Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures

The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM d...
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Gespeichert in:

Autor*in:	Liu, Cancan [verfasserIn] Yu, Jiangong [verfasserIn] Zhang, Xiaoming [verfasserIn] Zhang, Bo [verfasserIn] Elmaimouni, L. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	Piezoelectric microstructure Functionally graded material Legendre orthogonal polynomial Reflection behavior Anisotropic structure Couple stress theory

Übergeordnetes Werk:	Enthalten in: European journal of mechanics / A - Paris : Elsevier, 1998, 81
Übergeordnetes Werk:	volume:81

DOI / URN:	10.1016/j.euromechsol.2020.103955

Katalog-ID:	ELV003796590

Internformat


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520			\|a The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM does not require delamination and calculation of the displacements of each partial wave. It is more suitable for solving FGP microstructure. The solutions of the incident P wave and SH wave with the consideration of open-circuit surface and short-circuit surface electrical boundaries are illustrated, respectively. The convergence of the polynomial series method is analyzed through numerical examples. The influences of the length scale parameters, gradient shapes and different electrical boundaries on the reflection behaviors are discussed. It is found that the couple stress can increase the propagation velocity of SH waves in the microstructures, and then reduce the critical angle of the total reflection of the incident SH wave.
650		4	\|a Piezoelectric microstructure
650		4	\|a Functionally graded material
650		4	\|a Legendre orthogonal polynomial
650		4	\|a Reflection behavior
650		4	\|a Anisotropic structure
650		4	\|a Couple stress theory
700	1		\|a Yu, Jiangong \|e verfasserin \|4 aut
700	1		\|a Zhang, Xiaoming \|e verfasserin \|4 aut
700	1		\|a Zhang, Bo \|e verfasserin \|4 aut
700	1		\|a Elmaimouni, L. \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t European journal of mechanics / A \|d Paris : Elsevier, 1998 \|g 81 \|h Online-Ressource \|w (DE-627)320593843 \|w (DE-600)2019284-8 \|w (DE-576)116451807 \|x 1873-7285 \|7 nnns
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936	b	k	\|a 50.31 \|j Technische Mechanik
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Indexfelder

