一种简便的含裂纹梁的有限元模型  

An Effective Finite Element Model of Cracked Beams

作　　者：吴国荣[1] 戎瑞亚[1] 刘俊梅[1] 

机构地区：[1]浙江海洋学院船舶与建筑工程学院,舟山316004

出　　处：《浙江海洋学院学报（自然科学版）》2010年第2期142-145,共4页Journal of Zhejiang Ocean University(Natural Science Edition)

摘　　要：研究了含裂纹梁的弯曲变形问题。建立了一种简便的含裂纹梁的有限元模型,基于断裂力学理论和力的平衡方程,利用柔度矩阵和刚度矩阵的物理含义,导出了含裂纹梁单元的刚度矩阵。基于Matlab软件进行了数值模拟运算,给出了裂纹对梁挠度的影响。The bending problems of cracked beams are studied in this paper. An effective finite element model of cracked beams is presented. Based on the fracture mechanics and the force balance equations, the stiffness matrix of cracked beam element is derived by using the physical meanings of flexibility matrix and stiffness matrix. The numerical simulation examples are performed based on the Matlab software, which gives the affect on the deflection of the beam by the crack.

关 键 词：裂纹 梁 断裂力学 有限元 

分 类 号：O33[理学—一般力学与力学基础]