On a family of quasi-isotropic fiber-reinforced composites
Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown tha...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Theocaris, P. S. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1993 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 1993 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer-Verlag, 1965, 96(1993), 1-4 vom: März, Seite 163-180 |
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| Übergeordnetes Werk: |
volume:96 ; year:1993 ; number:1-4 ; month:03 ; pages:163-180 |
| Links: |
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| DOI / URN: |
10.1007/BF01340708 |
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| Katalog-ID: |
OLC2030113956 |
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| 520 | |a Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components $ σ_{1} $ and $ σ_{2} $, which are shears, with $ σ_{2} $ a simple shear, and $ σ_{1} $ a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components $ σ_{3} $ and $ σ_{4} $ are the orthogonal supplement to the shear subspace of $ σ_{1} $ and $ σ_{2} $, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material. In this paper a particular class of transversely isotropic materials is studied, whose mechanical properties are conveniently selected to reduce the two last eigenstate components in such a manner, that the one is identified to contribute only a dilatational type of strain energy, whereas the other a distortional one. In this way the four eigenstates are clearly separated in two distinct groups creating either distortional or dilatational types of strain energy. It was shown that this family of materials behave like the isotropic body, in spite of their differences in the elastic constants along their principal axes of anisotropy. Since with fiber-composites it is possible to arrange their mechanical properties by selecting the appropriate ratios between matrix and inclusions, according to their properties, this possibility of selecting in advance the properties of the composite is feasible. Taking into consideration that quasi-isotropic materials develop the smallest stress concentrations in the structures, the development and selection of such composites with quasi-elastic properties becomes very important. | ||
| 650 | 4 | |a Isotropy | |
| 650 | 4 | |a Simple Shear | |
| 650 | 4 | |a Spectral Decomposition | |
| 650 | 4 | |a Pure Shear | |
| 650 | 4 | |a Stiffness Tensor | |
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10.1007/BF01340708 doi (DE-627)OLC2030113956 (DE-He213)BF01340708-p DE-627 ger DE-627 rakwb eng 530 VZ Theocaris, P. S. verfasserin aut On a family of quasi-isotropic fiber-reinforced composites 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components $ σ_{1} $ and $ σ_{2} $, which are shears, with $ σ_{2} $ a simple shear, and $ σ_{1} $ a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components $ σ_{3} $ and $ σ_{4} $ are the orthogonal supplement to the shear subspace of $ σ_{1} $ and $ σ_{2} $, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material. In this paper a particular class of transversely isotropic materials is studied, whose mechanical properties are conveniently selected to reduce the two last eigenstate components in such a manner, that the one is identified to contribute only a dilatational type of strain energy, whereas the other a distortional one. In this way the four eigenstates are clearly separated in two distinct groups creating either distortional or dilatational types of strain energy. It was shown that this family of materials behave like the isotropic body, in spite of their differences in the elastic constants along their principal axes of anisotropy. Since with fiber-composites it is possible to arrange their mechanical properties by selecting the appropriate ratios between matrix and inclusions, according to their properties, this possibility of selecting in advance the properties of the composite is feasible. Taking into consideration that quasi-isotropic materials develop the smallest stress concentrations in the structures, the development and selection of such composites with quasi-elastic properties becomes very important. Isotropy Simple Shear Spectral Decomposition Pure Shear Stiffness Tensor Enthalten in Acta mechanica Springer-Verlag, 1965 96(1993), 1-4 vom: März, Seite 163-180 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:96 year:1993 number:1-4 month:03 pages:163-180 https://doi.org/10.1007/BF01340708 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 96 1993 1-4 03 163-180 |
| spelling |
10.1007/BF01340708 doi (DE-627)OLC2030113956 (DE-He213)BF01340708-p DE-627 ger DE-627 rakwb eng 530 VZ Theocaris, P. S. verfasserin aut On a family of quasi-isotropic fiber-reinforced composites 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components $ σ_{1} $ and $ σ_{2} $, which are shears, with $ σ_{2} $ a simple shear, and $ σ_{1} $ a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components $ σ_{3} $ and $ σ_{4} $ are the orthogonal supplement to the shear subspace of $ σ_{1} $ and $ σ_{2} $, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material. In this paper a particular class of transversely isotropic materials is studied, whose mechanical properties are conveniently selected to reduce the two last eigenstate components in such a manner, that the one is identified to contribute only a dilatational type of strain energy, whereas the other a distortional one. In this way the four eigenstates are clearly separated in two distinct groups creating either distortional or dilatational types of strain energy. It was shown that this family of materials behave like the isotropic body, in spite of their differences in the elastic constants along their principal axes of anisotropy. Since with fiber-composites it is possible to arrange their mechanical properties by selecting the appropriate ratios between matrix and inclusions, according to their properties, this possibility of selecting in advance the properties of the composite is feasible. Taking into consideration that quasi-isotropic materials develop the smallest stress concentrations in the structures, the development and selection of such composites with quasi-elastic properties becomes very important. Isotropy Simple Shear Spectral Decomposition Pure Shear Stiffness Tensor Enthalten in Acta mechanica Springer-Verlag, 1965 96(1993), 1-4 vom: März, Seite 163-180 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:96 year:1993 number:1-4 month:03 pages:163-180 https://doi.org/10.1007/BF01340708 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 96 1993 1-4 03 163-180 |
