WAVE PROPAGATION IN PIEZOELECTRIC LAYERED STRUCTURE WITH FLEXOELECTRIC EFFECT TAKEN INTO CONSIDERATION
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- 英文论文题名：WAVE PROPAGATION IN PIEZOELECTRIC LAYERED STRUCTURE WITH FLEXOELECTRIC EFFECT TAKEN INTO CONSIDERATION
- 论文作者：Feng-yu JIAO ; Pei-jun WEI ; Yue-qiu LI
- 英文论文作者：Feng-yu JIAO ; Pei-jun WEI ; Yue-qiu LI ; Department of applied mechanics ; University of Science and Technology Beijing ; Department of applied mathmatics ; Qiqihar University
- 年：2016
- 作者机构：Department of applied mechanics, University of Science and Technology Beijing;Department of applied mathmatics, Qiqihar University;
- 英文论文关键词：Flexoelectric effect ; Dipolar traction ; Strain gradient ; Reflection and transmission ; Energy flux ratio
- 会议召开时间：2016-10-21
- 会议录名称：2016年全国压电和声波理论及器件应用研讨会论文摘要集
- 英文会议录名称：Abstract Book of 2016 Symposium on Piezoelectricity, Acoustic Waves and Device Applications
- 语种：英文
- 分类号：TM22
- 学会代码：AGLU
- 会议名称：2016年全国压电和声波理论及器件应用研讨会
- 会议地点：中国陕西西安
- 主办单位：中国力学学会、中国声学学会、IEEE UFFC分会
- 学会名称：中国力学学会
- 页数：2
- 文件大小：56k
- 原文格式：D
- 会议级别：全国
摘要
Background, Motivation and Objective In the classical piezoelectric elastic theory, the stress at a piezoelectric material point is assumed to be dependent upon the strain and electric field at same piezoelectric material point, and no characteristic length is included in the constitutive relations. Therefore, the classical piezoelectric elastic theory cannot describe the mechanical and electrical behave of piezoelectric material at the micro or nano scale and size effects. The find of the flexoelectric effects in piezoelectric solids and the potential applications at nanoscale electromechanical system make the investigation of acoustic wave propagation in the piezoelectric solid with the flexoelectric effects taken into consideration necessary. The influences of the flexoelectric effects on the wave propagation mode and the dispersive relations of these waves are therefore interesting. Statement of Contribution/Methods The reflection and transmission phenomenon of acoustic propagation at a piezoelectric half-space and through layered structure are considered. The piezoelectric solids are modeled by the generalized elastic theory with the strain gradient terms included in the constitutive relations to reflect the flexoelectric effects. Due to the flexoelectric effects, there are five kinds of wave propagation modes appeared instead of three propagation modes in the classic piezoelectric solids. Not only that, the traditional surface tractions should be modified as the monopolar surface tractions and the dipolar surface tractions. Accordingly, the traditional surface/interface conditions are replaced by the new surface/interface conditions when the flexoelectric effects are taken into consideration. Results Two boundary conditions(traction-free and electrically shorted/charge-free) and interface conditions with mechanically and dielectrically perfect and imperfect are considered in the present work. The amplitude ratios and energy flux ratios of the reflection waves and transmission waves with respect of the incident waves are computed numerically based on these non-traditional surface/interface conditions. The numerical results are validated by considering the energy conservation between the incident wave, reflection waves and the transmission waves. Discussion and Conclusions The flexoelectric effects in piezoelectric solids create new wave propagation modes, namely, the evanescent quasi longitudinal waves and quasi transverse waves, which degenerate to the P-type surface wave and S-type surface wave at the surface/interface of the piezoelectric solids. Not only that, the flexoelectric effects in piezoelectric solids also make the dispersive characteristic changed evidently. Therefore, the reflection and transmission properties are dependent upon the incident frequency and the incident wavelength. For the incident waves with high frequency or short wavelength, the flexoelectric effects are not ignored any more.
