Plastic instability in rate-dependent materials

Plastic instability in rate-dependent materials
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DOI:
10.1016/0022-5096(67)90008-7
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发表时间:
1967-11
影响因子:
5.3
通讯作者:
J. D. Campbell
J. D. Campbell
中科院分区:
工程技术2区
文献类型:
--
作者:
J. D. Campbell

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本文提出了对速率相关材料拉伸样品中应变梯度随时间变化的理论分析,该分析基于材料中的应变速率是应力和应变局部值的函数的假设。该理论用于确定应变梯度增长的标准,并且表明,对于给定材料,存在应力-应变平面的一个区域,该区域定义了这些梯度随时间无限增加的条件。该理论应用于具有特定类型的速率依赖性的材料,并且结果与在恒定应变速率下获得的实验数据相关。
The Paperpresents a theoretical analysis of the time variation of strain gradients in a tensile specimen of rate-dependent material, the analysis being based on the assumption that the strain rate in the material is a function of the local values of stress and strain. The theory is used to determine the criterion for the growth of strain gradients, and it is shown that for a given material there exists a region of the stress-strain plane defining conditions under which these gradients increase indefinitely with time. The theory is applied to materials with specific types of rate-dependence, and the results are related to experimental data obtained at constant rates of strain.