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10.1007/BF01340708 doi (DE-627)OLC2030113956 (DE-He213)BF01340708-p DE-627 ger DE-627 rakwb eng 530 VZ Theocaris, P. S. verfasserin aut On a family of quasi-isotropic fiber-reinforced composites 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components $ σ_{1} $ and $ σ_{2} $, which are shears, with $ σ_{2} $ a simple shear, and $ σ_{1} $ a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components $ σ_{3} $ and $ σ_{4} $ are the orthogonal supplement to the shear subspace of $ σ_{1} $ and $ σ_{2} $, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material. In this paper a particular class of transversely isotropic materials is studied, whose mechanical properties are conveniently selected to reduce the two last eigenstate components in such a manner, that the one is identified to contribute only a dilatational type of strain energy, whereas the other a distortional one. In this way the four eigenstates are clearly separated in two distinct groups creating either distortional or dilatational types of strain energy. It was shown that this family of materials behave like the isotropic body, in spite of their differences in the elastic constants along their principal axes of anisotropy. Since with fiber-composites it is possible to arrange their mechanical properties by selecting the appropriate ratios between matrix and inclusions, according to their properties, this possibility of selecting in advance the properties of the composite is feasible. Taking into consideration that quasi-isotropic materials develop the smallest stress concentrations in the structures, the development and selection of such composites with quasi-elastic properties becomes very important. Isotropy Simple Shear Spectral Decomposition Pure Shear Stiffness Tensor Enthalten in Acta mechanica Springer-Verlag, 1965 96(1993), 1-4 vom: März, Seite 163-180 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:96 year:1993 number:1-4 month:03 pages:163-180 https://doi.org/10.1007/BF01340708 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 96 1993 1-4 03 163-180 |
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10.1007/BF01340708 doi (DE-627)OLC2030113956 (DE-He213)BF01340708-p DE-627 ger DE-627 rakwb eng 530 VZ Theocaris, P. S. verfasserin aut On a family of quasi-isotropic fiber-reinforced composites 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components $ σ_{1} $ and $ σ_{2} $, which are shears, with $ σ_{2} $ a simple shear, and $ σ_{1} $ a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components $ σ_{3} $ and $ σ_{4} $ are the orthogonal supplement to the shear subspace of $ σ_{1} $ and $ σ_{2} $, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material. In this paper a particular class of transversely isotropic materials is studied, whose mechanical properties are conveniently selected to reduce the two last eigenstate components in such a manner, that the one is identified to contribute only a dilatational type of strain energy, whereas the other a distortional one. In this way the four eigenstates are clearly separated in two distinct groups creating either distortional or dilatational types of strain energy. It was shown that this family of materials behave like the isotropic body, in spite of their differences in the elastic constants along their principal axes of anisotropy. Since with fiber-composites it is possible to arrange their mechanical properties by selecting the appropriate ratios between matrix and inclusions, according to their properties, this possibility of selecting in advance the properties of the composite is feasible. Taking into consideration that quasi-isotropic materials develop the smallest stress concentrations in the structures, the development and selection of such composites with quasi-elastic properties becomes very important. Isotropy Simple Shear Spectral Decomposition Pure Shear Stiffness Tensor Enthalten in Acta mechanica Springer-Verlag, 1965 96(1993), 1-4 vom: März, Seite 163-180 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:96 year:1993 number:1-4 month:03 pages:163-180 https://doi.org/10.1007/BF01340708 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 96 1993 1-4 03 163-180 |
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10.1007/BF01340708 doi (DE-627)OLC2030113956 (DE-He213)BF01340708-p DE-627 ger DE-627 rakwb eng 530 VZ Theocaris, P. S. verfasserin aut On a family of quasi-isotropic fiber-reinforced composites 1993 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1993 Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components $ σ_{1} $ and $ σ_{2} $, which are shears, with $ σ_{2} $ a simple shear, and $ σ_{1} $ a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components $ σ_{3} $ and $ σ_{4} $ are the orthogonal supplement to the shear subspace of $ σ_{1} $ and $ σ_{2} $, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material. In this paper a particular class of transversely isotropic materials is studied, whose mechanical properties are conveniently selected to reduce the two last eigenstate components in such a manner, that the one is identified to contribute only a dilatational type of strain energy, whereas the other a distortional one. In this way the four eigenstates are clearly separated in two distinct groups creating either distortional or dilatational types of strain energy. It was shown that this family of materials behave like the isotropic body, in spite of their differences in the elastic constants along their principal axes of anisotropy. Since with fiber-composites it is possible to arrange their mechanical properties by selecting the appropriate ratios between matrix and inclusions, according to their properties, this possibility of selecting in advance the properties of the composite is feasible. Taking into consideration that quasi-isotropic materials develop the smallest stress concentrations in the structures, the development and selection of such composites with quasi-elastic properties becomes very important. Isotropy Simple Shear Spectral Decomposition Pure Shear Stiffness Tensor Enthalten in Acta mechanica Springer-Verlag, 1965 96(1993), 1-4 vom: März, Seite 163-180 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:96 year:1993 number:1-4 month:03 pages:163-180 https://doi.org/10.1007/BF01340708 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_4046 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 96 1993 1-4 03 163-180 |
