ON AXISYMMETRIC MOTION OF AN INCOMPRESSIBLE ELASTIC MEDIUM UNDER IMPACT LOADING

被引:3
作者
Ivanova, Yu. E. [1 ]
Ragozina, V. E. [1 ]
机构
[1] Russian Acad Sci, Inst Automat & Control Proc, Far East Div, Vladivostok 690041, Russia
关键词
nonlinear elasticity; shock wave; perturbation method; evolution equation;
D O I
10.1007/s10808-006-0129-6
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The method of matched asymptotic expansions was employed to obtain approximate solutions to the one-dimensional boundary-value problems of nonlinear dynamic elasticity theory of impact loading on the surface of a cylindrical cavity of an incompressible medium that causes antiplane motion or torsion of the medium. The expansion of the solution in the near-front region is based on solutions of evolution equations different from the equations for quasi-simple waves.
引用
收藏
页码:892 / 898
页数:7
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