Generalized thermo-elastic waves propagating in bars with a rectangular cross-section
Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engin...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhang, B. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
The modified double orthogonal polynomial approach |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Berlin : Springer, 1929, 92(2021), 3 vom: 30. Nov., Seite 785-799 |
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| Übergeordnetes Werk: |
volume:92 ; year:2021 ; number:3 ; day:30 ; month:11 ; pages:785-799 |
| Links: |
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| DOI / URN: |
10.1007/s00419-021-02072-3 |
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| Katalog-ID: |
SPR046557857 |
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| 245 | 1 | 0 | |a Generalized thermo-elastic waves propagating in bars with a rectangular cross-section |
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| 520 | |a Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engineering, there are also a lot of two-dimensional structures, such as joist steel, straight bars and rings. However, rare attention is paid on thermo-elastic waves in these structures. Accordingly, in the context of Green–Lindsay (G–L) generalized thermo-elasticity theory, a modified double orthogonal polynomial approach is exploited to investigate thermo-elastic waves in bars with a rectangular cross-section. The dispersion, attenuation and displacement curves of thermo-elastic waves are illustrated. Subsequently, influences of the cross-section size and relaxation time on wave characteristics are analyzed. Results indicate that the cross-section size and relaxation time have a significant influence on thermo-elastic waves. The phase velocity and attenuation values of thermal wave modes decrease as the relaxation time increases. These results obtained can be utilized to guide the laser ultrasonic nondestructive testing for this kind of structures. | ||
| 650 | 4 | |a The modified double orthogonal polynomial approach |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Bars of rectangular cross-section |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a G–L model |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Dispersion curves |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Attenuation curves |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Li, L. J. |4 aut | |
| 700 | 1 | |a Yu, J. G. |4 aut | |
| 700 | 1 | |a Elmaimouni, L. |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Archive of applied mechanics |d Berlin : Springer, 1929 |g 92(2021), 3 vom: 30. Nov., Seite 785-799 |w (DE-627)27012618X |w (DE-600)1476349-7 |x 1432-0681 |7 nnns |
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10.1007/s00419-021-02072-3 doi (DE-627)SPR046557857 (SPR)s00419-021-02072-3-e DE-627 ger DE-627 rakwb eng Zhang, B. verfasserin aut Generalized thermo-elastic waves propagating in bars with a rectangular cross-section 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engineering, there are also a lot of two-dimensional structures, such as joist steel, straight bars and rings. However, rare attention is paid on thermo-elastic waves in these structures. Accordingly, in the context of Green–Lindsay (G–L) generalized thermo-elasticity theory, a modified double orthogonal polynomial approach is exploited to investigate thermo-elastic waves in bars with a rectangular cross-section. The dispersion, attenuation and displacement curves of thermo-elastic waves are illustrated. Subsequently, influences of the cross-section size and relaxation time on wave characteristics are analyzed. Results indicate that the cross-section size and relaxation time have a significant influence on thermo-elastic waves. The phase velocity and attenuation values of thermal wave modes decrease as the relaxation time increases. These results obtained can be utilized to guide the laser ultrasonic nondestructive testing for this kind of structures. The modified double orthogonal polynomial approach (dpeaa)DE-He213 Bars of rectangular cross-section (dpeaa)DE-He213 G–L model (dpeaa)DE-He213 Dispersion curves (dpeaa)DE-He213 Attenuation curves (dpeaa)DE-He213 Li, L. J. aut Yu, J. G. aut Elmaimouni, L. aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 92(2021), 3 vom: 30. Nov., Seite 785-799 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:92 year:2021 number:3 day:30 month:11 pages:785-799 https://dx.doi.org/10.1007/s00419-021-02072-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 92 2021 3 30 11 785-799 |
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10.1007/s00419-021-02072-3 doi (DE-627)SPR046557857 (SPR)s00419-021-02072-3-e DE-627 ger DE-627 rakwb eng Zhang, B. verfasserin aut Generalized thermo-elastic waves propagating in bars with a rectangular cross-section 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engineering, there are also a lot of two-dimensional structures, such as joist steel, straight bars and rings. However, rare attention is paid on thermo-elastic waves in these structures. Accordingly, in the context of Green–Lindsay (G–L) generalized thermo-elasticity theory, a modified double orthogonal polynomial approach is exploited to investigate thermo-elastic waves in bars with a rectangular cross-section. The dispersion, attenuation and displacement curves of thermo-elastic waves are illustrated. Subsequently, influences of the cross-section size and relaxation time on wave characteristics are analyzed. Results indicate that the cross-section size and relaxation time have