Background, Motivation and Objective In the classical piezoelectric elastic theory, the stress at a piezoelectric material point is assumed to be dependent upon the strain and electric field at same piezoelectric material point, and no characteristic length is included in the constitutive relations. Therefore, the classical piezoelectric elastic theory cannot describe the mechanical and electrical behave of piezoelectric material at the micro or nano scale and size effects. The find of the flexoelectric effects in piezoelectric solids and the potential applications at nanoscale electromechanical system make the investigation of acoustic wave propagation in the piezoelectric solid with the flexoelectric effects taken into consideration necessary. The influences of the flexoelectric effects on the wave propagation mode and the dispersive relations of these waves are therefore interesting. Statement of Contribution/Methods The reflection and transmission phenomenon of acoustic propagation at a piezoelectric half-space and through layered structure are considered. The piezoelectric solids are modeled by the generalized elastic theory with the strain gradient terms included in the constitutive relations to reflect the flexoelectric effects. Due to the flexoelectric effects, there are five kinds of wave propagation modes appeared instead of three propagation modes in the classic piezoelectric solids. Not only that, the traditional surface tractions should be modified as the monopolar surface tractions and the dipolar surface tractions. Accordingly, the traditional surface/interface conditions are replaced by the new surface/interface conditions when the flexoelectric effects are taken into consideration. Results Two boundary conditions(traction-free and electrically shorted/charge-free) and interface conditions with mechanically and dielectrically perfect and imperfect are considered in the present work. The amplitude ratios and energy flux ratios of the reflection waves and transmission waves with respect of the incident waves are computed numerically based on these non-traditional surface/interface conditions. The numerical results are validated by considering the energy conservation between the incident wave, reflection waves and the transmission waves. Discussion and Conclusions The flexoelectric effects in piezoelectric solids create new wave propagation modes, namely, the evanescent quasi longitudinal waves and quasi transverse waves, which degenerate to the P-type surface wave and S-type surface wave at the surface/interface of the piezoelectric solids. Not only that, the flexoelectric effects in piezoelectric solids also make the dispersive characteristic changed evidently. Therefore, the reflection and transmission properties are dependent upon the incident frequency and the incident wavelength. For the incident waves with high frequency or short wavelength, the flexoelectric effects are not ignored any more.
Background, Motivation and Objective In the classical piezoelectric elastic theory, the stress at a piezoelectric material point is assumed to be dependent upon the strain and electric field at same piezoelectric material point, and no characteristic length is included in the constitutive relations. Therefore, the classical piezoelectric elastic theory cannot describe the mechanical and electrical behave of piezoelectric material at the micro or nano scale and size effects. The find of the flexoelectric effects in piezoelectric solids and the potential applications at nanoscale electromechanical system make the investigation of acoustic wave propagation in the piezoelectric solid with the flexoelectric effects taken into consideration necessary. The influences of the flexoelectric effects on the wave propagation mode and the dispersive relations of these waves are therefore interesting. Statement of Contribution/Methods The reflection and transmission phenomenon of acoustic propagation at a piezoelectric half-space and through layered structure are considered. The piezoelectric solids are modeled by the generalized elastic theory with the strain gradient terms included in the constitutive relations to reflect the flexoelectric effects. Due to the flexoelectric effects, there are five kinds of wave propagation modes appeared instead of three propagation modes in the classic piezoelectric solids. Not only that, the traditional surface tractions should be modified as the monopolar surface tractions and the dipolar surface tractions. Accordingly, the traditional surface/interface conditions are replaced by the new surface/interface conditions when the flexoelectric effects are taken into consideration. Results Two boundary conditions(traction-free and electrically shorted/charge-free) and interface conditions with mechanically and dielectrically perfect and imperfect are considered in the present work. The amplitude ratios and energy flux ratios of the reflection waves and transmission waves with respect of the incident waves are computed numerically based on these non-traditional surface/interface conditions. The numerical results are validated by considering the energy conservation between the incident wave, reflection waves and the transmission waves. Discussion and Conclusions The flexoelectric effects in piezoelectric solids create new wave propagation modes, namely, the evanescent quasi longitudinal waves and quasi transverse waves, which degenerate to the P-type surface wave and S-type surface wave at the surface/interface of the piezoelectric solids. Not only that, the flexoelectric effects in piezoelectric solids also make the dispersive characteristic changed evidently. Therefore, the reflection and transmission properties are dependent upon the incident frequency and the incident wavelength. For the incident waves with high frequency or short wavelength, the flexoelectric effects are not ignored any more.
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