弹/粘塑性圆柱内剪切波的二维数值解  

2-D numerical analysis of torsional wave in an elastic/viscoplastic cylinder

作　　者：刘凯欣[1] 

机构地区：[1]大连理工大学工程力学研究所

出　　处：《大连理工大学学报》1993年第S2期157-167,共11页Journal of Dalian University of Technology

摘　　要：提出了一个根据沿次特征线积分原理求解二维弹／粘塑性剪切应力波传 播问题的数值方法，并计算了呈非线性分布的动剪应力载荷作用于圆柱体一 端时圆柱体的应力波传播问题．弹性剪切波问题的数值解与精确解相符．利 用统计总能量的方法考察和讨论了数值解法的稳定性和收敛性．A numerical technique is given for obtaining the solution for the propagation of torsional waves in an elastic/viscoplastic cylinder subjected to a dynamically applied shear stress with non-linear radial variation at its end surface. The equations governing the dynamic torsional deformation of the cylinder are solved by means of the method of numerical integration along bicharacteristics. The numerical solutions for the torsional elastic waves in the cylinder are shown to be in close agreement with the existing exact solutions. The stability and convergence of the present technique are investigated by examining the error in the total energy of the numerical solution as time increases. The advantages and limitations of the present technique are discussed.

关 键 词：应力波 数值计算 稳定性(数学) 收敛(数学)/次特征线 

分 类 号：N55[自然科学总论]