A Unified, Self-Consistent Theory for the Plastic-Creep Deformation of Metals
A Unified, Self-Consistent Theory for the Plastic-Creep Deformation of Metals
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DOI：
10.1115/1.3162609
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发表时间：
1982-12
期刊：
影响因子：
--
通讯作者：
G. Weng
中科院分区：
文献类型：
--
作者：
G. Weng
制定了一个统一的、自洽的方案来确定金属在组合应力下的塑性蠕变行为。指出这种变形涉及到从非均匀性到Eshelby意义上的变换问题的转变。通过对 Hill 模型进行 Berveiller 和 Zaoui 修正来研究塑性变形。塑性变形后，对后续蠕变的自洽关系结构进行了分析，发现其与先前的塑性应变无关。这些自洽关系与滑移系统的一组统一本构方程结合使用，其中考虑了先前塑性应变对后续蠕变的影响。这种统一、自洽的方案用于预测 304 不锈钢的塑性蠕变应变。与实验数据相比，发现自洽方案始终能够对总非弹性应变提供相当准确的估计，而冯·米塞斯理论的预测则显得不太有利。
A unified, self-consistent scheme is formulated to determine the plastic-creep behavior of metals under combined stress. It is pointed out that such a deformation involves the transition from the inhomogeneity to transformation problem in the sense of Eshelby. The plastic deformation is studied by the Berveiller and Zaoui modification of Hill's model. Following plastic deformation the structure of selfconsistent relation for subsequent creep is analyzed and found to be independent of prior plastic strains. These self-consistent relations are used in conjunction with one set of unified constitutive equations for slip systems, in which the effect of prior plastic strains on the subsequent creep is considered. This unified, self-consistent scheme is applied to predict the plastic-creep strains of a 304 stainless steel. As compared to the experimental data, the self-consistent scheme is found to consistently provide reasonably accurate estimates for the total inelastic strains, while the predictions by the von Mises theory are seen to be less favorable.