(湘潭大學(xué) 土木工程與力學(xué)學(xué)院，湘潭 411105)
摘 要: 基于均勻化理論建立了計(jì)算具有微觀周期性結(jié)構(gòu)的鎢纖維增強(qiáng)鋯基塊體非晶復(fù)合材料的黏彈性力學(xué)模型；結(jié)合有限單元法在拉氏域中計(jì)算了該復(fù)合材料的等效松弛模量，用最小二乘法擬合得到用Prony級(jí)數(shù)表示的松弛模量；并進(jìn)一步得到拉氏域中的蠕變?nèi)崃浚蝗缓筮M(jìn)行拉氏逆變換，得到時(shí)間域內(nèi)的等效復(fù)合模量和蠕變?nèi)崃浚环治隽随u纖維體積分?jǐn)?shù)對(duì)復(fù)合材料等效黏彈性能的影響。結(jié)果表明，將均勻化理論與有限元方法相結(jié)合能有效地預(yù)測(cè)具有微觀周期性結(jié)構(gòu)的鎢纖維增強(qiáng)鋯基塊體非晶復(fù)合材料的黏彈性能，進(jìn)而有效地優(yōu)化該類復(fù)合材料性能。
關(guān)鍵字: 塊體非晶合金復(fù)合材料；均勻化理論；有限元分析；黏彈性能
（College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China）
Abstract: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 Laplace inverse transform Laplace inverse transform Laplace inverse transf. 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.
Key words: bulk metallic-glass matrix composite; homogenization theory; finite element analysis; viscoelastic property
