An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay
Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to ax...
Ausführliche Beschreibung
Autor*in: |
Kant, Shashi [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2016transfer abstract |
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Schlagwörter: |
Heat conduction with phase-lag |
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Umfang: |
15 |
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Übergeordnetes Werk: |
Enthalten in: 4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS - 2011, IJTS, Amsterdam [u.a.] |
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Übergeordnetes Werk: |
volume:110 ; year:2016 ; pages:159-173 ; extent:15 |
Links: |
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DOI / URN: |
10.1016/j.ijthermalsci.2016.06.028 |
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ELV040180255 |
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245 | 1 | 0 | |a An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay |
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520 | |a Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. | ||
520 | |a Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. | ||
650 | 7 | |a Heat conduction with phase-lag |2 Elsevier | |
650 | 7 | |a Coupled thermoelasticity |2 Elsevier | |
650 | 7 | |a Thermoelasticity with three phase-lags |2 Elsevier | |
650 | 7 | |a Non-Fourier heat conduction |2 Elsevier | |
650 | 7 | |a Dual phase-lag heat conduction |2 Elsevier | |
700 | 1 | |a Mukhopadhyay, Santwana |4 oth | |
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10.1016/j.ijthermalsci.2016.06.028 doi GBV00000000000138A.pica (DE-627)ELV040180255 (ELSEVIER)S1290-0729(15)30443-9 DE-627 ger DE-627 rakwb eng 530 620 530 DE-600 620 DE-600 610 VZ 610 VZ 44.44 bkl Kant, Shashi verfasserin aut An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay 2016transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Heat conduction with phase-lag Elsevier Coupled thermoelasticity Elsevier Thermoelasticity with three phase-lags Elsevier Non-Fourier heat conduction Elsevier Dual phase-lag heat conduction Elsevier Mukhopadhyay, Santwana oth Enthalten in Elsevier Science 4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS 2011 IJTS Amsterdam [u.a.] (DE-627)ELV015685845 volume:110 year:2016 pages:159-173 extent:15 https://doi.org/10.1016/j.ijthermalsci.2016.06.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.44 Parasitologie Medizin VZ AR 110 2016 159-173 15 045F 530 |
spelling |
10.1016/j.ijthermalsci.2016.06.028 doi GBV00000000000138A.pica (DE-627)ELV040180255 (ELSEVIER)S1290-0729(15)30443-9 DE-627 ger DE-627 rakwb eng 530 620 530 DE-600 620 DE-600 610 VZ 610 VZ 44.44 bkl Kant, Shashi verfasserin aut An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay 2016transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Heat conduction with phase-lag Elsevier Coupled thermoelasticity Elsevier Thermoelasticity with three phase-lags Elsevier Non-Fourier heat conduction Elsevier Dual phase-lag heat conduction Elsevier Mukhopadhyay, Santwana oth Enthalten in Elsevier Science 4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS 2011 IJTS Amsterdam [u.a.] (DE-627)ELV015685845 volume:110 year:2016 pages:159-173 extent:15 https://doi.org/10.1016/j.ijthermalsci.2016.06.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.44 Parasitologie Medizin VZ AR 110 2016 159-173 15 045F 530 |
allfields_unstemmed |
10.1016/j.ijthermalsci.2016.06.028 doi GBV00000000000138A.pica (DE-627)ELV040180255 (ELSEVIER)S1290-0729(15)30443-9 DE-627 ger DE-627 rakwb eng 530 620 530 DE-600 620 DE-600 610 VZ 610 VZ 44.44 bkl Kant, Shashi verfasserin aut An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay 2016transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Heat conduction with phase-lag Elsevier Coupled thermoelasticity Elsevier Thermoelasticity with three phase-lags Elsevier Non-Fourier heat conduction Elsevier Dual phase-lag heat conduction Elsevier Mukhopadhyay, Santwana oth Enthalten in Elsevier Science 4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS 2011 IJTS Amsterdam [u.a.] (DE-627)ELV015685845 volume:110 year:2016 pages:159-173 extent:15 https://doi.org/10.1016/j.ijthermalsci.2016.06.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.44 Parasitologie Medizin VZ AR 110 2016 159-173 15 045F 530 |
allfieldsGer |