a significant influence on thermo-elastic waves. The phase velocity and attenuation values of thermal wave modes decrease as the relaxation time increases. These results obtained can be utilized to guide the laser ultrasonic nondestructive testing for this kind of structures. The modified double orthogonal polynomial approach (dpeaa)DE-He213 Bars of rectangular cross-section (dpeaa)DE-He213 G–L model (dpeaa)DE-He213 Dispersion curves (dpeaa)DE-He213 Attenuation curves (dpeaa)DE-He213 Li, L. J. aut Yu, J. G. aut Elmaimouni, L. aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 92(2021), 3 vom: 30. Nov., Seite 785-799 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:92 year:2021 number:3 day:30 month:11 pages:785-799 https://dx.doi.org/10.1007/s00419-021-02072-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 92 2021 3 30 11 785-799 |
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10.1007/s00419-021-02072-3 doi (DE-627)SPR046557857 (SPR)s00419-021-02072-3-e DE-627 ger DE-627 rakwb eng Zhang, B. verfasserin aut Generalized thermo-elastic waves propagating in bars with a rectangular cross-section 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engineering, there are also a lot of two-dimensional structures, such as joist steel, straight bars and rings. However, rare attention is paid on thermo-elastic waves in these structures. Accordingly, in the context of Green–Lindsay (G–L) generalized thermo-elasticity theory, a modified double orthogonal polynomial approach is exploited to investigate thermo-elastic waves in bars with a rectangular cross-section. The dispersion, attenuation and displacement curves of thermo-elastic waves are illustrated. Subsequently, influences of the cross-section size and relaxation time on wave characteristics are analyzed. Results indicate that the cross-section size and relaxation time have a significant influence on thermo-elastic waves. The phase velocity and attenuation values of thermal wave modes decrease as the relaxation time increases. These results obtained can be utilized to guide the laser ultrasonic nondestructive testing for this kind of structures. The modified double orthogonal polynomial approach (dpeaa)DE-He213 Bars of rectangular cross-section (dpeaa)DE-He213 G–L model (dpeaa)DE-He213 Dispersion curves (dpeaa)DE-He213 Attenuation curves (dpeaa)DE-He213 Li, L. J. aut Yu, J. G. aut Elmaimouni, L. aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 92(2021), 3 vom: 30. Nov., Seite 785-799 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:92 year:2021 number:3 day:30 month:11 pages:785-799 https://dx.doi.org/10.1007/s00419-021-02072-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 92 2021 3 30 11 785-799 |
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10.1007/s00419-021-02072-3 doi (DE-627)SPR046557857 (SPR)s00419-021-02072-3-e DE-627 ger DE-627 rakwb eng Zhang, B. verfasserin aut Generalized thermo-elastic waves propagating in bars with a rectangular cross-section 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engineering, there are also a lot of two-dimensional structures, such as joist steel, straight bars and rings. However, rare attention is paid on thermo-elastic waves in these structures. Accordingly, in the context of Green–Lindsay (G–L) generalized thermo-elasticity theory, a modified double orthogonal polynomial approach is exploited to investigate thermo-elastic waves in bars with a rectangular cross-section. The dispersion, attenuation and displacement curves of thermo-elastic waves are illustrated. Subsequently, influences of the cross-section size and relaxation time on wave characteristics are analyzed. Results indicate that the cross-section size and relaxation time have a significant influence on thermo-elastic waves. The phase velocity and attenuation values of thermal wave modes decrease as the relaxation time increases. These results obtained can be utilized to guide the laser ultrasonic nondestructive testing for this kind of structures. The modified double orthogonal polynomial approach (dpeaa)DE-He213 Bars of rectangular cross-section (dpeaa)DE-He213 G–L model (dpeaa)DE-He213 Dispersion curves (dpeaa)DE-He213 Attenuation curves (dpeaa)DE-He213 Li, L. J. aut Yu, J. G. aut Elmaimouni, L. aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 92(2021), 3 vom: 30. Nov., Seite 785-799 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:92 year:2021 number:3 day:30 month:11 pages:785-799 https://dx.doi.org/10.1007/s00419-021-02072-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 92 2021 3 30 11 785-799 |
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10.1007/s00419-021-02072-3 doi (DE-627)SPR046557857 (SPR)s00419-021-02072-3-e DE-627 ger DE-627 rakwb eng Zhang, B. verfasserin aut Generalized thermo-elastic waves propagating in bars with a rectangular cross-section 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engineering, there are also a lot of two-dimensional structures, such as joist steel, straight bars and rings. However, rare attention is paid on thermo-elastic waves in these structures. Accordingly, in the context of Green–Lindsay (G–L) generalized thermo-elasticity theory, a modified double orthogonal polynomial approach is exploited to investigate thermo-elastic waves in bars with a rectangular cross-section. The dispersion, attenuation and displacement curves of thermo-elastic waves are illustrated. Subsequently, influences of the cross-section size and relaxation time on wave characteristics are analyzed. Results indicate that the cross-section size and relaxation time have a significant influence