当前位置: X-MOL 学术Int. J. Solids Struct. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
New robust self-consistent homogenization schemes of elasto-viscoplastic polycrystals
International Journal of Solids and Structures ( IF 3.6 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.ijsolstr.2020.05.032
Miroslav Zecevic , Ricardo A. Lebensohn

Abstract Three novel and robust homogenization schemes for polycrystals deforming in the elasto-viscoplastic regime are proposed, two of them of the self-consistent type and the other combining self-consistent and Mori-Tanaka methods. In addition, a non-incremental interaction equation for an elasto-viscoplastic inhomogeneity problem is also derived. Second moments of stress and strain field distributions within the grains are estimated using the algorithms developed for linear heterogeneous materials. A thorough description of the approximations, methodology and algorithms involved is given, and, using the case of a copper polycrystal, it is shown that the proposed methods obey the elastic and viscoplastic limits. The new homogenization schemes are then applied to the case of tension of stainless steel, including the prediction of intragranular averages and standard deviations of lattice strains. These predictions are compared to published experimental measurements and corresponding full-field polycrystal plasticity results. Acceptable agreement of the predicted grain-averaged lattice strains with both experiments and full-field results was observed, while the calculated standard deviations of lattice strains matched well only with the full-field predictions.

中文翻译:

弹-粘塑性多晶新的稳健自洽均质化方案

摘要 提出了三种新的、鲁棒的弹-粘塑性变形多晶均质化方案,其中两种是自洽型,另一种是自洽和 Mori-Tanaka 方法相结合。此外,还推导出了弹-粘塑性不均匀性问题的非增量相互作用方程。使用为线性异质材料开发的算法估计晶粒内应力和应变场分布的二阶矩。给出了所涉及的近似、方法和算法的全面描述,并且使用铜多晶的情况表明所提出的方法服从弹性和粘塑性极限。然后将新的均质化方案应用于不锈钢张力的情况,包括晶格应变的晶内平均值和标准偏差的预测。这些预测与已发表的实验测量结果和相应的全场多晶塑性结果进行了比较。观察到预测的晶粒平均晶格应变与实验和全场结果的可接受一致性,而计算出的晶格应变标准偏差仅与全场预测良好匹配。
更新日期:2020-10-01
down
wechat
bug