THE INFLUENCE OF MAXWELL STRESS ON THE FRACTURE MECHANICS OF 2D PIEZOELECTRIC MATERIALS BASED ON THE PS MODEL
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- 英文论文题名：THE INFLUENCE OF MAXWELL STRESS ON THE FRACTURE MECHANICS OF 2D PIEZOELECTRIC MATERIALS BASED ON THE PS MODEL
- 论文作者：Yu-hao LI ; Lu-qiao QI ; Cun-fa GAO
- 英文论文作者：Yu-hao LI ; Lu-qiao QI ; Cun-fa GAO ; State Key Laboratory of Mechanics and Control of Mechanical Structures ; Nanjing University of Aeronautics and Astronautics
- 年：2016
- 作者机构：State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics;
- 英文论文关键词：Piezoelectric fracture ; Maxwell stress ; Polarization saturation(PS) model ; Semi-permeable crack ; Stress intensity factor
- 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：TB34;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：115k
- 原文格式：D
- 会议级别：全国
摘要
Background, Motivation and Objective Piezoelectric materials have widespread applications in modern technology. However, piezoelectric materials have their drawbacks which are their inherent brittleness and low fracture toughness. Hence, much attention has been devoted to the failure analysis of piezoelectric materials for the last several decades. This paper considers the influence of Maxwell stress on a straight but non-linear polarization saturation(PS) crack in a 2D piezoelectric material under combined mechanical and electric loadings at infinity. The non-linear piezoelectric fracture mechanics model, which is the PS model, is adopted in this paper. We also assume the crack to be the electrically semi-permeable. Statement of Contribution/Methods Based on the Stroh's formalism and the dislocation modelling of a crack, we derive the relationships among the strip zone, the applied mechanical and electric loadings, the intensity factors of stresses and electric displacement and the local J-integral. The implicit expression of size of the electrically yielded zone and the electric displacement in the crack cavity are given. It is the first time that the Maxwell stress is taken into consideration in the non-linear PS model for a crack. Results Numerical results are given to discuss the effects of Maxwell stress on the intensity factors of stresses, the electric displacement and the size of the electrically yielded zone, respectively. The normalized stress intensity factor always increases as the applied mechanical loadings or the applied electric loadings increase. The electric displacement in the crack cavity decreases with the increased mechanical loading and the size of the electrically yielded zone increases with the mechanical loading. Discussion and Conclusions It is found that the Maxwell stress can relieve the crack growth under a given mechanical and electric loading. The effect of Maxwell stress on piezoelectric medium fracture is significant. Especially for the case of low mechanical loading and high electric loading applied at infinity, this stress has great influence on the normalized stress intensity factor, the electrically yielded zone and the electric displacement in the crack cavity.
Background, Motivation and Objective Piezoelectric materials have widespread applications in modern technology. However, piezoelectric materials have their drawbacks which are their inherent brittleness and low fracture toughness. Hence, much attention has been devoted to the failure analysis of piezoelectric materials for the last several decades. This paper considers the influence of Maxwell stress on a straight but non-linear polarization saturation(PS) crack in a 2D piezoelectric material under combined mechanical and electric loadings at infinity. The non-linear piezoelectric fracture mechanics model, which is the PS model, is adopted in this paper. We also assume the crack to be the electrically semi-permeable. Statement of Contribution/Methods Based on the Stroh's formalism and the dislocation modelling of a crack, we derive the relationships among the strip zone, the applied mechanical and electric loadings, the intensity factors of stresses and electric displacement and the local J-integral. The implicit expression of size of the electrically yielded zone and the electric displacement in the crack cavity are given. It is the first time that the Maxwell stress is taken into consideration in the non-linear PS model for a crack. Results Numerical results are given to discuss the effects of Maxwell stress on the intensity factors of stresses, the electric displacement and the size of the electrically yielded zone, respectively. The normalized stress intensity factor always increases as the applied mechanical loadings or the applied electric loadings increase. The electric displacement in the crack cavity decreases with the increased mechanical loading and the size of the electrically yielded zone increases with the mechanical loading. Discussion and Conclusions It is found that the Maxwell stress can relieve the crack growth under a given mechanical and electric loading. The effect of Maxwell stress on piezoelectric medium fracture is significant. Especially for the case of low mechanical loading and high electric loading applied at infinity, this stress has great influence on the normalized stress intensity factor, the electrically yielded zone and the electric displacement in the crack cavity.
Background, Motivation and Objective Piezoelectric materials have widespread applications in modern technology. However, piezoelectric materials have their drawbacks which are their inherent brittleness and low fracture toughness. Hence, much attention has been devoted to the failure analysis of piezoelectric materials for the last several decades. This paper considers the influence of Maxwell stress on a straight but non-linear polarization saturation(PS) crack in a 2D piezoelectric material under combined mechanical and electric loadings at infinity. The non-linear piezoelectric fracture mechanics model, which is the PS model, is adopted in this paper. We also assume the crack to be the electrically semi-permeable. Statement of Contribution/Methods Based on the Stroh's formalism and the dislocation modelling of a crack, we derive the relationships among the strip zone, the applied mechanical and electric loadings, the intensity factors of stresses and electric displacement and the local J-integral. The implicit expression of size of the electrically yielded zone and the electric displacement in the crack cavity are given. It is the first time that the Maxwell stress is taken into consideration in the non-linear PS model for a crack. Results Numerical results are given to discuss the effects of Maxwell stress on the intensity factors of stresses, the electric displacement and the size of the electrically yielded zone, respectively. The normalized stress intensity factor always increases as the applied mechanical loadings or the applied electric loadings increase. The electric displacement in the crack cavity decreases with the increased mechanical loading and the size of the electrically yielded zone increases with the mechanical loading. Discussion and Conclusions It is found that the Maxwell stress can relieve the crack growth under a given mechanical and electric loading. The effect of Maxwell stress on piezoelectric medium fracture is significant. Especially for the case of low mechanical loading and high electric loading applied at infinity, this stress has great influence on the normalized stress intensity factor, the electrically yielded zone and the electric displacement in the crack cavity.
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