Holes and cracks in piezoelectric materials

• Main Authors: Yan-Chu Liang, 梁燕祝
• Other Authors: Chyanbin Hwu
• Format: Others
• Language: zh-TW
• Published: 1993
• Online Access: http://ndltd.ncl.edu.tw/handle/59831509867418920244

碩士 === 國立成功大學 === 航空太空工程學系 === 81 === Among several formulations for anisotropic elasticity, Stroh's formalism has been proved to be powerful and elegant in solving two-dimensional problems, and it has also been extended to deal with the piezoelectric materials in recent years. In this thesis, the Stroh's formalism is used to analyze the variation of stresses and electric field under machanical loading and electric dispacements for the piezoelectric material which contains holes and cracks . First of all, we study the phenomena of stresses\ electric displacements, displacements\electric potential energy for the materials containing elliptic holes under arbitrary loading\electric displacements appling on the edges of holes. The general solutions can be simplified into three special cases : 1. uniform loads\electric displacements ; 2. pure bending; 3. concentrated loading\electric charge. The solutions can also be applicable to homogeneous crack problems by letting the minor axis of the ellipse tend to zero. We can obtain the stress electric displacement intensity factors of piezoelectric materials. Meanwhile, by using the analytical continuation method , the interfacial cracks of piezoelectric bimaterial problems can be solved. Some analytical solutions of special examples are such as : 1. semi-infinite crack subjected to a point load\ electric charge. 2. finite crack subjected to a point load\ electric charge. 3. finite crack subjected to uniform loading\ electric displacement.