Abstract A novel elasto-visco-plastic self-consistent (EVPSC) formulation based on the scheme of the homogeneous effective medium is presented. The constitutive behavior of a polycrystal is described as that of an elasto-visco-plastic effective medium interacting with grains treated as elasto-visco-plastic ellipsoidal inclusions. The formulation is based on the definition of a unique elasto-visco-plastic compliance, so avoiding the inconsistency arising from assuming superimposed elastic and visco-plastic interaction laws, as made in similar elasto-visco-plastic models. In addition, the elasto-visco-plastic constitutive equation of crystal and aggregate is formulated in terms of stress increments, which leads naturally to a semi implicit solution scheme. The superior numerical stability and computational efficiency of the new incremental EVPSC model (denoted as Δ EVPSC) are demonstrated by applying the model to a 316L austenitic stainless steel and comparing against other elasto-plastic models. The modeling capability for predicting texture, stress-strain response, and Bauschinger effect are demonstrated using a dislocation-density based hardening law applied to low carbon (LC) steel subjected to deformation histories that involve strain-path changes.

中文翻译：

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一种高效的弹-粘-塑性自洽配方：应用于承受载荷路径变化的钢材

摘要 提出了一种基于均质有效介质方案的新型弹粘塑性自洽（EVPSC）配方。多晶的本构行为被描述为弹-粘-塑性有效介质与作为弹-粘-塑性椭圆体夹杂物处理的晶粒相互作用的本构行为。该公式基于唯一弹-粘-塑性柔度的定义，因此避免了在类似弹-粘-塑性模型中假设叠加的弹性和粘-塑性相互作用定律所引起的不一致。此外，晶体和骨料的弹粘塑性本构方程是根据应力增量来制定的，这自然导致了半隐式求解方案。通过将模型应用于 316L 奥氏体不锈钢并与其他弹塑性模型进行比较，证明了新的增量 EVPSC 模型（表示为 Δ EVPSC）的卓越数值稳定性和计算效率。使用基于位错密度的硬化法则来证明预测织构、应力-应变响应和包辛格效应的建模能力，该硬化定律应用于低碳 (LC) 钢，该钢受到涉及应变路径变化的变形历史。