【摘要】 本文详细研究了动态载荷下杆中弱间断弹塑性边界的传播问题,给出了弱间断弹塑性边界的几个不同于弱间断特征线的基本性质.特别,证明了除与特征线重合的情况及个别离散点外,弹塑性边界的弱间断阶数不可能高于二.讨论了边界上的连续条件,并得到了以边界传播速度(?)和边界两侧的σ,υ对x,t 的偏导数表示的相应关系式.所得结果是普遍的,可以适用于杆端和杆内,包括所讨论的点是任意高阶弱间断点的情况.这些结果对于解决杆中弹塑性波传播问题是必需的.更多还原

【Abstract】 The propagation of elastic-plastic boundaries with weak discontinuities in a barunder dynamic loading is studied in detail.Their basic properties which differ from those of characteristic lines are presented.In particular,it is shown that the order of weakdiscontinuities on an elastic-plastic boundary cannot be higher than two except at sever-al isolated points and in the case where such a boundary coincides with a characteristicline.The conditions of continuity at such boundaries are discussed and some correspond-ing relations are obtained in terms of the propagation velocity (?) of elastic-plastic bound-ary and the partial derivations of stress (?) and particle velocity v with respect to xand t on both sides of this boundary.The results obtained are generally applicable andmay be used at both the end of and inside a bar,including the point with weak discon-tinuities of arbitrary order.These results are necessary for solving the problem of elas-tic-plastic wave propagation in a bar.更多还原