撞击引起的弹塑性激波衰减规律的拟级数解法  

A Quasi-Series Solution for the Attenuation of Elastic-Plastic Shock Wave Generated By Impact

作　　者：李永池[1] 周光泉[1] 黄峰 

机构地区：[1]中国科学技术大学

出　　处：《力学学报》1989年第S1期156-165,共10页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金

摘　　要：本文基于所论问题的无量纲化方程组研究了由一有限质量刚块撞击所引起的递增硬化弹塑性杆中应力波的传播问题,提出了一种求解弹塑性激波衰减规律的拟级数解法并且得到了级数通项的递推公式,算例表明级数收敛是快的。该方法简单明晰,很便于工程应用,该方法还有如下优点:可以同时求得塑性激波的传播迹线、衰减规律以及激波后方弹性卸载区内的应力和质点速度的分布规律。In this paper the problem of stress wave propagation In an increasingly hardening elastic-plastic bar impacted by a rigid body of finite mass is studied based on the nondimensional equations of the problem.We present a quasi-series solution for the attenuation of the plastic shock wave, and have obtained the recurrence formula for the general terms of the series.The calculation example shows that the series is fast-convergent.The method is simple,clear,and hence is very convenient for the engineering application.The method also has the advantage that it can s.imultaneosly give the propagating trace and the attenuation rules of the plastic shock wave as w-ell as the distributions of stress and particle velocity in the elastic unloading region behind the shock wave.

关 键 词：撞击 弹塑性波 激波衰减 拟级数解法 

分 类 号：O3[理学—力学]