author_variant	c l cl j y jy x z xz b z bz l e le
matchkey_str	article:18737285:2020----::elcineairflsiwvsnhfntoalgaepeo
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publishDate	2020
allfields	10.1016/j.euromechsol.2020.103955 doi (DE-627)ELV003796590 (ELSEVIER)S0997-7538(19)30662-X DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Liu, Cancan verfasserin aut Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM does not require delamination and calculation of the displacements of each partial wave. It is more suitable for solving FGP microstructure. The solutions of the incident P wave and SH wave with the consideration of open-circuit surface and short-circuit surface electrical boundaries are illustrated, respectively. The convergence of the polynomial series method is analyzed through numerical examples. The influences of the length scale parameters, gradient shapes and different electrical boundaries on the reflection behaviors are discussed. It is found that the couple stress can increase the propagation velocity of SH waves in the microstructures, and then reduce the critical angle of the total reflection of the incident SH wave. Piezoelectric microstructure Functionally graded material Legendre orthogonal polynomial Reflection behavior Anisotropic structure Couple stress theory Yu, Jiangong verfasserin aut Zhang, Xiaoming verfasserin aut Zhang, Bo verfasserin aut Elmaimouni, L. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 81 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:81 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 81
spelling	10.1016/j.euromechsol.2020.103955 doi (DE-627)ELV003796590 (ELSEVIER)S0997-7538(19)30662-X DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Liu, Cancan verfasserin aut Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM does not require delamination and calculation of the displacements of each partial wave. It is more suitable for solving FGP microstructure. The solutions of the incident P wave and SH wave with the consideration of open-circuit surface and short-circuit surface electrical boundaries are illustrated, respectively. The convergence of the polynomial series method is analyzed through numerical examples. The influences of the length scale parameters, gradient shapes and different electrical boundaries on the reflection behaviors are discussed. It is found that the couple stress can increase the propagation velocity of SH waves in the microstructures, and then reduce the critical angle of the total reflection of the incident SH wave. Piezoelectric microstructure Functionally graded material Legendre orthogonal polynomial Reflection behavior Anisotropic structure Couple stress theory Yu, Jiangong verfasserin aut Zhang, Xiaoming verfasserin aut Zhang, Bo verfasserin aut Elmaimouni, L. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 81 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:81 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 81
allfields_unstemmed	10.1016/j.euromechsol.2020.103955 doi (DE-627)ELV003796590 (ELSEVIER)S0997-7538(19)30662-X DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Liu, Cancan verfasserin aut Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM does not require delamination and calculation of the displacements of each partial wave. It is more suitable for solving FGP microstructure. The solutions of the incident P wave and SH wave with the consideration of open-circuit surface and short-circuit surface electrical boundaries are illustrated, respectively. The convergence of the polynomial series method is analyzed through numerical examples. The influences of the length scale parameters, gradient shapes and different electrical boundaries on the reflection behaviors are discussed. It is found that the couple stress can increase the propagation velocity of SH waves in the microstructures, and then reduce the critical angle of the total reflection of the incident SH wave. Piezoelectric microstructure Functionally graded material Legendre orthogonal polynomial Reflection behavior Anisotropic structure Couple stress theory Yu, Jiangong verfasserin aut Zhang, Xiaoming verfasserin aut Zhang, Bo verfasserin aut Elmaimouni, L. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 81 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:81 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 81
allfieldsGer	10.1016/j.euromechsol.2020.103955 doi (DE-627)ELV003796590 (ELSEVIER)S0997-7538(19)30662-X DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Liu, Cancan verfasserin aut Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM does not require delamination and calculation of the displacements of each partial wave. It is more suitable for solving FGP microstructure. The solutions of the incident P wave and SH wave with the consideration of open-circuit surface and short-circuit surface electrical boundaries are illustrated, respectively. The convergence of the polynomial series method is analyzed through numerical examples. The influences of the length scale parameters, gradient shapes and different electrical boundaries on the reflection behaviors are discussed. It is found that the couple stress can increase the propagation velocity of SH waves in the microstructures, and then reduce the critical angle of the total reflection of the incident SH wave. Piezoelectric microstructure Functionally graded material Legendre orthogonal polynomial Reflection behavior Anisotropic structure Couple stress theory Yu, Jiangong verfasserin aut Zhang, Xiaoming verfasserin aut Zhang, Bo verfasserin aut Elmaimouni, L. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 81 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:81 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 81
