THE INTERNAL CRACK IN PIEZOELECTRICPIEZOMAGNETIC SANDWICHED STRUCTURE UNDER IN-PLANE COUPLE LOADING
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- 英文论文题名：THE INTERNAL CRACK IN PIEZOELECTRICPIEZOMAGNETIC SANDWICHED STRUCTURE UNDER IN-PLANE COUPLE LOADING
- 论文作者：Xing ZHAO ; Jin-xi LIU ; Zheng-hua QIAN
- 英文论文作者：Xing ZHAO ; Jin-xi LIU ; Zheng-hua QIAN ; Department of Engineering Mechanics/The Key Laboratory for Health Monitoring and Control of Large Structures ; Shijiazhuang Tiedao University ; State Key Laboratory of Mechanics and Control of Mechanical Structures/College of Aerospace Engineering ; Nanjing University of Aeronautics and Astronautics
- 年：2016
- 作者机构：Department of Engineering Mechanics/The Key Laboratory for Health Monitoring and Control of Large Structures, Shijiazhuang Tiedao University;State Key Laboratory of Mechanics and Control of Mechanical Structures/College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics;
- 英文论文关键词：Mode I crack ; Piezoelectric-piezomagnetic sandwiched structure ; Field intensity factors ; Cauchy singular integral equation
- 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：O346.1
- 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：11k
- 原文格式：D
- 会议级别：全国
摘要
Background, Motivation and Objective The piezoelectric-piezomagnetic(PE-PM) sandwiched structures are consisted of layered piezoelectric and piezomagnetic materials. They are easy to be manufactured and possess superior magnetoelectric(ME) coupling effect. With these superiorities, the PE-PM sandwiched structures have been widely used in sensors, transducers and acoustic wave devices and so on. However, due to the fragility of the materials and complicated in-service loading conditions, the PE-PM sandwiched structures tend to fracture easily. So, it is essential to research the internal crack in PE-PM sandwiched structures under electro-magneto-mechanical coupled loadings. However, up until now, there is no paper studies the mode-I crack in PE-PM-PE sandwiched structure under in-plane electro-mechanical coupled loading. From the above, considering the magnetic field of piezoelectric material and the electric field of piezomagnetic material, a mode-I internal crack problem of a PM layer bonded to two PE layers is studied in this paper. Statement of Contribution/Methods This paper contributes to obtaining an analytical solution by using the integral transform technique. Firstly, the Fourier transforms are applied to the governing equations, and a set of appropriate solutions are obtained with some unknown functions. Then, substituting the appropriate solutions into boundary conditions meanwhile considering the magnetoelectric permeable crack plane conditions, we could derive the dual integral equations after the complex mathematical process. In order to obtain the magneto-electro-elastic field in the near of the crack tip, the dual integral equations are reduced into the singular integral equations with Cauchy kernel of the second kind. Finally, the Cauchy singular integral equations will be solved by Gauss-Jacobi collocation method. Meanwhile, the field intensity factors(FIFs) could be obtained. Results In this paper, an integral transform technique is employed to reduce the associated mixed boundary-value problems to the Cauchy singular integral equations, and the field intensity factors are obtained to research the fracture behaviours. The numerical results show that the material parameters,the geometry size, and the loading conditions all have a great influence on the field intensity factors. The validity of the numerical results is illustrated by comparing with the existed analytical and numerical solutions. Discussion and Conclusions By discussing the numerical results, some significant conclusions can be obtained as follow: I. A softer exterior PE material can enhance the crack growth, while a stiffer exterior PE material will retard the crack growth. II. The FIFs decreases with the increase of the PM layer thickness when the exterior PE layer is softer than the interior PM layer. III. The FIFs decreases with the increase of the positive normalized electric field, while increases with the increase of the negative normalized electric field regardless of any material combination.
