压电材料中心裂纹问题

以电位移法向分量及电势连通过裂纹面为边界条件，对均匀电材料的裂纹问题及两种不同压材料界面裂纹问题进行了系统分析，得到了含中心裂纹无限大体封闭形的全场解。证实了裂纹引起的非均匀扰动场只信赖于外加场而外加电场无关。

CENTER CRACK PROBLEM OF PIEZOELECTRIC MATERIALS

An analysis for the problems of crack in homogeneo us piezoelectrics or on the interf aces of two dissimilar piezoelectr ic materials is presented based on the continuity of normal electric displacement and electric potential across the crack faces. The explic it analytic solutions are obtained for a single crack in piezoelectri cs or on the interfaces of piezoele ctric bimaterials. A class of boun dary problems involving many crack s is also solved. For homogeneous materials it is found that the nor mal electric displacement D 2 , i nduced by the crack, is constant a long the crack faces which depend s only on the applied remote stres s field. Within the crack slit, th e electric fields induced by the c rack are also constant and not aff ected by the applied electric fiel d. For the bimaterials with real H, the normal electric di splacement D 2 is constant along the crack faces and electric field E 2 has the singularity ahead of the crack tip and has a jump acros s the interface.