Photoelasticity in polycrystalline aggregates
Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ranganath, G S [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1973 |
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| Schlagwörter: |
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| Anmerkung: |
© the Indian Academy of Sciences 1973 |
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| Übergeordnetes Werk: |
Enthalten in: Pramāna - Springer India, 1973, 1(1973), 2 vom: Aug., Seite 78-87 |
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| Übergeordnetes Werk: |
volume:1 ; year:1973 ; number:2 ; month:08 ; pages:78-87 |
| Links: |
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| DOI / URN: |
10.1007/BF02847181 |
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OLC2076000658 |
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| 520 | |a Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. In the case of KI and rubidium halides even the sign of the photoelastic birefringence is different for the two limits. | ||
| 650 | 4 | |a Polycrystals | |
| 650 | 4 | |a photoelasticity | |
| 650 | 4 | |a elastic constants | |
| 650 | 4 | |a alkali halides | |
| 650 | 4 | |a photoelastic birefringence | |
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10.1007/BF02847181 doi (DE-627)OLC2076000658 (DE-He213)BF02847181-p DE-627 ger DE-627 rakwb eng 530 VZ Ranganath, G S verfasserin aut Photoelasticity in polycrystalline aggregates 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the Indian Academy of Sciences 1973 Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. In the case of KI and rubidium halides even the sign of the photoelastic birefringence is different for the two limits. Polycrystals photoelasticity elastic constants alkali halides photoelastic birefringence Ramaseshan, S aut Enthalten in Pramāna Springer India, 1973 1(1973), 2 vom: Aug., Seite 78-87 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:1 year:1973 number:2 month:08 pages:78-87 https://doi.org/10.1007/BF02847181 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4309 AR 1 1973 2 08 78-87 |
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10.1007/BF02847181 doi (DE-627)OLC2076000658 (DE-He213)BF02847181-p DE-627 ger DE-627 rakwb eng 530 VZ Ranganath, G S verfasserin aut Photoelasticity in polycrystalline aggregates 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the Indian Academy of Sciences 1973 Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. In the case of KI and rubidium halides even the sign of the photoelastic birefringence is different for the two limits. Polycrystals photoelasticity elastic constants alkali halides photoelastic birefringence Ramaseshan, S aut Enthalten in Pramāna Springer India, 1973 1(1973), 2 vom: Aug., Seite 78-87 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:1 year:1973 number:2 month:08 pages:78-87 https://doi.org/10.1007/BF02847181 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4309 AR 1 1973 2 08 78-87 |
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10.1007/BF02847181 doi (DE-627)OLC2076000658 (DE-He213)BF02847181-p DE-627 ger DE-627 rakwb eng 530 VZ Ranganath, G S verfasserin aut Photoelasticity in polycrystalline aggregates 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the Indian Academy of Sciences 1973 Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. In the case of KI and rubidium halides even the sign of the photoelastic birefringence is different for the two limits. Polycrystals photoelasticity elastic constants alkali halides photoelastic birefringence Ramaseshan, S aut Enthalten in Pramāna Springer India, 1973 1(1973), 2 vom: Aug., Seite 78-87 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:1 year:1973 number:2 month:08 pages:78-87 https://doi.org/10.1007/BF02847181 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4309 AR 1 1973 2 08 78-87 |
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10.1007/BF02847181 doi (DE-627)OLC2076000658 (DE-He213)BF02847181-p DE-627 ger DE-627 rakwb eng 530 VZ Ranganath, G S verfasserin aut Photoelasticity in polycrystalline aggregates 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the Indian Academy of Sciences 1973 Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. In the case of KI and rubidium halides even the sign of the photoelastic birefringence is different for the two limits. Polycrystals photoelasticity elastic constants alkali halides photoelastic birefringence Ramaseshan, S aut Enthalten in Pramāna Springer India, 1973 1(1973), 2 vom: Aug., Seite 78-87 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:1 year:1973 number:2 month:08 pages:78-87 https://doi.org/10.1007/BF02847181 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4309 AR 1 1973 2 08 78-87 |
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10.1007/BF02847181 doi (DE-627)OLC2076000658 (DE-He213)BF02847181-p DE-627 ger DE-627 rakwb eng 530 VZ Ranganath, G S verfasserin aut Photoelasticity in polycrystalline aggregates 1973 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © the Indian Academy of Sciences 1973 Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. In the case of KI and rubidium halides even the sign of the photoelastic birefringence is different for the two limits. Polycrystals photoelasticity elastic constants alkali halides photoelastic birefringence Ramaseshan, S aut Enthalten in Pramāna Springer India, 1973 1(1973), 2 vom: Aug., Seite 78-87 (DE-627)129403342 (DE-600)186949-8 (DE-576)014785102 0304-4289 nnns volume:1 year:1973 number:2 month:08 pages:78-87 https://doi.org/10.1007/BF02847181 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_21 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4309 AR 1 1973 2 08 78-87 |
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Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. In the case of KI and rubidium halides even the sign of the photoelastic birefringence is different for the two limits. © the Indian Academy of Sciences 1973 |
| abstractGer |
Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. In the case of KI and rubidium halides even the sign of the photoelastic birefringence is different for the two limits. © the Indian Academy of Sciences 1973 |
| abstract_unstemmed |
Abstract A theory for the photoelastic behaviour of transparent polycrystalline aggregates consisting of randomly oriented anisotropic crystallites has been developed. Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. In the case of KI and rubidium halides even the sign of the photoelastic birefringence is different for the two limits. © the Indian Academy of Sciences 1973 |
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| title_short |
Photoelasticity in polycrystalline aggregates |
| url |
https://doi.org/10.1007/BF02847181 |
| remote_bool |
false |
| author2 |
Ramaseshan, S |
| author2Str |
Ramaseshan, S |
| ppnlink |
129403342 |
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n |
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false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/BF02847181 |
| up_date |
2024-07-04T02:27:44.951Z |
| _version_ |
1803613702668156928 |
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Such an aggregate is isotropic but it becomes birefringent under the influence of a uniaxial load. The photoelastic constants of the aggregate are given by the components of the spatial average of the photoelastic tensor of the single crystal, and are worked out by assuming either the strain to be continuous (Voigt approximation) or the stress to be continuous (Reuss approximation). The components of the average photoelastic tensor are very different for these two limits. The elastic and the photoelastic constants of alkali halide aggregates have been evaluated for both the stress continuity and the strain continuity conditions. The maximum variation of the elastic constants in going from the Voigt to the Reuss condition is 50 per cent while the photoelastic birefringence can vary by as much as 300 per cent in alkali halides. 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7.401023 |