Linearization of response mappings in constrained elasticity
Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of lineariz...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Podio-Guidugli, Paolo [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1994 |
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| Schlagwörter: |
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| Anmerkung: |
© Kluwer Academic Publishers 1994 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of elasticity - Kluwer Academic Publishers, 1971, 34(1994), 2 vom: Feb., Seite 185-189 |
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| Übergeordnetes Werk: |
volume:34 ; year:1994 ; number:2 ; month:02 ; pages:185-189 |
| Links: |
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| DOI / URN: |
10.1007/BF00041192 |
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| Katalog-ID: |
OLC2113188961 |
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| 520 | |a Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. | ||
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10.1007/BF00041192 doi (DE-627)OLC2113188961 (DE-He213)BF00041192-p DE-627 ger DE-627 rakwb eng 600 VZ Podio-Guidugli, Paolo verfasserin aut Linearization of response mappings in constrained elasticity 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1994 Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. Manifold Residual Stress Response Mapping Constitutive Equation Elastic Material Vianello, Maurizio aut Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 34(1994), 2 vom: Feb., Seite 185-189 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:34 year:1994 number:2 month:02 pages:185-189 https://doi.org/10.1007/BF00041192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 34 1994 2 02 185-189 |
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10.1007/BF00041192 doi (DE-627)OLC2113188961 (DE-He213)BF00041192-p DE-627 ger DE-627 rakwb eng 600 VZ Podio-Guidugli, Paolo verfasserin aut Linearization of response mappings in constrained elasticity 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1994 Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. Manifold Residual Stress Response Mapping Constitutive Equation Elastic Material Vianello, Maurizio aut Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 34(1994), 2 vom: Feb., Seite 185-189 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:34 year:1994 number:2 month:02 pages:185-189 https://doi.org/10.1007/BF00041192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 34 1994 2 02 185-189 |
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10.1007/BF00041192 doi (DE-627)OLC2113188961 (DE-He213)BF00041192-p DE-627 ger DE-627 rakwb eng 600 VZ Podio-Guidugli, Paolo verfasserin aut Linearization of response mappings in constrained elasticity 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1994 Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. Manifold Residual Stress Response Mapping Constitutive Equation Elastic Material Vianello, Maurizio aut Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 34(1994), 2 vom: Feb., Seite 185-189 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:34 year:1994 number:2 month:02 pages:185-189 https://doi.org/10.1007/BF00041192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 34 1994 2 02 185-189 |
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10.1007/BF00041192 doi (DE-627)OLC2113188961 (DE-He213)BF00041192-p DE-627 ger DE-627 rakwb eng 600 VZ Podio-Guidugli, Paolo verfasserin aut Linearization of response mappings in constrained elasticity 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1994 Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. Manifold Residual Stress Response Mapping Constitutive Equation Elastic Material Vianello, Maurizio aut Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 34(1994), 2 vom: Feb., Seite 185-189 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:34 year:1994 number:2 month:02 pages:185-189 https://doi.org/10.1007/BF00041192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 34 1994 2 02 185-189 |
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10.1007/BF00041192 doi (DE-627)OLC2113188961 (DE-He213)BF00041192-p DE-627 ger DE-627 rakwb eng 600 VZ Podio-Guidugli, Paolo verfasserin aut Linearization of response mappings in constrained elasticity 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1994 Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. Manifold Residual Stress Response Mapping Constitutive Equation Elastic Material Vianello, Maurizio aut Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 34(1994), 2 vom: Feb., Seite 185-189 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:34 year:1994 number:2 month:02 pages:185-189 https://doi.org/10.1007/BF00041192 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 34 1994 2 02 185-189 |
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Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. © Kluwer Academic Publishers 1994 |
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Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. © Kluwer Academic Publishers 1994 |
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Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. © Kluwer Academic Publishers 1994 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2113188961</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503051348.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230503s1994 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF00041192</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2113188961</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF00041192-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">600</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Podio-Guidugli, Paolo</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Linearization of response mappings in constrained elasticity</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1994</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">© Kluwer Academic Publishers 1994</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. 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As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Manifold</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Residual Stress</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Response Mapping</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Constitutive Equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Elastic Material</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vianello, Maurizio</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of elasticity</subfield><subfield code="d">Kluwer Academic Publishers, 1971</subfield><subfield code="g">34(1994), 2 vom: Feb., Seite 185-189</subfield><subfield code="w">(DE-627)129297275</subfield><subfield code="w">(DE-600)121407-X</subfield><subfield code="w">(DE-576)014490439</subfield><subfield code="x">0374-3535</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:34</subfield><subfield code="g">year:1994</subfield><subfield code="g">number:2</subfield><subfield code="g">month:02</subfield><subfield code="g">pages:185-189</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF00041192</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-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_32</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2016</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4046</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">34</subfield><subfield code="j">1994</subfield><subfield code="e">2</subfield><subfield code="c">02</subfield><subfield code="h">185-189</subfield></datafield></record></collection>
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