State-space approach to thermoelastic interactions in generalized thermoelasticity type III
Abstract The present work is attempted to formulate the state-space approach to the problems of thermoelastic interactions with energy dissipation on the basis of the theory of generalized thermoelasticity type-III, recently developed by Green and Naghdi. The formulation is then applied to solve a b...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mukhopadhyay, Santwana [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2009 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 2009 |
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| Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Springer-Verlag, 1991, 80(2009), 8 vom: 16. Juli, Seite 869-881 |
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| Übergeordnetes Werk: |
volume:80 ; year:2009 ; number:8 ; day:16 ; month:07 ; pages:869-881 |
| Links: |
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| DOI / URN: |
10.1007/s00419-009-0345-7 |
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| Katalog-ID: |
OLC2071051874 |
|---|
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| 520 | |a Abstract The present work is attempted to formulate the state-space approach to the problems of thermoelastic interactions with energy dissipation on the basis of the theory of generalized thermoelasticity type-III, recently developed by Green and Naghdi. The formulation is then applied to solve a boundary value problem of an isotropic elastic half space with its plane boundary subjected to two different types of boundary conditions: (1) sudden increase in temperature and zero stress and (2) sudden increase in load and zero temperature change. Integral transform method is applied to obtain the solution of the problem. The short time approximated solutions for the field variables have been constructed analytically for both the cases. The problem is illustrated with the help of different graphs of numerical values of the field variables. | ||
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10.1007/s00419-009-0345-7 doi (DE-627)OLC2071051874 (DE-He213)s00419-009-0345-7-p DE-627 ger DE-627 rakwb eng 690 VZ Mukhopadhyay, Santwana verfasserin aut State-space approach to thermoelastic interactions in generalized thermoelasticity type III 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract The present work is attempted to formulate the state-space approach to the problems of thermoelastic interactions with energy dissipation on the basis of the theory of generalized thermoelasticity type-III, recently developed by Green and Naghdi. The formulation is then applied to solve a boundary value problem of an isotropic elastic half space with its plane boundary subjected to two different types of boundary conditions: (1) sudden increase in temperature and zero stress and (2) sudden increase in load and zero temperature change. Integral transform method is applied to obtain the solution of the problem. The short time approximated solutions for the field variables have been constructed analytically for both the cases. The problem is illustrated with the help of different graphs of numerical values of the field variables. Generalized thermoelasticity Half space State-space approach Thermoelasticity with energy dissipation Kumar, Roushan aut Enthalten in Archive of applied mechanics Springer-Verlag, 1991 80(2009), 8 vom: 16. Juli, Seite 869-881 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:80 year:2009 number:8 day:16 month:07 pages:869-881 https://doi.org/10.1007/s00419-009-0345-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_21 GBV_ILN_23 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_100 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 80 2009 8 16 07 869-881 |
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10.1007/s00419-009-0345-7 doi (DE-627)OLC2071051874 (DE-He213)s00419-009-0345-7-p DE-627 ger DE-627 rakwb eng 690 VZ Mukhopadhyay, Santwana verfasserin aut State-space approach to thermoelastic interactions in generalized thermoelasticity type III 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract The present work is attempted to formulate the state-space approach to the problems of thermoelastic interactions with energy dissipation on the basis of the theory of generalized thermoelasticity type-III, recently developed by Green and Naghdi. The formulation is then applied to solve a boundary value problem of an isotropic elastic half space with its plane boundary subjected to two different types of boundary conditions: (1) sudden increase in temperature and zero stress and (2) sudden increase in load and zero temperature change. Integral transform method is applied to obtain the solution of the problem. The short time approximated solutions for the field variables have been constructed analytically for both the cases. The problem is illustrated with the help of different graphs of numerical values of the field variables. Generalized thermoelasticity Half space State-space approach Thermoelasticity with energy dissipation Kumar, Roushan aut Enthalten in Archive of applied mechanics Springer-Verlag, 1991 80(2009), 8 vom: 16. Juli, Seite 869-881 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:80 year:2009 number:8 day:16 month:07 pages:869-881 https://doi.org/10.1007/s00419-009-0345-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_21 GBV_ILN_23 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_100 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 80 2009 8 16 07 869-881 |
