压电材料反平面界面裂纹的杂交元分析

基于奇异性电弹场数值特征解开发了一种新型反平面界面裂纹尖端单元。将新型单元与四节点压电P-S单元组装,求解从绝缘到导通的任意电边界条件下,压电结构反平面界面裂纹尖端电弹场的数值解。考察了层厚、载荷类型和裂纹面间电边界条件等对反平面界面裂纹尖端断裂参数的影响。算例证明新型单元能使P-S单元数显著降低,计算结果更为精确。

A hybrid element analysis of antiplane interface crack problems between boned piezoelectric layers

In order to obtain fracture criteria of interface crack with satisfactory precision,a super interface crack tip element is developed by using the numerical eigensolution for antiplane singular electroelastic fields.It should be pointed out that different electrical permeabilities can be easily realized in this new crack tip element by adjusting the permittivity between zero and infinity.Through integrating the super crack tip element into conventional elements,singular antiplane electroelastic fields and the associated stress and the electric displacement intensity factors for interface crack between bi-piezoelectric layers can be solved finally.The Validity of this approach is firstly verified by analyzing some benchmark examples,and it is proved that the present method yields convergent results with fewer elements.As application,some other examples for interface crack problems are also given,in which the effects of the layer thickness,the loading types,the crack length and the electrical boundary conditions and the electric displacement intensity factors,are investigated.