内部压力作用下无限大板中三角孔-边裂纹应力强度因子研究

Study on stress intensity factor of a triangle hole-crack problem in infinite plate subjected to internal pressure

利用已有文献中的杂交位移不连续边界元法,重点研究了内部压力作用下无限大板中三角孔-边裂纹问题;通过改变孔的几何参数,分析了孔的几何参数对应力强度因子的影响。结果表明:孔对源于其裂纹的应力强度因子具有屏蔽影响和放大影响;当尺寸参数ad ≥adc(adc为某一定值)时,三角孔对源于其裂纹的应力强度因子具有屏蔽影响,并且三角孔尺寸越接近裂纹尺寸,这种屏蔽影响越强烈;当参数 ad≤adc时,三角孔对源于其裂纹的应力强度因子具有放大影响,并且在参数 ad=adm(adm为某一定值)处,这种放大影响达到最大。本文所得结果在工程上具有重要意义。

This paper deals with a crack emanating from a triangle hole in infinite elastic plate subjected to internal pressure by using a hybrid displacement discontinuity method(a boundary element method) proposed recently. By changing hole geometry parameters and by comparing the SIFs of the hole crack problem with those of the center crack problem, the effects of the hole geometry parameters on the SIFs are revealed. It is found that a hole has shielding and amplifying effects on the SIFs of crack emanating from the hole. When ad ≥aab, the stress intensity factor has a shielding effect due to triangular hole. The more near to the crack size the triangular hole size is, the more stronger the shielding effect is. When ad ≤aab, the stress intensity factor has a amplification effect due to triangular hole, and when ad =adm, this amplification effect reaches the maximum. These results may be meaningful in engineering.