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Hybrid model of nonlinear homogenisation of anisotropic composites with ellipsoidal inclusions
Composites Part B: Engineering ( IF 12.7 ) Pub Date : 2021-06-15 , DOI: 10.1016/j.compositesb.2021.109076
A.F. Fedotov

A hybrid model of nonlinear homogenisation of anisotropic composites was developed, based on the secant Eshelby's model of the second order. At first a scaling factor was determined between constrained strains of matrices of finite and infinite dimensions for an isotropic composite. The scaling factor was then used to calculate the constrained strain of the matrix and the macrostress of the anisotropic composite. If the calculation results and reference values differ greatly, the scaling factor serves as a fitting parameter. A parametric hybrid model has been developed to predict the properties of composites with different content of inclusions. Good agreement of the calculation results with the numerical solutions of the FEM and experimental data was obtained.



中文翻译:

具有椭球夹杂物的各向异性复合材料非线性均匀化的混合模型

基于二阶割线 Eshelby 模型,开发了各向异性复合材料非线性均匀化的混合模型。首先,在各向同性复合材料的有限和无限维矩阵的受约束应变之间确定比例因子。然后使用比例因子来计算基体的约束应变和各向异性复合材料的宏观应力。如果计算结果与参考值相差较大,则以比例因子作为拟合参数。已经开发了一个参数混合模型来预测具有不同夹杂物含量的复合材料的性能。计算结果与有限元法的数值解和实验数据吻合良好。

更新日期:2021-06-18
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