基于均匀化理论建立了计算具有微观周期性结构的钨纤维增强锆基块体非晶复合材料的黏弹性力学模型；结合有限单元法在拉氏域中计算了该复合材料的等效松弛模量，用最小二乘法拟合得到用Prony级数表示的松弛模量；并进一步得到拉氏域中的蠕变柔量；然后进行拉氏逆变换，得到时间域内的等效复合模量和蠕变柔量；分析了钨纤维体积分数对复合材料等效黏弹性能的影响。结果表明，将均匀化理论与有限元方法相结合能有效地预测具有微观周期性结构的钨纤维增强锆基块体非晶复合材料的黏弹性能，进而有效地优化该类复合材料性能。
Based on the homogenization theory, a mechanical model to calculate the viscoelastic properties of tungsten fiber reinforced Zr-based bulk metallic glass matrix composites (W/Zr-BMGMCs) with periodic microstructure was formulated. The equivalent relaxation modulus of this composite material was then calculated in the Laplace domain combined with the finite element method. The creep compliance in the Laplace domain can be further achieved through the relaxation modulus expressed by Prony series fitted with the method of least squares. Consequently, equivalent composite modulus and creep compliance in the time domain can be obtained by means of inverse Laplace transform . The effects of the volume fraction of tungsten fiber on the equivalent viscoelastic properties of (W/Zr-BMGMCs) were further studied. The results demonstrate that a combined approach of the homogenization theory and the finite element formulation can effectively anticipate the viscoelastic properties of (W/Zr-BMGMCs) with periodic microstructure, and thus provide basis for effective optimization of this kind of composites.
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