摘要
文中研究了压电双材料在反平面载荷和平面内电载荷共同作用下的电弹场,运用边界配置法求解xoy平面为各向同性面的压电双材料在2种加载情况下的应力强度因子和能量释放率,并根据界面应力强度因子和能量释放率数值计算方法分析了材料尺寸比例、电位移D0、弹性模量、配点数及幂级数项数对应力强度因子和能量释放率的影响,得到了相应的关系变化曲线图。结果表明:在裂尖处应力具有1/2阶的奇异性;材料厚度越小裂纹长度越长,应力强度因子和能量释放率越大;能量释放率随材料弹性模量的增大而减小;配点数和幂级数项数对应力强度因子和能量释放率的影响不大,但随着配点数和幂级数项数增多数值趋于稳定,且更接近真实值。当配点数在35时,应力强度因子和能量释放率都趋于稳定,而幂级数项数分别在35、22时应力强度因子和能量释放率趋于稳定;当应力强度因子和能量释放率与外加电位移在加载情况不同时,有不同的曲线关系;该方法能够方便地计算多种加载情况下压电双材料裂尖的应力强度因子和能量释放率,能反映压电双材料的界面损伤特性,有利于压电智能结构在各行业应用推广。
In this paper,the electro-elastic field of piezoelectric bimaterials under the combined action of anti-plane load and in-plane electric load is studied.The boundary collocation method was used to solve the stress intensity factor and energy release rate of piezoelectric bimaterials with isotropic xoy plane under two kinds of loading conditions.By calculating the interfacial stress intensity factor and energy release rate,the effects of material size ratio,electric displacement D0,elastic modulus,number of allocated points and power series terms on the stress intensity factor and energy release rate were analyzed,and the corresponding relationship change curves were obtained.The results show that the stress at the crack tip has 1/2 order singularity;the smaller the material thickness,the longer the crack,and the greater the stress intensity factor and energy release rate.The energy release rate decreases with the increase of elastic modulus of materials;the number of allocated points and power series terms have little influence on the stress intensity factor and energy release rate,but the numerical value tends to be stable and closer to the actual value with the increase of allocated points and power series terms.When the number of allocated points is 35,the stress intensity factor and energy release rate tend to be stable,and when the number of power series terms is 35 and 22,the stress intensity factor and energy release rate tend to be stable.When the stress intensity factor,energy release rate and external electric displacement are different under loading conditions,the curve relationship will change;conveniently,through this method the stress intensity factor and energy release rate of the crack tip of piezoelectric bimaterials under various loading conditions are obtained,which can reflect the interface damage characteristics of piezoelectric biomaterials and is beneficial to the popularization of piezoelectric smart structures in various industries.
作者
梅杰
李杨
李立杰
陈定方
宋钢
Mei Jie;Li Yang;Li Lijie;Chen Dingfang;Song Gang
出处
《起重运输机械》
2023年第15期23-32,共10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)。
关键词
反平面界面裂纹
机电载荷
应力强度因子
能量释放率
anti-plane interface crack
electromechanical load
stress intensity factor
energy release rate
