Abstract Referring to the existing experimental investigation, a meso-mechanical constitutive model is constructed to describe the deformation and failure of bulk metallic glass composites under the monotonic uniaxial tensile and compressive loading conditions. Firstly, a free volume based constitutive model considering the failure mechanisms of bulk metallic glass and a unified visco-plastic model are employed for the bulk metallic glass matrix and toughening phase, respectively. To effectively reflect the local failure occurring in the bulk metallic glass matrix of the composites, a new two-leveled homogenization method is developed by extending the traditional Mori-Tanaka's method. Then, the algorithmic tangent operators for both of bulk metallic glass matrix and toughening phase are derived; the numerical integration algorithm of proposed model is also developed. Finally, the effectiveness of proposed model is validated by predicting the deformation and failure of bulk metallic glass composites under the monotonic tension and compression, respectively. Comparison of predicted results and corresponding experimental ones demonstrates that the proposed model can predict the deformation and local failure of bulk metallic glass composites well.

中文翻译：

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考虑基体局部失效的大块金属玻璃复合材料细观力学本构模型

摘要 参考已有的实验研究，建立了细观力学本构模型来描述单调单轴拉伸和压缩加载条件下块状金属玻璃复合材料的变形和破坏。首先，考虑大块金属玻璃失效机制的基于自由体积的本构模型和统一的粘塑性模型分别用于大块金属玻璃基体和钢化相。为了有效反映复合材料块体金属玻璃基体中发生的局部失效，通过扩展传统的 Mori-Tanaka 方法开发了一种新的两级均化方法。然后，导出了块体金属玻璃基体和钢化相的算法切线算子；还开发了所提出模型的数值积分算法。最后，通过分别预测大块金属玻璃复合材料在单调拉伸和压缩下的变形和失效，验证了所提出模型的有效性。预测结果与相应实验结果的比较表明，所提出的模型可以很好地预测块状金属玻璃复合材料的变形和局部失效。