孔洞对单边裂纹板裂纹扩展方向的影响
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摘要
平板内孔洞产生的应力集中会对板内裂纹扩展路径产生"吸引"作用,使其偏离原来直线方向。运用扩展有限元法研究了单边裂纹板内单孔洞的位置和大小对应力集中和裂纹扩展路径的影响以及双孔洞单边裂纹板内裂纹的扩展情况。同时引入应力影响系数来表征开孔边缘处应力对裂纹扩展路径所产生"吸引"作用的强弱,结果表明,在同一模型中应力影响系数的变化趋势和裂纹扩展路径偏转角的变化趋势一致。
The stress concentration caused by hole in the plate would produce " attraction" effect on the crack propagation path and makes it deviate from the original straight line. The extended finite element method( XFEM) was used to investigate the effect of the single hole' s position and size in single edgecracked plate on the stress concentration and crack propagation path,and the crack propagation with double holes in single edge-cracked plate.The strength of " attraction" on the crack propagation path from the concentrated stress at the edge of the hole was characterized with the stress influence coefficient.Results showed that the variation tendency of the stress influence coefficient and the variation trend of deflection angle of the crack propagation path were consistent in the same model.
The stress concentration caused by hole in the plate would produce " attraction" effect on the crack propagation path and makes it deviate from the original straight line. The extended finite element method( XFEM) was used to investigate the effect of the single hole' s position and size in single edgecracked plate on the stress concentration and crack propagation path,and the crack propagation with double holes in single edge-cracked plate.The strength of " attraction" on the crack propagation path from the concentrated stress at the edge of the hole was characterized with the stress influence coefficient.Results showed that the variation tendency of the stress influence coefficient and the variation trend of deflection angle of the crack propagation path were consistent in the same model.
引文
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[2]刘淑红,齐月芹,冯得得,等.含椭圆孔单边裂纹板的数值分析[J].机械工程学报,2012,48(20):83.
[3]刘滔文,胡忠举,彭成章,等.孔洞对2519A铝合金焊接接头裂纹扩展的影响[J].热加工工艺,2014,43(1):179.
[4]BELYTSCHKO T,BLACK T.Elastic crack growth in finite element with minimal re-meshing[J].International journal fo numerical methods in engineering,1999,45(5):601.
[5]MOES N,DOLBOW J,BELYTSCHKO T.A finite element method for crack growth without re-meshing[J].International journal fo numerical methods in engineering,1999,46(1):131.
[6]MARIANI S,PEREGO U.Extended finite element method for quasibrittle fracture[J].International journal for numerical methods in engineering,2003,58(1):103.
[7]杨志峰,周昌玉,代巧.基于扩展有限元法的弹塑性裂纹扩展研究[J].南京工业大学学报(自然科学版),2014,36(4):50.
[8]刘金祥,张华阳,李军.基于扩展有限元法的Ⅰ-Ⅱ复合型裂纹扩展研究[J].北京理工大学学报,2015,35(9):881.
[9]庄茁,柳占立,成斌斌,等.扩展有限单元法[M].北京:清华大学出版社,2012.
[10]KUMAR S,SINGH I,MISHRA B.Modeling and simulation of kinked cracks by virtual node XFEM[J].Computer methods in applied mechanics and engineering,2014,283:1425.
[11]刘剑,刘晓波,冯发强.基于扩展有限元法对含孔洞平板多裂纹扩展模拟研究[J].失效分析与预防,2013,8(6):326.
[12]刘展,钱英莉.ABAQUS有限元分析从入门到精通[M].北京:人民邮电出版社,2015.
[13]江丙云,孔祥宏,罗元元.ABAQUS工程实例详解[M].北京:人民邮电出版社,2014.