双材料含桥联力Dugdale-Barenblatt模型的解析奇异单元

摘要

利用辛体系所提供的双材料楔形结合平面问题的解析辛本征展开通解与特解,构造出具有任意高阶精度的可用于双材料含桥联力Ⅰ型Dugdale-Barenblatt (D-B)模型界面裂纹分析的一类解析奇异单元.将奇异单元与常规单元相结合,就可有效地分析具有任意形状和荷载作用的含界面裂纹平面问题,并能方便地求解出界面D-B模型的塑性区长度和裂纹尖端张开位移(CTOD).数值算例表明,本方法具有计算量小、精度高的优点.%Based on the symplectic eigen-solutions and a special solution of the sectorial wedge dissimilar materials,an analytical singular element with arbitrary order accuracy was presented,which can be applied to analyzing bimaterial mode I interface crack under Dugdale-Barenblatt ( D-B) model with bridging tractions. Combined with conventional FEM ,the singular element can be used to obtain length of plastic zone and crack tip opening displacement (CTOD) in the D-B model. Numerical results show that the method possesses high accuracy with less calculation.