摘要
电弹性材料已很久并广泛地应用于传感器和变频等机电设备方面。利用渐近展开法对小周期复合材料结构中刻画压电现象的电势与位移得到了高阶双尺度渐近展开式,建立了局部单胞内电场与位移场的相互耦合关系,并给出了压电复合材料均匀化物理参数的双尺度有限元计算方法。数值算例表明,简单的数值算例表明了公式和相关算法的有效性。
The electro-elastic materials have been used widely for a long time to fabricate many electromechanical devices such as transducers and sensors.By means of the asymptotic method,the high-order two-scale finite element approximations of electrical potential and displacement for structures of composite materials with small periodic perforated configuration under piezoelectric condition are given,and the coupled relation between the displacement field and the electric field within basic unit cell has been built.The formulations and their associated algorithmic treatments have been validated by the simple numerical examples.
出处
《压电与声光》
CAS
CSCD
北大核心
2011年第1期13-16,20,共5页
Piezoelectrics & Acoustooptics
基金
国家自然科学基金资助项目(10801042)
关键词
压电常数
双尺度方法
有限元方法
复合材料
均匀化
piezoelectric constants
two-scale method
finite element method
composites material
homogenization
