摘要
处理了无界体中一无限长、有限宽的平面应变裂纹，对任意入射膨胀波的散射问题．这里采用了Wiener－Hopf技术及标准迭代方法，得到了二次反射波到达后的应力强度因子的解析表达式，并给出了数值结果。
In the dynamic fracture field, the problem with scattered stress wave is very difficultto analyze. At present only a few analytical results have been obtained. Stephen A Than andTsin-Hwei Lu (1970, 1971) treat the transient problem of diffraction of an a plane transient SHwave and an arbitrary plane dilitational wave by a finite crack in an infinite elastic solid. Theyemploy the generalized Wiener-Hopf technique and the standard iteration method. Freund (1990)treat the analogous crack subjected to I load by the moving dislocation method. In all the workReceived 6 October 1997, revised 4 October 1998.1) The project supported by the National Natural Science Foundation of China.before only the effect of the first scattered wave is studied and that of the following scattered wavehasn't been considered.In the paper the diffraction of transient arbitrary plane dilatational wave by a finite crackin an infinite elastic medium is analyzed. The general Wiener-Hopf technique and the standarditeration method are used to obtain the explicit expressions of the SIF after the second scatteredwave reaches the investigated crack tip and numerical calculations are performed. The effect ofthe first wave, the first scattered and the second scattered wave is compared and shows that theSIF increases with the arrival of the second scattered longitudinal wave and decreases with thearrival of the second scattered Rayleigh wave, the peak SIF rises 10% with the arrival of the firstscattered wave, but rises 5‰, with the arrival of the second scattered waves much less than theeffect of the first scattered wave. So except the effect of the first scattered wave, the effect of thefollowing scattered wave can be omitted.
出处
《力学学报》
EI
CSCD
北大核心
1999年第5期542-549,共8页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金!19472070
关键词
动态断裂
反射波
迭代
应力强度因子
弹性体
dynamic fracture, diffracted wave, iteration, dynamic stress intensity factor