10.1016/j.ijthermalsci.2016.06.028 doi GBV00000000000138A.pica (DE-627)ELV040180255 (ELSEVIER)S1290-0729(15)30443-9 DE-627 ger DE-627 rakwb eng 530 620 530 DE-600 620 DE-600 610 VZ 610 VZ 44.44 bkl Kant, Shashi verfasserin aut An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay 2016transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Heat conduction with phase-lag Elsevier Coupled thermoelasticity Elsevier Thermoelasticity with three phase-lags Elsevier Non-Fourier heat conduction Elsevier Dual phase-lag heat conduction Elsevier Mukhopadhyay, Santwana oth Enthalten in Elsevier Science 4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS 2011 IJTS Amsterdam [u.a.] (DE-627)ELV015685845 volume:110 year:2016 pages:159-173 extent:15 https://doi.org/10.1016/j.ijthermalsci.2016.06.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.44 Parasitologie Medizin VZ AR 110 2016 159-173 15 045F 530 |
allfieldsSound |
10.1016/j.ijthermalsci.2016.06.028 doi GBV00000000000138A.pica (DE-627)ELV040180255 (ELSEVIER)S1290-0729(15)30443-9 DE-627 ger DE-627 rakwb eng 530 620 530 DE-600 620 DE-600 610 VZ 610 VZ 44.44 bkl Kant, Shashi verfasserin aut An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay 2016transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. Heat conduction with phase-lag Elsevier Coupled thermoelasticity Elsevier Thermoelasticity with three phase-lags Elsevier Non-Fourier heat conduction Elsevier Dual phase-lag heat conduction Elsevier Mukhopadhyay, Santwana oth Enthalten in Elsevier Science 4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS 2011 IJTS Amsterdam [u.a.] (DE-627)ELV015685845 volume:110 year:2016 pages:159-173 extent:15 https://doi.org/10.1016/j.ijthermalsci.2016.06.028 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.44 Parasitologie Medizin VZ AR 110 2016 159-173 15 045F 530 |
language |
English |
source |
Enthalten in 4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS Amsterdam [u.a.] volume:110 year:2016 pages:159-173 extent:15 |
sourceStr |
Enthalten in 4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS Amsterdam [u.a.] volume:110 year:2016 pages:159-173 extent:15 |
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Heat conduction with phase-lag Coupled thermoelasticity Thermoelasticity with three phase-lags Non-Fourier heat conduction Dual phase-lag heat conduction |
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container_title |
4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS |
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Kant, Shashi @@aut@@ Mukhopadhyay, Santwana @@oth@@ |
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4 ONCE DAILY ALISPORIVIR (DEB025) PLUS PEGIFNALFA2A/RIBAVIRIN RESULTS IN SUPERIOR SUSTAINED VIROLOGIC RESPONSE (SVR24) IN CHRONIC HEPATITIS C GENOTYPE 1 TREATMENT NAIVE PATIENTS |
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an investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay |
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An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay |
abstract |
Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. |
abstractGer |
Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. |
abstract_unstemmed |
Present work is concerned with a recently proposed heat conduction model: an exact heat conduction model with a single delay term. The main purpose of this paper is to examine the effects of the single phase-lag parameter/delay term on wave propagation in an infinitely extended thick plate due to axisymmetric temperature distribution applied in the lower and upper surfaces of the plate. The problem is formulated by using the new heat conduction model in such a way that other existing models can be extracted as special cases. Potential function concept including the Laplace and Hankel Transform method is used to find the solution in the transformed domain. Inversion of Hankel Transform is done analytically to obtain the solution in Laplace transform domain. By using a suitable analytical approach, the complete analysis on the wave propagation and discontinuities of different wave fields are found out. Furthermore, a numerical method for the Laplace inversion is applied to obtain the distributions of different physical fields like, temperature, displacement and stresses in the middle plane of the plate. Analysis of the results obtained under new model along with a comparison of the respective results obtained in other models is presented in detailed way. The findings in the present work are believed to bring out some lights concerning the new heat conduction model that involves a single delay parameter. |
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An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay |
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