Hopkinson杆试验试件中应力状态近似分析与惯性修正

Approximate Analysis to the Stress Status of Sample in Hopkinson Bar Test and Its Correction of Inertia

在Ｈｏｐｋｉｎｓｏｎ杆动态试验，特别是Ｈｏｐｋｉｎｓｏｎ拉杆试验中，由于试件尺寸长，惯性效应导致测试失真问题是人们关注的重要问题．本文对该问题进行了分析，发展了Ｇｏｒｈａｍ惯性修正模型，推导出一种新的惯性修正公式，该公式考虑了试件的径向和轴向惯性，变形率及试件端面效应，特别是考虑了惯性对试件内部速度场不均匀性的影响．计算分析表明，本公式对ＳＨＴＢ试件中惯性效应的修正量的计算值比Ｇｏｒｈａｍ模型的相应值要大４０％～５０％，虽然修正量的绝对值并不大．

It is an important and concerned problem that the wave-form distortion is caused by inertial effect in SHPB and SHTB tests. In this work a theoretical analysis to the stress status of sample in the above dynamic tests was derived, in which the radial and axial inertia of sample, the deformation rate and the end-surface effect,especially the effect of inertia on the nonundrinmity of velocity field in a sample, were considered. The calculation shows that the correction quantity of the inertia force given by present theoretical model is about 40%～50% larged than that given by Gorham's model (1989).