Background, Motivation and Objective The piezoelectric-piezomagnetic(PE-PM) sandwiched structures are consisted of layered piezoelectric and piezomagnetic materials. They are easy to be manufactured and possess superior magnetoelectric(ME) coupling effect. With these superiorities, the PE-PM sandwiched structures have been widely used in sensors, transducers and acoustic wave devices and so on. However, due to the fragility of the materials and complicated in-service loading conditions, the PE-PM sandwiched structures tend to fracture easily. So, it is essential to research the internal crack in PE-PM sandwiched structures under electro-magneto-mechanical coupled loadings. However, up until now, there is no paper studies the mode-I crack in PE-PM-PE sandwiched structure under in-plane electro-mechanical coupled loading. From the above, considering the magnetic field of piezoelectric material and the electric field of piezomagnetic material, a mode-I internal crack problem of a PM layer bonded to two PE layers is studied in this paper. Statement of Contribution/Methods This paper contributes to obtaining an analytical solution by using the integral transform technique. Firstly, the Fourier transforms are applied to the governing equations, and a set of appropriate solutions are obtained with some unknown functions. Then, substituting the appropriate solutions into boundary conditions meanwhile considering the magnetoelectric permeable crack plane conditions, we could derive the dual integral equations after the complex mathematical process. In order to obtain the magneto-electro-elastic field in the near of the crack tip, the dual integral equations are reduced into the singular integral equations with Cauchy kernel of the second kind. Finally, the Cauchy singular integral equations will be solved by Gauss-Jacobi collocation method. Meanwhile, the field intensity factors(FIFs) could be obtained. Results In this paper, an integral transform technique is employed to reduce the associated mixed boundary-value problems to the Cauchy singular integral equations, and the field intensity factors are obtained to research the fracture behaviours. The numerical results show that the material parameters,the geometry size, and the loading conditions all have a great influence on the field intensity factors. The validity of the numerical results is illustrated by comparing with the existed analytical and numerical solutions. Discussion and Conclusions By discussing the numerical results, some significant conclusions can be obtained as follow: I. A softer exterior PE material can enhance the crack growth, while a stiffer exterior PE material will retard the crack growth. II. The FIFs decreases with the increase of the PM layer thickness when the exterior PE layer is softer than the interior PM layer. III. The FIFs decreases with the increase of the positive normalized electric field, while increases with the increase of the negative normalized electric field regardless of any material combination.
Background, Motivation and Objective The piezoelectric-piezomagnetic(PE-PM) sandwiched structures are consisted of layered piezoelectric and piezomagnetic materials. They are easy to be manufactured and possess superior magnetoelectric(ME) coupling effect. With these superiorities, the PE-PM sandwiched structures have been widely used in sensors, transducers and acoustic wave devices and so on. However, due to the fragility of the materials and complicated in-service loading conditions, the PE-PM sandwiched structures tend to fracture easily. So, it is essential to research the internal crack in PE-PM sandwiched structures under electro-magneto-mechanical coupled loadings. However, up until now, there is no paper studies the mode-I crack in PE-PM-PE sandwiched structure under in-plane electro-mechanical coupled loading. From the above, considering the magnetic field of piezoelectric material and the electric field of piezomagnetic material, a mode-I internal crack problem of a PM layer bonded to two PE layers is studied in this paper. Statement of Contribution/Methods This paper contributes to obtaining an analytical solution by using the integral transform technique. Firstly, the Fourier transforms are applied to the governing equations, and a set of appropriate solutions are obtained with some unknown functions. Then, substituting the appropriate solutions into boundary conditions meanwhile considering the magnetoelectric permeable crack plane conditions, we could derive the dual integral equations after the complex mathematical process. In order to obtain the magneto-electro-elastic field in the near of the crack tip, the dual integral equations are reduced into the singular integral equations with Cauchy kernel of the second kind. Finally, the Cauchy singular integral equations will be solved by Gauss-Jacobi collocation method. Meanwhile, the field intensity factors(FIFs) could be obtained. Results In this paper, an integral transform technique is employed to reduce the associated mixed boundary-value problems to the Cauchy singular integral equations, and the field intensity factors are obtained to research the fracture behaviours. The numerical results show that the material parameters,the geometry size, and the loading conditions all have a great influence on the field intensity factors. The validity of the numerical results is illustrated by comparing with the existed analytical and numerical solutions. Discussion and Conclusions By discussing the numerical results, some significant conclusions can be obtained as follow: I. A softer exterior PE material can enhance the crack growth, while a stiffer exterior PE material will retard the crack growth. II. The FIFs decreases with the increase of the PM layer thickness when the exterior PE layer is softer than the interior PM layer. III. The FIFs decreases with the increase of the positive normalized electric field, while increases with the increase of the negative normalized electric field regardless of any material combination.
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