A class of phenomenological corner theories of plasticity
A class of phenomenological corner theories of plasticity
复制标题
一类现象学可塑性角理论
DOI：
10.1016/0022-5096(79)90026-7
复制
发表时间：
1979
影响因子：
5.3
通讯作者：
J. Hutchinson
中科院分区：
文献类型：
--
作者：
J. Christoffersen;J. Hutchinson
提出了一类塑性唯象流动理论，该理论模拟了多晶金属屈服面拐角处与时间无关的增量行为。该建议与基于单晶滑移的塑性物理理论一致。导出确保增量关系可逆的凸性条件。最简单的候选者称为 J2 角理论，它与几乎成比例的应力增量的塑性 J2 变形理论一致，并且针对越来越不成比例的增量，结合了到弹性卸载的平滑过渡。该理论应用于薄板颈缩的分叉和缺陷敏感性分析。对于这个例子，就像许多其他涉及塑性范围内分叉的例子一样，角理论似乎规避了与使用标准唯象塑性定律相关的一些困难。
Aclassof phenomenological flow theories of plasticity is proposed which models time-independent incremental behavior at a corner of the yield surface of a polycrystalline metal. The proposal is consistent with the physical theories of plasticity based on single crystal slip. Conditions for convexity, ensuring invertibility of the incremental relations, are derived. The simplest candidate, calledJ2corner theory, coincides with theJ2deformation theory of plasticity for nearly proportional stress increments and incorporates a smooth transition to elastic unloading for increasingly non-proportional increments. The theory is applied to the bifurcation and imperfection-sensitivity analysis of necking in a thin sheet. For this example, like many others involving bifurcation in the plastic range, the corner theory appears to circumvent some of the difficulties associated with use of the standard phenomenological plasticity laws.