不可压缩弹性固体中的二维应力波分析

唐之景; 丁启财; 李永池

不可压缩弹性固体中的二维应力波分析

1.
中国科学技术大学;
2.
美国伊利诺大学芝加哥校区

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出版历程
- 收稿日期: 1988-03-30
- 刊出日期: 1989-08-15

Two Dimensional Stress Wave Analysis in Incompressible Elastic Solids

1.
University of Science and Technology of China, Hefei;
2.
University of Illiaois at Chicage, U. S. A

摘要

摘要: 本文研究不可压缩弹性固体中的二维应力波.首先对一般的应变能函数给出了分析简单波和激波的基本方程,然后求出了波速和相应的本征向量,证明在一般情况下有两组简单波和两组激波,最后举了平面变形和反平面变形两个例子.在平面变形的情况下,平面激波的斜反射问题一般无解.

Abstract: Two-dimensional stress wares in n general incompressible elastic solid are investigated. First, baxic equations for simple wares and shock waves are presented for a general strain energy junction. Then the characteristic ware speeds and the associated characteristic vectors are deduced. It is shown that there usually exist two simple waves and two shock wares. Finally, two examples are given for the case of plane strain deformation and antiplane strain deformation, respectively. It is proved that, in the case of plane strain deformation, the oblique reflection problem of a plane shock is not solvable in general.

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参考文献(19)

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