摘要
应用关于压电材料的Stroh方法以及Fourier分析和奇异积分方程技术,研究了压电体光滑接触界面有局部分离时的滑移脉冲波传播问题,分析了其存在的判据.压电体由单向压应力作用而光滑接触并处于一定强度的电场中.待求问题最终转化为含Cauchy核的奇异积分方程组,并给出其解析解.数值计算结果表明:光滑接触界面上有局部分离的滑移脉冲波普遍存在,且界面法向面力和法向电位移在局部分离区两端有奇异性;对某些特殊的材料组合,外载荷不影响滑移脉冲波的存在性.
The Stroh formalism of piezoelectric materials, Fourier analysis and singular integral equation technique were used to investigate the existence of a pulse at the frictionless interface in presence of local separation between two contact piezoelectric solids. The two solids were pressed together by uniaxial tractions and laid in the electric field. The problem was cast into a set of Cauchy singular integral equations of which the closed-form solutions were derived. The numerical discussion on the existence of such a slip pulse was presented. The results show that such a slip pulse, which has squareroot singularities at both ends of the local separation zone, can propagate in most material combinations. And the existence of such a slip pulse will not be affected by the applied mechanical and electric fields in some special material combinations.
出处
《应用数学和力学》
CSCD
北大核心
2007年第9期1095-1101,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10372001)
关键词
压电材料
脉冲波
Stroh方法
奇异积分方程
界面
piezoelectric material
slip pulse
Stroh formalism
singular integral equation
interface
