Constitutive equations at high rates of loading

被引:2
|
作者
Suvorova, J [1 ]
Viktorova, I
机构
[1] RAS, MERI, Moscow, Russia
[2] Clemson Univ, Clemson, SC USA
来源
JOURNAL DE PHYSIQUE IV | 2003年 / 110卷
关键词
D O I
10.1051/jp4:20030669
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The stress-strain-time dependence for some metals and alloys based on the idea of non-linear heredity is proposed. In particular the theory can be applied to the metals with delayed yielding (low carbon mild steels). It is shown that the phenomenon of yield delay affects the slope of stress-strain diagram. The proposed theory is applied to the analysis of the results of the tests for some metals under various loading and unloading rates and also to the creep and relaxation experimental data. Using some additional assumption the basic equation can be applied to the description of material behavior under repeated loading and to incremental elastic wave propagation. The problem of the longitudinal wave propagation in non-linear hereditary type medium has been solved using the Laplace transform technique. An asymptotic expansion of the solution in the vicinity of the wave front has been obtained.
引用
收藏
页码:51 / 56
页数:6
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