Variational bounds for anisotropic elastic multiphase composites with different shapes of inclusions
Variational bounds for anisotropic elastic multiphase composites with different shapes of inclusions
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DOI：
10.1007/s00419-008-0246-1
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发表时间：
2009-08
影响因子：
2.8
通讯作者：
R. Rodríguez‐Ramos;R. Guinovart-Díaz;J. Bravo-Castillero;F. Sabina;H. Berger;S. Kari;U. Gabbert
中科院分区：
文献类型：
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作者：
R. Rodríguez‐Ramos;R. Guinovart-Díaz;J. Bravo-Castillero;F. Sabina;H. Berger;S. Kari;U. Gabbert
在本工作中，统一的公式计算的多相横观各向同性复合材料的整体弹性边界与不同的几何类型的夹杂物嵌入在基体中，包括球形和长或短的连续圆柱形纤维的情况下。研究了夹杂物的不同几何构型对复合材料性能的影响。横观各向同性的有效边界得到应用的变分制剂的各向异性复合材料开发的Willis，它依赖于静态横观各向同性绿色的函数的表达式。一些数值计算和比较来自自洽方法，渐近均匀化方法，和有限元法（FEM）的有效系数示出不同的纵横比值，表现出良好的协议。
In the present work, unified formulae for the overall elastic bounds for multiphase transversely isotropic composites with different geometrical types of inclusions embedded in a matrix are calculated, including the spherical and long or short continuous cylindrical fiber cases. The influence of the different geometrical configurations of the inclusions on the composites is studied. The transversely isotropic effective bounds are obtained by applying the variational formulation for anisotropic composites developed by Willis, which relies on expressions for the static transversely isotropic Green’s function. Some numerical calculations and comparisons with the effective coefficients derived from the self-consistent approach, asymptotic homogenization method, and finite element method (FEM) are shown for different aspect ratio values, exhibiting good agreement.