摘要
对分离式霍普金森压杆(split Hopkinson pressure bar,SHPB)实验中试件的黏弹性波传播的控制方程组进行Laplace变换,并结合恰当的初始-边界条件求解,得到变换域的应力、速度、应变等变量的像函数的精确表达式.采用该方法处理SHPB实验中涉及黏弹性试件内部应力非均匀性问题,并给出数值反变换解.作为特例,对于弹性试件分别采用级数展开法和留数定理进行反Laplace变换,从而给出弹性夹层介质中应力波传播问题的解析解.
In relation to the dynamic tests of materials, the approach to solve the viscoelastic wave propagations in split Hopkinson pressure bar(SHPB) tests was summarized. By conducting Laplace transform, the governing partial differential equations were transformed to ordinary differential equations for the image functions, which were solved analytically with suitable boundary equations. Inversely transforming these image functions gives the results of the stress,velocity, and strain in the bar. A wave problem are analyzed to evaluate the internal stress distributions in a viscoelastic specimen occurred in SHPB tests. The problem was solved numerically by way of numerical inverse Laplace transform.A special case when the specimen is pure elastic was solved analytically, giving the exact solution to the problem of elastic wave propagation in a sandwich elastic media.
出处
《力学学报》
EI
CSCD
北大核心
2014年第6期843-852,共10页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金资助项目(11272163
11390361)~~
