摘要
从理论角度对断裂韧度厚度效应进行研究。在线弹性断裂力学与含裂纹板的二维位移场的基础上,给出分离变量型的具有待定函数的三维位移场的表达式,进而通过几何方程与物理方程获取三维应变场和三维应力场。进一步,通过虚位移原理,使用变分方法建立待定函数所应满足的支配方程与边界条件,从而确定待定函数。基于上述分析,建立一个断裂韧度与试样厚度关系的理论表达式。最后通过两种试验材料LY12CZ(L-T)与TC4(L-T)进行验证。
Based on two-dimensional displacement field of cracked plate in the linear elastic fracture mechanics, mathematical expression with tmknown function of three-dimensional displacement field are given in variable separating type. Then three-dimensional strain field and stress field are obtained. By means of equations of geometry and physics, the governing equations and boundary conditions of above unknown displacement function are formulated using variational method on the foundation of principle of virtual displacement. The displacement functions are solved by the above method. Three-dimensional effect analysis of cracked plate is conducted by the model of equivalent plane strain and equivalent plane stress sections and the theoretical formulas on the relation between fracture toughness and plate thickness are determined. Two kinds of test materials, LY12CZ（L-T）and TC4（L-T）, are used to verify the theoretical equation.
出处
《机械强度》
EI
CAS
CSCD
北大核心
2005年第5期672-680,共9页
Journal of Mechanical Strength
基金
教育部博士点基金资助项目(1999000607)。~~
关键词
断裂韧度
厚度效应
分离变量解法
虚位移原理
Fracture toughness
Thickness effect
Variable separating solution
Principle of virtual displacement
作者简介
Corresponding author ： YANG JiYun, E-mail：yhahay@sina.com.cn, Tel：＋86-10-82317508, Fax：＋86-10-82315644；杨继运，男，1975年9月生，山东省定陶县人，汉族。北京航空航天大学博士研究生，研究方向为断裂力学与损伤力学。
