压电材料平面Ⅰ型裂纹模拟仿真分析  

Simulation analysis of plane typeΙcracks in piezoelectric materials

作　　者：梅杰[1] 宋钢 李立杰[1] 陈定方[1] 李杨[1] Mei Jie;Song Gang;Li Lijie;Chen Dingfang;Li Yang

机构地区：[1]武汉理工大学交通与物流工程学院,武汉430063

出　　处：《起重运输机械》2023年第17期58-65,共8页Hoisting and Conveying Machinery

基　　金：国家自然科学基金“柔性薄膜复合俘能器件可控制备工艺及界面损伤失效机理研究”(51805395);湖北省自然科学基金“柔性层合薄膜俘能器界面损伤萌生机制”(2018CFB218)。

摘　　要：文中利用复变函数知识,基于压电材料第二类本构方程推导了压电材料平面Ⅰ型裂纹尖端的应力场和电位移场及机械应变能释放率的解析解,采用虚拟闭合裂纹法和Abaqus软件对压电材料平面型裂纹进行模拟仿真分析,根据仿真结果得到的机械应变释放数值解,讨论了裂纹参数与施加力电载荷对裂纹扩展的影响。将仿真模拟的数值解与解析解相对比,数值解结果与解析解符合程度较好,验证了虚拟裂纹闭合法与有限元软件结合方法的有效性。Based on the knowledge of complex variables function and the second kind of constitutive equation of piezoelectric materials,the analytical solutions of stress field,electric displacement field and mechanical strain energy release rate at the I-shaped crack tip of piezoelectric materials were derived,and the planar cracks of piezoelectric materials were simulated and analyzed by virtual closed crack method and Abaqus software.According to the numerical solution of mechanical strain release obtained from the simulation results,the effects of crack parameters and applied force and electric load on crack propagation were discussed.The comparison between the numerical solution and the analytical solurtion of the simulation shows that the numerical solution is in good agreement with the analytical solution,which further verifies the effectiveness of the combination method of virtual crack closure method and finite element software.

关 键 词：压电材料 Ⅰ型裂纹 复变函数 虚拟闭合裂纹法 有限元 

分 类 号：O346.1[理学—固体力学]