A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming
A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming
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DOI：
10.1016/s0749-6419(03)00079-2
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发表时间：
2004-04
影响因子：
9.8
通讯作者：
T. Stoughton;J. Yoon
中科院分区：
文献类型：
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作者：
T. Stoughton;J. Yoon
Spitzig和里士满[Acta Metall. 32（1984）457]提出，钢和铝合金的多晶和单晶的塑性屈服对静水压力表现出显著的敏感性。他们进一步表明，在相关的流动规则下，这种压力敏感性导致塑性变形，即永久体积变化，其至少比观察到的大一个数量级。实际上，大多数材料的塑性变形是测量误差的量级，并且在塑性变形期间没有相变和显著的空隙成核的情况下必须为零。本文提出了一个基于各向同性硬化的压敏屈服准则的非关联流动法则，它与Spitzig和里士满的实验数据和分析结果相一致。这项工作的意义在于，该模型扭曲了拉伸和压缩的屈服函数的形状，充分考虑了强度差异效应。这种能力是重要的，因为有时通过仅使用压力不敏感屈服准则的运动硬化模型来描述蠕变。
Spitzig and Richmond [Acta Metall. 32 (1984) 457] proposed that plastic yielding of both polycrystalline and single crystals of steel and aluminum alloys shows a significant sensitivity to hydrostatic pressure. They further showed that under the associated flow rule, this pressure sensitivity leads to a plastic dilatancy, i.e. permanent volume change, that is at least an order of magnitude larger than observed. Indeed, the plastic dilatancy for most materials is on the order of the measurement error and must be zero in the absence of phase change and significant void nucleation during plastic deformation. A non-associated flow rule based on a pressure sensitive yield criterion with isotropic hardening is proposed in this paper that is consistent with the Spitzig and Richmond data and analysis. The significance of this work is that the model distorts the shape of the yield function in tension and compression, fully accounting for the strength differential effect (SDE). This capability is important because the SDE is sometimes described through kinematic hardening models using only pressure insensitive yield criteria.