用杂交有限元法计算三维裂纹的应力强度因子  

A MIXED HYBRID FINITE ELEMENT METHOD FOR CALCULATING SIF OF 3D CRACK

作　　者：宋俐[1] 黄松梅[1] 田文叶 

机构地区：[1]西安交通大学建力学院,西安710049 [2]西安理工大学水利学院,西安710048

出　　处：《机械强度》1999年第4期313-315,共3页Journal of Mechanical Strength

摘　　要：根据放松了连续性要求的修正势能原理及裂纹尖端的应力、位移场，推导了杂交单元的单元刚度矩阵。用杂交元法计算了纯扭转载荷下带有环形裂纹的圆柱体的应力强度因子。计算结果表明，这种计算方法具有较高的精确度。用杂交元法计算了裂面上作用有弯、切、扭载荷试件的应力强度因子，这类试件可用于进行三维断裂准则的实验研究。A stiffness matrix of hybrid crack tip element is presented based on the modified variational principle with relaxed continuity requirements and the stress and displacement fields of crack tip zone. The stress intensity factors of torsional cylinder with ring crack are calculated. The results show that the mixed hybrid finite element method is of more accurate. Four points bend shear torsion specimens are analysed by the present method, which can provide the data for the experimental investigation of 3D crack problems.

关 键 词：三维断裂 应力强度因子 杂交有限元法 三维裂纹 

分 类 号：O346.1[理学—固体力学] O242.21[理学—力学]