Dynamic analysis for two-dimensional multiple crack division
Dynamic analysis for two-dimensional multiple crack division
复制标题
二维多重裂纹划分动态分析
DOI：
10.1016/0013-7944(70)90002-0
复制
发表时间：
1970
期刊：
影响因子：
--
通讯作者：
G. Irwin
中科院分区：
文献类型：
--
作者：
G. Sih;G. Irwin
基于线弹性断裂力学的概念，针对均匀分布的径向裂纹从一点向外扩展并终止于圆形轨迹的问题，对裂纹扩展力 z 的静态形式进行了两次动态调整。第一个调整涉及倾向于打开裂纹的局部动态应力的大小。如果相邻裂纹末端之间的弧长与圆半径相比足够小，则该动态应力可以通过以恒定速度扩展的圆形应力释放轨迹附近的周向应力来近似。第二个调整涉及裂纹速度对裂纹张开位移和应力场能量释放速率 ζ 的影响。这可以通过应用移动裂纹的裂纹闭合方法来确定。发现这两种动态调整方向相反。补偿程度取决于裂纹扩展的速度和材料的泊松比。
Based on the concept of linear-elastic fracture mechanics, two dynamic adjustments are made upon the static form of the crack-extension force ζ for the problem of evenly spaced radial cracks spreading out from a point and terminating on a circular locus. The first adjustment is concerned with the magnitude of the local dynamic stress tending to open the crack. This dynamic stress can be approximated by the circumferential stress near a circular locus of stress relief expanding at a constant speed provided that the arc length between adjacent crack ends is sufficiently small in comparison with the circle radius. The second adjustment is concerned with the influence of crack speed on the crack-opening displacement and on the rate of release of stress field energy, ζ. This can be determined by application of the crack closure method for a traveling crack. These two dynamic adjustments are found to be opposite in direction. The degree of compensation depends on the speed of crack propagation and the Poisson's ratio of the material.