Bo Xu , Aonan Su , Ziyi Wang , Chao Yu , Guozheng Kang
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引用次数: 0
Abstract
In this work, a multiscale constitutive model is established to describe the deformation behaviors of magnesium-shape memory alloy (Mg-SMA) composite in a wide temperature range and reveal the strengthening mechanism of SMA reinforcement on Mg. The model is established at the grain scale firstly and gradually transited to the macroscopic scale by employing a newly developed three-level scale transition rule. At the grain scale, the thermodynamic-consistent constitutive models of Mg and SMA are, respectively, constructed by addressing different inelastic deformation mechanisms. The basal, prismatic, pyramidal, slip systems and extension twinning system are considered for the Mg phase, and the martensite transformation (MT) and austenitic plasticity are addressed for SMA reinforcement. Thermodynamic driving forces of each inelastic deformation mechanism are derived from the dissipative inequality and the constructed Gibbs free energies. At the polycrystalline scale, to evaluate the interactions among the grains and pores, and obtain the whole responses of the polycrystalline Mg and SMA, a thermo-mechanically coupled self-consistent homogenization scheme is employed. At the mesoscopic scale, a modified thermo-mechanically coupled Mori-Tanaka's homogenization scheme is adopted to evaluate the interaction between the Mg phase and SMA phase, and predict the whole responses for the representative volume element (RVE) of the composite. According to the geometrical features and mechanical loadings applied on the specimen, a hypothesis of homogeneous stress and strain fields at the macroscopic scale is adopted to achieve the scale transition from the RVE of the composite to the whole specimen. The capacity of the multiscale model is verified by comparing the predictions with the existing experimental data (Aydogmus, 2015). Moreover, the influences of characteristic information for the microstructures at different spatial scales on the deformation behaviors of the composite are predicted and discussed.
本文建立了一个多尺度构成模型来描述镁-形状记忆合金(Mg-SMA)复合材料在宽温度范围内的变形行为,并揭示了 SMA 增强材料对镁的强化机理。该模型首先在晶粒尺度上建立,然后利用新开发的三级尺度转换规则逐步过渡到宏观尺度。在晶粒尺度上,针对不同的非弹性变形机理,分别构建了 Mg 和 SMA 的热力学一致构效模型。对于镁相,考虑了基性、棱柱形、金字塔形、滑移体系和延伸孪晶体系;对于 SMA 增强体,考虑了马氏体转变(MT)和奥氏体塑性。根据耗散不等式和构建的吉布斯自由能推导出了每种非弹性变形机制的热力学驱动力。在多晶尺度上,为了评估晶粒和孔隙之间的相互作用,并获得多晶镁和 SMA 的整体响应,采用了热力学耦合自洽均质化方案。在中观尺度上,采用改进的热机械耦合 Mori-Tanaka 均质化方案来评估镁相和 SMA 相之间的相互作用,并预测复合材料代表性体积元素 (RVE) 的整体响应。根据试样的几何特征和施加在试样上的机械载荷,采用宏观尺度上均质应力场和应变场的假设,实现从复合材料的 RVE 到整个试样的尺度过渡。通过将预测结果与现有实验数据进行比较,验证了多尺度模型的能力(Aydogmus,2015 年)。此外,还预测并讨论了不同空间尺度的微结构特征信息对复合材料变形行为的影响。
期刊介绍:
International Journal of Plasticity aims to present original research encompassing all facets of plastic deformation, damage, and fracture behavior in both isotropic and anisotropic solids. This includes exploring the thermodynamics of plasticity and fracture, continuum theory, and macroscopic as well as microscopic phenomena.
Topics of interest span the plastic behavior of single crystals and polycrystalline metals, ceramics, rocks, soils, composites, nanocrystalline and microelectronics materials, shape memory alloys, ferroelectric ceramics, thin films, and polymers. Additionally, the journal covers plasticity aspects of failure and fracture mechanics. Contributions involving significant experimental, numerical, or theoretical advancements that enhance the understanding of the plastic behavior of solids are particularly valued. Papers addressing the modeling of finite nonlinear elastic deformation, bearing similarities to the modeling of plastic deformation, are also welcomed.