on thermo-elastic waves. The phase velocity and attenuation values of thermal wave modes decrease as the relaxation time increases. These results obtained can be utilized to guide the laser ultrasonic nondestructive testing for this kind of structures. The modified double orthogonal polynomial approach (dpeaa)DE-He213 Bars of rectangular cross-section (dpeaa)DE-He213 G–L model (dpeaa)DE-He213 Dispersion curves (dpeaa)DE-He213 Attenuation curves (dpeaa)DE-He213 Li, L. J. aut Yu, J. G. aut Elmaimouni, L. aut Enthalten in Archive of applied mechanics Berlin : Springer, 1929 92(2021), 3 vom: 30. Nov., Seite 785-799 (DE-627)27012618X (DE-600)1476349-7 1432-0681 nnns volume:92 year:2021 number:3 day:30 month:11 pages:785-799 https://dx.doi.org/10.1007/s00419-021-02072-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 92 2021 3 30 11 785-799 |
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Zhang, B. |
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Generalized thermo-elastic waves propagating in bars with a rectangular cross-section The modified double orthogonal polynomial approach (dpeaa)DE-He213 Bars of rectangular cross-section (dpeaa)DE-He213 G–L model (dpeaa)DE-He213 Dispersion curves (dpeaa)DE-He213 Attenuation curves (dpeaa)DE-He213 |
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generalized thermo-elastic waves propagating in bars with a rectangular cross-section |
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Generalized thermo-elastic waves propagating in bars with a rectangular cross-section |
| abstract |
Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engineering, there are also a lot of two-dimensional structures, such as joist steel, straight bars and rings. However, rare attention is paid on thermo-elastic waves in these structures. Accordingly, in the context of Green–Lindsay (G–L) generalized thermo-elasticity theory, a modified double orthogonal polynomial approach is exploited to investigate thermo-elastic waves in bars with a rectangular cross-section. The dispersion, attenuation and displacement curves of thermo-elastic waves are illustrated. Subsequently, influences of the cross-section size and relaxation time on wave characteristics are analyzed. Results indicate that the cross-section size and relaxation time have a significant influence on thermo-elastic waves. The phase velocity and attenuation values of thermal wave modes decrease as the relaxation time increases. These results obtained can be utilized to guide the laser ultrasonic nondestructive testing for this kind of structures. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
| abstractGer |
Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engineering, there are also a lot of two-dimensional structures, such as joist steel, straight bars and rings. However, rare attention is paid on thermo-elastic waves in these structures. Accordingly, in the context of Green–Lindsay (G–L) generalized thermo-elasticity theory, a modified double orthogonal polynomial approach is exploited to investigate thermo-elastic waves in bars with a rectangular cross-section. The dispersion, attenuation and displacement curves of thermo-elastic waves are illustrated. Subsequently, influences of the cross-section size and relaxation time on wave characteristics are analyzed. Results indicate that the cross-section size and relaxation time have a significant influence on thermo-elastic waves. The phase velocity and attenuation values of thermal wave modes decrease as the relaxation time increases. These results obtained can be utilized to guide the laser ultrasonic nondestructive testing for this kind of structures. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
| abstract_unstemmed |
Abstract With the rapid development and application of the laser ultrasonic technology in nondestructive testing in recent years, thermo-elastic waves in diverse waveguides have captured a multitude of attention. However, they are mainly focused on one-dimensional and half-space structures. In engineering, there are also a lot of two-dimensional structures, such as joist steel, straight bars and rings. However, rare attention is paid on thermo-elastic waves in these structures. Accordingly, in the context of Green–Lindsay (G–L) generalized thermo-elasticity theory, a modified double orthogonal polynomial approach is exploited to investigate thermo-elastic waves in bars with a rectangular cross-section. The dispersion, attenuation and displacement curves of thermo-elastic waves are illustrated. Subsequently, influences of the cross-section size and relaxation time on wave characteristics are analyzed. Results indicate that the cross-section size and relaxation time have a significant influence on thermo-elastic waves. The phase velocity and attenuation values of thermal wave modes decrease as the relaxation time increases. These results obtained can be utilized to guide the laser ultrasonic nondestructive testing for this kind of structures. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
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Generalized thermo-elastic waves propagating in bars with a rectangular cross-section |
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https://dx.doi.org/10.1007/s00419-021-02072-3 |
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Li, L. J. Yu, J. G. Elmaimouni, L. |
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10.1007/s00419-021-02072-3 |
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2024-07-03T23:14:48.989Z |
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| score |
7.400278 |