allfieldsSound	10.1016/j.euromechsol.2020.103955 doi (DE-627)ELV003796590 (ELSEVIER)S0997-7538(19)30662-X DE-627 ger DE-627 rda eng 530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Liu, Cancan verfasserin aut Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM does not require delamination and calculation of the displacements of each partial wave. It is more suitable for solving FGP microstructure. The solutions of the incident P wave and SH wave with the consideration of open-circuit surface and short-circuit surface electrical boundaries are illustrated, respectively. The convergence of the polynomial series method is analyzed through numerical examples. The influences of the length scale parameters, gradient shapes and different electrical boundaries on the reflection behaviors are discussed. It is found that the couple stress can increase the propagation velocity of SH waves in the microstructures, and then reduce the critical angle of the total reflection of the incident SH wave. Piezoelectric microstructure Functionally graded material Legendre orthogonal polynomial Reflection behavior Anisotropic structure Couple stress theory Yu, Jiangong verfasserin aut Zhang, Xiaoming verfasserin aut Zhang, Bo verfasserin aut Elmaimouni, L. verfasserin aut Enthalten in European journal of mechanics / A Paris : Elsevier, 1998 81 Online-Ressource (DE-627)320593843 (DE-600)2019284-8 (DE-576)116451807 1873-7285 nnns volume:81 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.31 Technische Mechanik 51.32 Werkstoffmechanik 33.11 Mechanik AR 81
language	English
source	Enthalten in European journal of mechanics / A 81 volume:81
sourceStr	Enthalten in European journal of mechanics / A 81 volume:81
format_phy_str_mv	Article
bklname	Technische Mechanik Werkstoffmechanik Mechanik
institution	findex.gbv.de
topic_facet	Piezoelectric microstructure Functionally graded material Legendre orthogonal polynomial Reflection behavior Anisotropic structure Couple stress theory
dewey-raw	530
isfreeaccess_bool	false
container_title	European journal of mechanics / A
authorswithroles_txt_mv	Liu, Cancan @@aut@@ Yu, Jiangong @@aut@@ Zhang, Xiaoming @@aut@@ Zhang, Bo @@aut@@ Elmaimouni, L. @@aut@@
publishDateDaySort_date	2020-01-01T00:00:00Z
hierarchy_top_id	320593843
dewey-sort	3530
id	ELV003796590
language_de	englisch
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author	Liu, Cancan
spellingShingle	Liu, Cancan ddc 530 bkl 50.31 bkl 51.32 bkl 33.11 misc Piezoelectric microstructure misc Functionally graded material misc Legendre orthogonal polynomial misc Reflection behavior misc Anisotropic structure misc Couple stress theory Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures
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topic_title	530 DE-600 50.31 bkl 51.32 bkl 33.11 bkl Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures Piezoelectric microstructure Functionally graded material Legendre orthogonal polynomial Reflection behavior Anisotropic structure Couple stress theory
topic	ddc 530 bkl 50.31 bkl 51.32 bkl 33.11 misc Piezoelectric microstructure misc Functionally graded material misc Legendre orthogonal polynomial misc Reflection behavior misc Anisotropic structure misc Couple stress theory
topic_unstemmed	ddc 530 bkl 50.31 bkl 51.32 bkl 33.11 misc Piezoelectric microstructure misc Functionally graded material misc Legendre orthogonal polynomial misc Reflection behavior misc Anisotropic structure misc Couple stress theory
topic_browse	ddc 530 bkl 50.31 bkl 51.32 bkl 33.11 misc Piezoelectric microstructure misc Functionally graded material misc Legendre orthogonal polynomial misc Reflection behavior misc Anisotropic structure misc Couple stress theory
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title	Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures
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title_full	Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures
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title_sort	reflection behavior of elastic waves in the functionally graded piezoelectric microstructures
title_auth	Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures
abstract	The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM does not require delamination and calculation of the displacements of each partial wave. It is more suitable for solving FGP microstructure. The solutions of the incident P wave and SH wave with the consideration of open-circuit surface and short-circuit surface electrical boundaries are illustrated, respectively. The convergence of the polynomial series method is analyzed through numerical examples. The influences of the length scale parameters, gradient shapes and different electrical boundaries on the reflection behaviors are discussed. It is found that the couple stress can increase the propagation velocity of SH waves in the microstructures, and then reduce the critical angle of the total reflection of the incident SH wave.
abstractGer	The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM does not require delamination and calculation of the displacements of each partial wave. It is more suitable for solving FGP microstructure. The solutions of the incident P wave and SH wave with the consideration of open-circuit surface and short-circuit surface electrical boundaries are illustrated, respectively. The convergence of the polynomial series method is analyzed through numerical examples. The influences of the length scale parameters, gradient shapes and different electrical boundaries on the reflection behaviors are discussed. It is found that the couple stress can increase the propagation velocity of SH waves in the microstructures, and then reduce the critical angle of the total reflection of the incident SH wave.
abstract_unstemmed	The reflection behaviors of elastic waves in the functionally graded piezoelectric (FGP) microstructures are studied based on the modified couple stress theory. The extended Legendre orthogonal polynomial method (LOPM) is employed to obtain the analytical solutions of governing equations. The LOPM does not require delamination and calculation of the displacements of each partial wave. It is more suitable for solving FGP microstructure. The solutions of the incident P wave and SH wave with the consideration of open-circuit surface and short-circuit surface electrical boundaries are illustrated, respectively. The convergence of the polynomial series method is analyzed through numerical examples. The influences of the length scale parameters, gradient shapes and different electrical boundaries on the reflection behaviors are discussed. It is found that the couple stress can increase the propagation velocity of SH waves in the microstructures, and then reduce the critical angle of the total reflection of the incident SH wave.
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title_short	Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures
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Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures

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