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Enthalten in Acta mechanica 96(1993), 1-4 vom: März, Seite 163-180 volume:96 year:1993 number:1-4 month:03 pages:163-180 |
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S.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On a family of quasi-isotropic fiber-reinforced composites</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1993</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-Verlag 1993</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. 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on a family of quasi-isotropic fiber-reinforced composites |
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On a family of quasi-isotropic fiber-reinforced composites |
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Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components $ σ_{1} $ and $ σ_{2} $, which are shears, with $ σ_{2} $ a simple shear, and $ σ_{1} $ a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components $ σ_{3} $ and $ σ_{4} $ are the orthogonal supplement to the shear subspace of $ σ_{1} $ and $ σ_{2} $, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material. In this paper a particular class of transversely isotropic materials is studied, whose mechanical properties are conveniently selected to reduce the two last eigenstate components in such a manner, that the one is identified to contribute only a dilatational type of strain energy, whereas the other a distortional one. In this way the four eigenstates are clearly separated in two distinct groups creating either distortional or dilatational types of strain energy. It was shown that this family of materials behave like the isotropic body, in spite of their differences in the elastic constants along their principal axes of anisotropy. Since with fiber-composites it is possible to arrange their mechanical properties by selecting the appropriate ratios between matrix and inclusions, according to their properties, this possibility of selecting in advance the properties of the composite is feasible. Taking into consideration that quasi-isotropic materials develop the smallest stress concentrations in the structures, the development and selection of such composites with quasi-elastic properties becomes very important. © Springer-Verlag 1993 |
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Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components $ σ_{1} $ and $ σ_{2} $, which are shears, with $ σ_{2} $ a simple shear, and $ σ_{1} $ a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components $ σ_{3} $ and $ σ_{4} $ are the orthogonal supplement to the shear subspace of $ σ_{1} $ and $ σ_{2} $, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material. In this paper a particular class of transversely isotropic materials is studied, whose mechanical properties are conveniently selected to reduce the two last eigenstate components in such a manner, that the one is identified to contribute only a dilatational type of strain energy, whereas the other a distortional one. In this way the four eigenstates are clearly separated in two distinct groups creating either distortional or dilatational types of strain energy. It was shown that this family of materials behave like the isotropic body, in spite of their differences in the elastic constants along their principal axes of anisotropy. Since with fiber-composites it is possible to arrange their mechanical properties by selecting the appropriate ratios between matrix and inclusions, according to their properties, this possibility of selecting in advance the properties of the composite is feasible. Taking into consideration that quasi-isotropic materials develop the smallest stress concentrations in the structures, the development and selection of such composites with quasi-elastic properties becomes very important. © Springer-Verlag 1993 |
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Summary The spectral decomposition of the compliance and the stiffness tensors for a transversely isotropic body (fiber-reinforced composite), and their eigenvalues derived from, define in a simple and efficient way the respective elastic eigenstates of loading of the material. It has been shown that, for the general orthotropic or transversely isotropic body, these eigenstates consist of two double components $ σ_{1} $ and $ σ_{2} $, which are shears, with $ σ_{2} $ a simple shear, and $ σ_{1} $ a suprposition of simple and pure shears, and they are associated with distortional components of energy. The remaining two eigenstates, with stress components $ σ_{3} $ and $ σ_{4} $ are the orthogonal supplement to the shear subspace of $ σ_{1} $ and $ σ_{2} $, and consist of an equilateral stressing in the plane of isotropy, superimposed with a prescribed tension or compression along the symmetry axis of the material. In this paper a particular class of transversely isotropic materials is studied, whose mechanical properties are conveniently selected to reduce the two last eigenstate components in such a manner, that the one is identified to contribute only a dilatational type of strain energy, whereas the other a distortional one. In this way the four eigenstates are clearly separated in two distinct groups creating either distortional or dilatational types of strain energy. It was shown that this family of materials behave like the isotropic body, in spite of their differences in the elastic constants along their principal axes of anisotropy. Since with fiber-composites it is possible to arrange their mechanical properties by selecting the appropriate ratios between matrix and inclusions, according to their properties, this possibility of selecting in advance the properties of the composite is feasible. Taking into consideration that quasi-isotropic materials develop the smallest stress concentrations in the structures, the development and selection of such composites with quasi-elastic properties becomes very important. © Springer-Verlag 1993 |
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