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10.1007/s00419-009-0345-7 doi (DE-627)OLC2071051874 (DE-He213)s00419-009-0345-7-p DE-627 ger DE-627 rakwb eng 690 VZ Mukhopadhyay, Santwana verfasserin aut State-space approach to thermoelastic interactions in generalized thermoelasticity type III 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2009 Abstract The present work is attempted to formulate the state-space approach to the problems of thermoelastic interactions with energy dissipation on the basis of the theory of generalized thermoelasticity type-III, recently developed by Green and Naghdi. The formulation is then applied to solve a boundary value problem of an isotropic elastic half space with its plane boundary subjected to two different types of boundary conditions: (1) sudden increase in temperature and zero stress and (2) sudden increase in load and zero temperature change. Integral transform method is applied to obtain the solution of the problem. The short time approximated solutions for the field variables have been constructed analytically for both the cases. The problem is illustrated with the help of different graphs of numerical values of the field variables. Generalized thermoelasticity Half space State-space approach Thermoelasticity with energy dissipation Kumar, Roushan aut Enthalten in Archive of applied mechanics Springer-Verlag, 1991 80(2009), 8 vom: 16. Juli, Seite 869-881 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:80 year:2009 number:8 day:16 month:07 pages:869-881 https://doi.org/10.1007/s00419-009-0345-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_20 GBV_ILN_21 GBV_ILN_23 GBV_ILN_30 GBV_ILN_32 GBV_ILN_34 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_100 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2006 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2048 GBV_ILN_2057 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 GBV_ILN_4700 AR 80 2009 8 16 07 869-881 |
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690 VZ State-space approach to thermoelastic interactions in generalized thermoelasticity type III Generalized thermoelasticity Half space State-space approach Thermoelasticity with energy dissipation |
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State-space approach to thermoelastic interactions in generalized thermoelasticity type III |
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State-space approach to thermoelastic interactions in generalized thermoelasticity type III |
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Mukhopadhyay, Santwana |
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state-space approach to thermoelastic interactions in generalized thermoelasticity type iii |
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State-space approach to thermoelastic interactions in generalized thermoelasticity type III |
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Abstract The present work is attempted to formulate the state-space approach to the problems of thermoelastic interactions with energy dissipation on the basis of the theory of generalized thermoelasticity type-III, recently developed by Green and Naghdi. The formulation is then applied to solve a boundary value problem of an isotropic elastic half space with its plane boundary subjected to two different types of boundary conditions: (1) sudden increase in temperature and zero stress and (2) sudden increase in load and zero temperature change. Integral transform method is applied to obtain the solution of the problem. The short time approximated solutions for the field variables have been constructed analytically for both the cases. The problem is illustrated with the help of different graphs of numerical values of the field variables. © Springer-Verlag 2009 |
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Abstract The present work is attempted to formulate the state-space approach to the problems of thermoelastic interactions with energy dissipation on the basis of the theory of generalized thermoelasticity type-III, recently developed by Green and Naghdi. The formulation is then applied to solve a boundary value problem of an isotropic elastic half space with its plane boundary subjected to two different types of boundary conditions: (1) sudden increase in temperature and zero stress and (2) sudden increase in load and zero temperature change. Integral transform method is applied to obtain the solution of the problem. The short time approximated solutions for the field variables have been constructed analytically for both the cases. The problem is illustrated with the help of different graphs of numerical values of the field variables. © Springer-Verlag 2009 |
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Abstract The present work is attempted to formulate the state-space approach to the problems of thermoelastic interactions with energy dissipation on the basis of the theory of generalized thermoelasticity type-III, recently developed by Green and Naghdi. The formulation is then applied to solve a boundary value problem of an isotropic elastic half space with its plane boundary subjected to two different types of boundary conditions: (1) sudden increase in temperature and zero stress and (2) sudden increase in load and zero temperature change. Integral transform method is applied to obtain the solution of the problem. The short time approximated solutions for the field variables have been constructed analytically for both the cases. The problem is illustrated with the help of different graphs of numerical values of the field variables. © Springer-Verlag 2009 |
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