A Crystal Plasticity Model for Porous HCP Crystals in Titanium Alloys under Multiaxial Loading Conditions
A Crystal Plasticity Model for Porous HCP Crystals in Titanium Alloys under Multiaxial Loading Conditions
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DOI：
10.1016/j.ijsolstr.2021.111400
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发表时间：
2021-12
影响因子：
3.6
通讯作者：
Qingcheng Yang;Somnath Ghosh
中科院分区：
文献类型：
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作者：
Qingcheng Yang;Somnath Ghosh
本文提出了多孔HCP晶体在多种多轴加载条件下的高效晶体塑性模型。这些条件包括(i)单轴、双轴和三轴，（ii）拉伸和压缩，（iii）低和高三轴性，（iv）轴对称和非轴对称载荷。该框架是基于变分均匀化、现象学扩展和高保真微观力学分析观察所激发的假设的组合。基于代表性体积元（RVE）的孔隙度晶体塑性有限元（CPFE）分析中，采用一种新的无惩罚算法来达到并保持指定的应力状态。研究表明，初始孔隙度、晶体取向和应力状态对微观多孔RVE的均匀化力学响应有显著影响。利用微力学RVE分析结果生成的数据库建立并校准了所提出的多孔晶体塑性模型。校正后的多孔模型对于预测多孔晶体RVEs的响应是相当有效的。
In this paper, an efficient and effective crystal plasticity model is proposed for porous HCP crystals subject to a variety of multiaxial loading conditions. These conditions include (i) uniaxial, biaxial, and triaxial, (ii) tension and compression, (iii) low and high triaxiality, and (iv) axisymmetric and non-axisymmetric loadings. The framework is based on a combination of variational homogenization, phenomenological extensions, and assumptions motivated by observations from the high-fidelity micromechanical analysis. A novel penalty-free algorithm is employed to reach and maintain a specified stress state while performing representative volume element (RVE)-based crystal plasticity finite element (CPFE) analysis with porosity. The RVE studies demonstrate that the initial porosity, crystallographic orientation, and stress states have a significant effect on the homogenized mechanical responses of microscopically porous RVEs. The proposed porous crystal plasticity model is developed and calibrated using a database generated from the results of micromechanical RVE analysis. The calibrated porous model is reasonably effective in predicting the response of porous crystalline RVEs.