickness direction in an arbitrary fashion. The problem is converted to determine the expressions of four analytic functions α (ζ), β (ζ), ϕ (ζ) and ψ (ζ) under certain boundary conditions. A series of simple and practical biharmonic loads are presented. The four analytic functions are constructed carefully in a biconnected annular region corresponding to the presented loads, which guarantee the single-valuedness of the mid-plane displacements of the plate. The unknown constants contained in the analytic functions can be determined from the boundary conditions that are similar to those in the plane elasticity as well as those in the classical plate theory. Numerical examples show that the material gradient index and boundary conditions have a significant influence on the elastic field. Functionally graded materials Annular plates Transversely isotropic Biharmonic load Elasticity solutions Chen, W. Q. aut Ding, H. J. aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 84(2013), 1 vom: 26. Sept., Seite 51-65 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:84 year:2013 number:1 day:26 month:09 pages:51-65 https://doi.org/10.1007/s00419-013-0782-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 84 2013 1 26 09 51-65 |
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10.1007/s00419-013-0782-1 doi (DE-627)OLC2071055969 (DE-He213)s00419-013-0782-1-p DE-627 ger DE-627 rakwb eng 690 VZ Yang, B. verfasserin aut Elasticity solutions for functionally graded annular plates subject to biharmonic loads 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2013 Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to vary along the thickness direction in an arbitrary fashion. The problem is converted to determine the expressions of four analytic functions α (ζ), β (ζ), ϕ (ζ) and ψ (ζ) under certain boundary conditions. A series of simple and practical biharmonic loads are presented. The four analytic functions are constructed carefully in a biconnected annular region corresponding to the presented loads, which guarantee the single-valuedness of the mid-plane displacements of the plate. The unknown constants contained in the analytic functions can be determined from the boundary conditions that are similar to those in the plane elasticity as well as those in the classical plate theory. Numerical examples show that the material gradient index and boundary conditions have a significant influence on the elastic field. Functionally graded materials Annular plates Transversely isotropic Biharmonic load Elasticity solutions Chen, W. Q. aut Ding, H. J. aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 84(2013), 1 vom: 26. Sept., Seite 51-65 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:84 year:2013 number:1 day:26 month:09 pages:51-65 https://doi.org/10.1007/s00419-013-0782-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 84 2013 1 26 09 51-65 |
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Elasticity solutions for functionally graded annular plates subject to biharmonic loads |
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Elasticity solutions for functionally graded annular plates subject to biharmonic loads |
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Yang, B. |
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Archive of applied mechanics |
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2013 |
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Yang, B. Chen, W. Q. Ding, H. J. |
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10.1007/s00419-013-0782-1 |
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690 |
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elasticity solutions for functionally graded annular plates subject to biharmonic loads |
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Elasticity solutions for functionally graded annular plates subject to biharmonic loads |
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Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to vary along the thickness direction in an arbitrary fashion. The problem is converted to determine the expressions of four analytic functions α (ζ), β (ζ), ϕ (ζ) and ψ (ζ) under certain boundary conditions. A series of simple and practical biharmonic loads are presented. The four analytic functions are constructed carefully in a biconnected annular region corresponding to the presented loads, which guarantee the single-valuedness of the mid-plane displacements of the plate. The unknown constants contained in the analytic functions can be determined from the boundary conditions that are similar to those in the plane elasticity as well as those in the classical plate theory. Numerical examples show that the material gradient index and boundary conditions have a significant influence on the elastic field. © Springer-Verlag Berlin Heidelberg 2013 |
| abstractGer |
Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to vary along the thickness direction in an arbitrary fashion. The problem is converted to determine the expressions of four analytic functions α (ζ), β (ζ), ϕ (ζ) and ψ (ζ) under certain boundary conditions. A series of simple and practical biharmonic loads are presented. The four analytic functions are constructed carefully in a biconnected annular region corresponding to the presented loads, which guarantee the single-valuedness of the mid-plane displacements of the plate. The unknown constants contained in the analytic functions can be determined from the boundary conditions that are similar to those in the plane elasticity as well as those in the classical plate theory. Numerical examples show that the material gradient index and boundary conditions have a significant influence on the elastic field. © Springer-Verlag Berlin Heidelberg 2013 |
| abstract_unstemmed |
Abstract Based on England’s expansion formula for displacements, the elastic field in a transversely isotropic functionally graded annular plate subjected to biharmonic transverse forces on its top surface is investigated using the complex variables method. The material parameters are assumed to vary along the thickness direction in an arbitrary fashion. The problem is converted to determine the expressions of four analytic functions α (ζ), β (ζ), ϕ (ζ) and ψ (ζ) under certain boundary conditions. A series of simple and practical biharmonic loads are presented. The four analytic functions are constructed carefully in a biconnected annular region corresponding to the presented loads, which guarantee the single-valuedness of the mid-plane displacements of the plate. The unknown constants contained in the analytic functions can be determined from the boundary conditions that are similar to those in the plane elasticity as well as those in the classical plate theory. Numerical examples show that the material gradient index and boundary conditions have a significant influence on the elastic field. © Springer-Verlag Berlin Heidelberg 2013 |
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Elasticity solutions for functionally graded annular plates subject to biharmonic loads |
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