Features of plane wave propagation along the layers of a prestrained nanocomposite
Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic beh...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhuk, Ya. A. [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2007 |
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| Schlagwörter: |
three-dimensional linearized theory of elasticity |
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| Anmerkung: |
© Springer Science+Business Media, Inc. 2007 |
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| Übergeordnetes Werk: |
Enthalten in: International applied mechanics - Springer US, 1993, 43(2007), 4 vom: Apr., Seite 361-379 |
|---|---|
| Übergeordnetes Werk: |
volume:43 ; year:2007 ; number:4 ; month:04 ; pages:361-379 |
| Links: |
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| DOI / URN: |
10.1007/s10778-007-0032-8 |
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OLC2075729689 |
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| 520 | |a Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses | ||
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10.1007/s10778-007-0032-8 doi (DE-627)OLC2075729689 (DE-He213)s10778-007-0032-8-p DE-627 ger DE-627 rakwb eng 530 VZ Zhuk, Ya. A. verfasserin aut Features of plane wave propagation along the layers of a prestrained nanocomposite 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses composite materials nanocomposites three-dimensional linearized theory of elasticity initial stresses longitudinal and transverse wave propagation wave velocities Guz, I. A. aut Enthalten in International applied mechanics Springer US, 1993 43(2007), 4 vom: Apr., Seite 361-379 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:43 year:2007 number:4 month:04 pages:361-379 https://doi.org/10.1007/s10778-007-0032-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 43 2007 4 04 361-379 |
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10.1007/s10778-007-0032-8 doi (DE-627)OLC2075729689 (DE-He213)s10778-007-0032-8-p DE-627 ger DE-627 rakwb eng 530 VZ Zhuk, Ya. A. verfasserin aut Features of plane wave propagation along the layers of a prestrained nanocomposite 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses composite materials nanocomposites three-dimensional linearized theory of elasticity initial stresses longitudinal and transverse wave propagation wave velocities Guz, I. A. aut Enthalten in International applied mechanics Springer US, 1993 43(2007), 4 vom: Apr., Seite 361-379 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:43 year:2007 number:4 month:04 pages:361-379 https://doi.org/10.1007/s10778-007-0032-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 43 2007 4 04 361-379 |
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10.1007/s10778-007-0032-8 doi (DE-627)OLC2075729689 (DE-He213)s10778-007-0032-8-p DE-627 ger DE-627 rakwb eng 530 VZ Zhuk, Ya. A. verfasserin aut Features of plane wave propagation along the layers of a prestrained nanocomposite 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses composite materials nanocomposites three-dimensional linearized theory of elasticity initial stresses longitudinal and transverse wave propagation wave velocities Guz, I. A. aut Enthalten in International applied mechanics Springer US, 1993 43(2007), 4 vom: Apr., Seite 361-379 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:43 year:2007 number:4 month:04 pages:361-379 https://doi.org/10.1007/s10778-007-0032-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 43 2007 4 04 361-379 |
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10.1007/s10778-007-0032-8 doi (DE-627)OLC2075729689 (DE-He213)s10778-007-0032-8-p DE-627 ger DE-627 rakwb eng 530 VZ Zhuk, Ya. A. verfasserin aut Features of plane wave propagation along the layers of a prestrained nanocomposite 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses composite materials nanocomposites three-dimensional linearized theory of elasticity initial stresses longitudinal and transverse wave propagation wave velocities Guz, I. A. aut Enthalten in International applied mechanics Springer US, 1993 43(2007), 4 vom: Apr., Seite 361-379 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:43 year:2007 number:4 month:04 pages:361-379 https://doi.org/10.1007/s10778-007-0032-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 43 2007 4 04 361-379 |
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10.1007/s10778-007-0032-8 doi (DE-627)OLC2075729689 (DE-He213)s10778-007-0032-8-p DE-627 ger DE-627 rakwb eng 530 VZ Zhuk, Ya. A. verfasserin aut Features of plane wave propagation along the layers of a prestrained nanocomposite 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, Inc. 2007 Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses composite materials nanocomposites three-dimensional linearized theory of elasticity initial stresses longitudinal and transverse wave propagation wave velocities Guz, I. A. aut Enthalten in International applied mechanics Springer US, 1993 43(2007), 4 vom: Apr., Seite 361-379 (DE-627)131145630 (DE-600)1128258-7 (DE-576)032855141 1063-7095 nnns volume:43 year:2007 number:4 month:04 pages:361-379 https://doi.org/10.1007/s10778-007-0032-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_70 AR 43 2007 4 04 361-379 |
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Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses © Springer Science+Business Media, Inc. 2007 |
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Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses © Springer Science+Business Media, Inc. 2007 |
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Abstract Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses © 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">OLC2075729689</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503092023.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2007 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10778-007-0032-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2075729689</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10778-007-0032-8-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">Zhuk, Ya. A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Features of plane wave propagation along the layers of a prestrained nanocomposite</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 Features of the propagation of longitudinal and transverse plane waves along the layers of nanocomposites with process-induced initial stresses are studied. The composite has a periodic structure: it is made by repeating two highly dissimilar layers. The layers exhibit nonlinear elastic behavior in the range of loads under consideration. A Murnaghan-type elastic potential dependent on the three invariants of the strain tensor is used to describe the mechanical behavior of the composite constituents. To simulate the propagation of waves, finite-strain theory is used for developing a problem statement within the framework of the three-dimensional linearized theory of elasticity assuming finite initial strains. The dependence of the relative velocities of longitudinal and transverse waves on two components of small initial stresses in each layer and on the volume fraction of the constituents is studied. It is established that there are thickness ratios of layers in some nanocomposites such that the wave velocities are independent of the initial stresses and equal to the respective wave velocities in composites without initial stresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">composite materials</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">nanocomposites</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">three-dimensional linearized theory of elasticity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">initial stresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">longitudinal and transverse wave propagation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">wave velocities</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Guz, I. A.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">International applied mechanics</subfield><subfield code="d">Springer US, 1993</subfield><subfield code="g">43(2007), 4 vom: Apr., Seite 361-379</subfield><subfield code="w">(DE-627)131145630</subfield><subfield code="w">(DE-600)1128258-7</subfield><subfield code="w">(DE-576)032855141</subfield><subfield code="x">1063-7095</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:4</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:361-379</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10778-007-0032-8</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_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">4</subfield><subfield code="c">04</subfield><subfield code="h">361-379</subfield></datafield></record></collection>
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