裂纹面局部均布荷载下Ⅰ型裂纹有限宽板应力强度因子  

The Stress Intensity Factor of a Finite⁃Width Plate With a Mode⁃ⅠCenter Crack Subjected to Uniform Stress on the Crack Surface Near the Crack Tip

作　　者：李亚[1] 易志坚[1] 王敏[1] 苏康 LI Ya;YI Zhijian;WANG Min;SU Kang(School of Civil Engineering,Chongqing Jiaotong University,Chongqing 400074,P.R.China)

机构地区：[1]重庆交通大学土木工程学院,重庆400074

出　　处：《应用数学和力学》2020年第10期1083-1091,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金青年科学基金(51408091)。

摘　　要：采用应力强度因子的裂纹线求解方法,对裂纹面局部均布荷载作用下的Ⅰ型裂纹有限宽板应力强度因子进行了解析求解.其思路是:直接利用无限宽板裂纹问题应力场的解析解,求得应力分量在裂纹线上的形式,通过合理的修正,提出修正后的应力场在裂纹线应满足的条件;进而求解应力强度因子,得出了有限宽板对相应无限宽板的应力强度因子修正系数.当板宽趋于无限大时,得到的应力强度因子与相应的无限宽裂纹板的解答一致.With the crack line analysis method for stress intensity factors,the stress intensity factor of a finite⁃width plate with a mode⁃Ⅰcenter crack subjected to uniform stress on the crack surface near the crack tip was studied analytically.Through analytical solution of the stress field and correction of the stress components on the crack line of an infinite⁃width plate with a mode⁃Ⅰcrack under uniform stress on the crack surface near the crack tip,the correc⁃ted stress components on the crack line of the corresponding finite⁃width plate were further de⁃duced.Reasonable requirements on the corrected stress field at the crack line were proposed,the stress intensity factor of the finite⁃width plate was derived,and the correction coefficient of the stress intensity factor of the finite⁃width plate relative to the corresponding infinite⁃width plate was obtained.When the width of the finite⁃width plate approaches infinity,the stress in⁃tensity factor of the finite⁃width plate will be consistent with that of the corresponding infinite⁃width plate.

关 键 词：应力强度因子 有限宽板 裂纹 线场分析方法 

分 类 号：O346.1[理学—固体力学]