平板表面裂纹开口位移与其深度关系的确定  

Determination of the relationship between the opening displacement of a surface crack and its depth in a plate

作　　者：田志刚[1] 陈景杰[1] 黄一[1] 藤本由纪夫[2] 

机构地区：[1]大连理工大学船舶工程系,辽宁大连116024 [2]日本广岛大学工学部VBL实验室

出　　处：《船舶力学》2008年第4期619-623,共5页Journal of Ship Mechanics

摘　　要：无限大三维弹性体内超奇异积分方程的解析解表明,位移间断与裂纹深度具有简单的比例系数关系。文章利用有限元法,对带有表面半椭圆型裂纹的平板结构进行计算,得到表面裂纹开口位移和名义应变的比值Δu/ε,与表面裂纹深度D,之间同样具有简单的比例系数关系。该比例系数相关于边界条件。据此,文中提出一种裂纹深度估算的方法,并给出实验验证。The analytical solution to the super singularity integral function for 3-D elastic body shows that there is a simple proportional relationship between the displacement difference and the crack depth.FE calculations are carried out on a plate with a surface crack,and calculation results illustrate that a same simple proportional relationship exists between the ratio of the crack mouth opening displacement （CMOD） to the nominal strain, △u/ε, and the crack depth, D. Boundary conditions have great influence on the proportional coefficient.A method to evaluate crack depth is proposed based on the relationship, and it is validated by an experiment.

关 键 词：位移间断 开口位移 裂纹深度 名义应变 有限元法 

分 类 号：U661.72[交通运输工程—船舶及航道工程]