Calculation of simply supported circular plates in the statement of the problem of contact interaction in a package of two plates
Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates wit...
Ausführliche Beschreibung
Autor*in: |
Zubko, V. I. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2007 |
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Schlagwörter: |
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Anmerkung: |
© Springer Science+Business Media, Inc. 2007 |
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Übergeordnetes Werk: |
Enthalten in: Mechanics of composite materials - Springer US, 1980, 43(2007), 5 vom: Sept., Seite 409-418 |
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Übergeordnetes Werk: |
volume:43 ; year:2007 ; number:5 ; month:09 ; pages:409-418 |
Links: |
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DOI / URN: |
10.1007/s11029-007-0038-7 |
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Katalog-ID: |
OLC2081297388 |
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520 | |a Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed. | ||
650 | 4 | |a transversely isotropic plate | |
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650 | 4 | |a conditions of rigid contact | |
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10.1007/s11029-007-0038-7 doi (DE-627)OLC2081297388 (DE-He213)s11029-007-0038-7-p DE-627 ger DE-627 rakwb eng 540 VZ Zubko, V. I. verfasserin aut Calculation of simply supported circular plates in the statement of the problem of contact interaction in a package of two plates 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed. transversely isotropic plate package of plates conditions of rigid contact contact stresses stress-strain state Shopa, V. M. aut Enthalten in Mechanics of composite materials Springer US, 1980 43(2007), 5 vom: Sept., Seite 409-418 (DE-627)130525332 (DE-600)771508-0 (DE-576)9130525330 0191-5665 nnns volume:43 year:2007 number:5 month:09 pages:409-418 https://doi.org/10.1007/s11029-007-0038-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA GBV_ILN_70 AR 43 2007 5 09 409-418 |
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10.1007/s11029-007-0038-7 doi (DE-627)OLC2081297388 (DE-He213)s11029-007-0038-7-p DE-627 ger DE-627 rakwb eng 540 VZ Zubko, V. I. verfasserin aut Calculation of simply supported circular plates in the statement of the problem of contact interaction in a package of two plates 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed. transversely isotropic plate package of plates conditions of rigid contact contact stresses stress-strain state Shopa, V. M. aut Enthalten in Mechanics of composite materials Springer US, 1980 43(2007), 5 vom: Sept., Seite 409-418 (DE-627)130525332 (DE-600)771508-0 (DE-576)9130525330 0191-5665 nnns volume:43 year:2007 number:5 month:09 pages:409-418 https://doi.org/10.1007/s11029-007-0038-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA GBV_ILN_70 AR 43 2007 5 09 409-418 |
allfields_unstemmed |
10.1007/s11029-007-0038-7 doi (DE-627)OLC2081297388 (DE-He213)s11029-007-0038-7-p DE-627 ger DE-627 rakwb eng 540 VZ Zubko, V. I. verfasserin aut Calculation of simply supported circular plates in the statement of the problem of contact interaction in a package of two plates 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed. transversely isotropic plate package of plates conditions of rigid contact contact stresses stress-strain state Shopa, V. M. aut Enthalten in Mechanics of composite materials Springer US, 1980 43(2007), 5 vom: Sept., Seite 409-418 (DE-627)130525332 (DE-600)771508-0 (DE-576)9130525330 0191-5665 nnns volume:43 year:2007 number:5 month:09 pages:409-418 https://doi.org/10.1007/s11029-007-0038-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA GBV_ILN_70 AR 43 2007 5 09 409-418 |
allfieldsGer |
10.1007/s11029-007-0038-7 doi (DE-627)OLC2081297388 (DE-He213)s11029-007-0038-7-p DE-627 ger DE-627 rakwb eng 540 VZ Zubko, V. I. verfasserin aut Calculation of simply supported circular plates in the statement of the problem of contact interaction in a package of two plates 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed. transversely isotropic plate package of plates conditions of rigid contact contact stresses stress-strain state Shopa, V. M. aut Enthalten in Mechanics of composite materials Springer US, 1980 43(2007), 5 vom: Sept., Seite 409-418 (DE-627)130525332 (DE-600)771508-0 (DE-576)9130525330 0191-5665 nnns volume:43 year:2007 number:5 month:09 pages:409-418 https://doi.org/10.1007/s11029-007-0038-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA GBV_ILN_70 AR 43 2007 5 09 409-418 |
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10.1007/s11029-007-0038-7 doi (DE-627)OLC2081297388 (DE-He213)s11029-007-0038-7-p DE-627 ger DE-627 rakwb eng 540 VZ Zubko, V. I. verfasserin aut Calculation of simply supported circular plates in the statement of the problem of contact interaction in a package of two plates 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed. transversely isotropic plate package of plates conditions of rigid contact contact stresses stress-strain state Shopa, V. M. aut Enthalten in Mechanics of composite materials Springer US, 1980 43(2007), 5 vom: Sept., Seite 409-418 (DE-627)130525332 (DE-600)771508-0 (DE-576)9130525330 0191-5665 nnns volume:43 year:2007 number:5 month:09 pages:409-418 https://doi.org/10.1007/s11029-007-0038-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-CHE SSG-OLC-PHA GBV_ILN_70 AR 43 2007 5 09 409-418 |
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Calculation of simply supported circular plates in the statement of the problem of contact interaction in a package of two plates |
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Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed. © Springer Science+Business Media, Inc. 2007 |
abstractGer |
Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed. © Springer Science+Business Media, Inc. 2007 |
abstract_unstemmed |
Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed. © Springer Science+Business Media, Inc. 2007 |
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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">OLC2081297388</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230624203134.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230227s2007 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11029-007-0038-7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2081297388</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11029-007-0038-7-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">540</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zubko, V. I.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Calculation of simply supported circular plates in the statement of the problem of contact interaction in a package of two plates</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2007</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 Science+Business Media, Inc. 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The possibility of applying the mechanicomathematical model of bending of a package of transversely isotropic plates to approximate calculations of thick plates is investigated. Within the frame work of this model, the problem of axisymmetric bending of a package of two identical plates with simply supported edges is considered. The conditions of rigid contact are given between the plates. Based on the analytical result obtained, the unknown distribution of stresses and displacements across the thickness of the plate is approximated by the distribution of corresponding parameters in the package of two plates. For an isotropic body, the results of numerical calculations are compared with those given by the 3D theory of elasticity. In the case of a transversely isotropic body, a comparison with the results found by the refined bending model of plates (taking into account the transverse compression and shear) and the Timoshenko model is carried out. The accuracy to which the boundary conditions in every model are satisfied is analyzed.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">transversely isotropic plate</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">package of plates</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">conditions of rigid contact</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">contact stresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">stress-strain state</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shopa, V. M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Mechanics of composite materials</subfield><subfield code="d">Springer US, 1980</subfield><subfield code="g">43(2007), 5 vom: Sept., Seite 409-418</subfield><subfield code="w">(DE-627)130525332</subfield><subfield code="w">(DE-600)771508-0</subfield><subfield code="w">(DE-576)9130525330</subfield><subfield code="x">0191-5665</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:43</subfield><subfield code="g">year:2007</subfield><subfield code="g">number:5</subfield><subfield code="g">month:09</subfield><subfield code="g">pages:409-418</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11029-007-0038-7</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-CHE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">43</subfield><subfield code="j">2007</subfield><subfield code="e">5</subfield><subfield code="c">09</subfield><subfield code="h">409-418</subfield></datafield></record></collection>
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