含裂纹的矩形截面压电材料反平面问题的应力场和电场

详细信息

STRESS FIELD AND ELECTRIC FIELD OF A PIEZOELECTRIC MATERIAL WITH A MODE-Ⅲ CRACK

School of Civil Engineering, Northern Jiaotong University, Beijing 100044, China;2. Shijiazhuang Railway Institute, Shijiazhuang 050043, China

摘要: 研究了含裂纹的矩形截面的压电材料在平面内电场和反平面荷载作用下的问题.得到了满足拉普拉斯方程、电渗透裂纹面边界条件的位移函数解和电势函数解,从而得到了电场和弹性场的基本解.最后,用边界配置法计算了应力强度因子和能量释放率.结果表明,这种半解析半数值的方法计算简便,而且具有足够的精确性和广泛的应用性.
- 压电材料 /
- Ⅲ型裂纹 /
- 边界配置法 /
- 应力强度因子 /
- 能量释放率
Abstract: A rectangular piezoelectric material with a mode-Ⅲ crack under the action of in-plane electric loading and anti-plane loading is investigated. General solutions are obtained, which satisfy both Laplace equation and the permeable crack conditions. A boundary collocation method is used to calculate the stress intensity factor and energy release rate. It is shown that the semi-analytical method is simple, accurate and widely applicable.
- piezoelectric material /
- mode-Ⅲ crack /
- boundary collocation method /
- stress intensity factor /
- energy release rate