CAJ | 학술논문

以恒定速度运动的Griffith裂纹解析解为著名的Yoffe解。静止裂纹的条状屈服模型即Dugdale模型，将其推广到运动裂纹模型时发现，当裂纹运动速度跨越Rayliegh波速时，裂纹张开位移COD趋于(∞，且表现为间断。通过在裂尖引入一个约束应力区及两个速度效应函数，假设约束应力为线性分布，采用复变函数方法，求得动态应力强度因子SIF与裂纹张开位移COD的解析解。新的结果，在Rayleigh波速下裂纹张开位移连续且为有限值。给出裂纹张开位移的一些数值结果，获得了一些有意义的结论。
이항정속도운동적Griffith렬문해석해위저명적Yoffe해。정지렬문적조상굴복모형즉Dugdale모형，장기추엄도운동렬문모형시발현，당렬문운동속도과월Rayliegh파속시，렬문장개위이COD추우(∞，차표현위간단。통과재렬첨인입일개약속응력구급량개속도효응함수，가설약속응력위선성분포，채용복변함수방법，구득동태응력강도인자SIF여렬문장개위이COD적해석해。신적결과，재Rayleigh파속하렬문장개위이련속차위유한치。급출렬문장개위이적일사수치결과，획득료일사유의의적결론。
The analytical solution of moving Griffith crack model with a constant speed is well known as Yoffe solution.For a static crack,its strip yielding model is well known as Dugdale model.It is found that when Dugdale model is generalized to the moving crack case,the crack opening displacement (COD)is discontinuous and approaches to positive and negative infinite at Rayleigh wave speed.Here,a restraining stress zone was attached to the crack tip while two speed effect functions were introduced assuming the restraining stress zone has a linear distribution.The complex function approach was employed to solve the problem.Analytical solutions of dynamic stress intensity factor (SIF)and crack opening displacement (COD)were then obtained.The new COD result was continuous and finite at Rayleigh wave speed.Some numerical results of COD were presented.Some valuable conclusions were obtained.