Finite strain solutions in compressible isotropic elasticity
Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of h...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Carroll, M. M. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1988 |
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| Schlagwörter: |
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| Anmerkung: |
© Kluwer Academic Publishers 1988 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of elasticity - Kluwer Academic Publishers, 1971, 20(1988), 1 vom: Jan., Seite 65-92 |
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| Übergeordnetes Werk: |
volume:20 ; year:1988 ; number:1 ; month:01 ; pages:65-92 |
| Links: |
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| DOI / URN: |
10.1007/BF00042141 |
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OLC2113186985 |
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| 520 | |a Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. For the three special classes of materials, this differential equation may be solved in closed form, giving a deformation field which is independent of the material response function, or its solution may be reduced to a single quadrature, involving the nonlinear material response function. | ||
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10.1007/BF00042141 doi (DE-627)OLC2113186985 (DE-He213)BF00042141-p DE-627 ger DE-627 rakwb eng 600 VZ Carroll, M. M. verfasserin aut Finite strain solutions in compressible isotropic elasticity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1988 Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. For the three special classes of materials, this differential equation may be solved in closed form, giving a deformation field which is independent of the material response function, or its solution may be reduced to a single quadrature, involving the nonlinear material response function. Differential Equation Ordinary Differential Equation Governing Equation Closed Form Special Classis Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 20(1988), 1 vom: Jan., Seite 65-92 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:20 year:1988 number:1 month:01 pages:65-92 https://doi.org/10.1007/BF00042141 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 20 1988 1 01 65-92 |
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10.1007/BF00042141 doi (DE-627)OLC2113186985 (DE-He213)BF00042141-p DE-627 ger DE-627 rakwb eng 600 VZ Carroll, M. M. verfasserin aut Finite strain solutions in compressible isotropic elasticity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1988 Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. For the three special classes of materials, this differential equation may be solved in closed form, giving a deformation field which is independent of the material response function, or its solution may be reduced to a single quadrature, involving the nonlinear material response function. Differential Equation Ordinary Differential Equation Governing Equation Closed Form Special Classis Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 20(1988), 1 vom: Jan., Seite 65-92 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:20 year:1988 number:1 month:01 pages:65-92 https://doi.org/10.1007/BF00042141 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 20 1988 1 01 65-92 |
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10.1007/BF00042141 doi (DE-627)OLC2113186985 (DE-He213)BF00042141-p DE-627 ger DE-627 rakwb eng 600 VZ Carroll, M. M. verfasserin aut Finite strain solutions in compressible isotropic elasticity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1988 Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. For the three special classes of materials, this differential equation may be solved in closed form, giving a deformation field which is independent of the material response function, or its solution may be reduced to a single quadrature, involving the nonlinear material response function. Differential Equation Ordinary Differential Equation Governing Equation Closed Form Special Classis Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 20(1988), 1 vom: Jan., Seite 65-92 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:20 year:1988 number:1 month:01 pages:65-92 https://doi.org/10.1007/BF00042141 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 20 1988 1 01 65-92 |
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10.1007/BF00042141 doi (DE-627)OLC2113186985 (DE-He213)BF00042141-p DE-627 ger DE-627 rakwb eng 600 VZ Carroll, M. M. verfasserin aut Finite strain solutions in compressible isotropic elasticity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1988 Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. For the three special classes of materials, this differential equation may be solved in closed form, giving a deformation field which is independent of the material response function, or its solution may be reduced to a single quadrature, involving the nonlinear material response function. Differential Equation Ordinary Differential Equation Governing Equation Closed Form Special Classis Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 20(1988), 1 vom: Jan., Seite 65-92 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:20 year:1988 number:1 month:01 pages:65-92 https://doi.org/10.1007/BF00042141 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 20 1988 1 01 65-92 |
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10.1007/BF00042141 doi (DE-627)OLC2113186985 (DE-He213)BF00042141-p DE-627 ger DE-627 rakwb eng 600 VZ Carroll, M. M. verfasserin aut Finite strain solutions in compressible isotropic elasticity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1988 Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. For the three special classes of materials, this differential equation may be solved in closed form, giving a deformation field which is independent of the material response function, or its solution may be reduced to a single quadrature, involving the nonlinear material response function. Differential Equation Ordinary Differential Equation Governing Equation Closed Form Special Classis Enthalten in Journal of elasticity Kluwer Academic Publishers, 1971 20(1988), 1 vom: Jan., Seite 65-92 (DE-627)129297275 (DE-600)121407-X (DE-576)014490439 0374-3535 nnns volume:20 year:1988 number:1 month:01 pages:65-92 https://doi.org/10.1007/BF00042141 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_40 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2409 GBV_ILN_4046 GBV_ILN_4700 AR 20 1988 1 01 65-92 |
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Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. For the three special classes of materials, this differential equation may be solved in closed form, giving a deformation field which is independent of the material response function, or its solution may be reduced to a single quadrature, involving the nonlinear material response function. © Kluwer Academic Publishers 1988 |
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Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. For the three special classes of materials, this differential equation may be solved in closed form, giving a deformation field which is independent of the material response function, or its solution may be reduced to a single quadrature, involving the nonlinear material response function. © Kluwer Academic Publishers 1988 |
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Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. For the three special classes of materials, this differential equation may be solved in closed form, giving a deformation field which is independent of the material response function, or its solution may be reduced to a single quadrature, involving the nonlinear material response function. © Kluwer Academic Publishers 1988 |
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M.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Finite strain solutions in compressible isotropic elasticity</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1988</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 1988</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Three classes of compressible isotropic elastic solids are introduced, for each of which the strain energy, expressed as a function of the three principal invariants of the stretch tensors, is linear in two of its arguments and nonlinear in the third argument. One of these is the class of harmonic materials. Several deformation fields are examined, for which the governing equations, for general compressible isotropic elastic response, reduce to a nonlinear ordinary differential equation. 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