摘要
对在双轴压缩作用下,考虑裂纹面间摩擦力的无限大板中双裂纹与单裂纹的应力强度因子解析解进行对比分析。结果表明,裂纹面间的摩擦力对多裂纹应力强度因子的修正系数是没有影响的,只对有效剪应力产生影响。以无限板周期裂纹的解为例,将该解析解作为有限板共线多裂纹应力强度因子的近似理论解,运用有限元数值计算有限板共线双裂纹的应力强度因子,并将其结果与近似理论解进行对比分析。计算结果表明,有限板共线双裂纹应力强度因子的近似理论解与通过有限元法计算得到的数值解基本吻合,验证裂纹面间摩擦力对应力强度因子的修正系数没有影响,裂纹面间无摩擦力时多裂纹相互影响引起的修正系数可以作为考虑裂纹面间摩擦力时的修正系数。
Under biaxial compression,considering the friction between crack surfaces,the comparison analysis of stress intensity factor analytical solution in double and single crack in infinite plate show that： friction on crack surfaces have no impact on the correction factor of stress intensity factor on multi-cracks,yet have an effect on effective shearing stress.For example,the solution of infinite plane with cycle crack was acted as the approximate theory solution of stress intensity factor in finite plane with collinear multi-cracks.The stress intensity factor of finite plane with two collinear cracks was calculated using the finite element method,and compared with the approximate theory solution.The calculation result show that： the approximate theory solution of the finite plane with two collinear cracks is basically consistent with the numerical solution calculated by the finite element method,and the conclusion that the friction have no effect on correction factor is further verified,the frictionless correction factor caused by the interaction of multi-cracks can be acted as the correction factor considering the friction.
出处
《机械强度》
CAS
CSCD
北大核心
2012年第2期282-286,共5页
Journal of Mechanical Strength
关键词
应力强度因子
有限板
双轴压缩
共线多裂纹
裂纹表面摩擦力
修正系数
Stress intensity factor
Finite plate
Biaxial compression
Collinear multi-cracks
Crack surface friction
Correction factor
