Closed form approximation of effective elastic moduli of composites with cubic, octet and cubic plus octet periodic microstructures

被引：3
|
作者：
Mejak, George [1 ]
机构：
[1] Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia
来源：
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2019年 / 77卷
关键词：
Effective moduli; Homogenization; Equivalent eigenstrain method; Periodic microstructures; Thin walled structures; ELLIPSOIDAL INCLUSION;
D O I：
10.1016/j.euromechsol.2019.04.007
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Analytical approximation of linear elastic properties of materials with periodic thin walled microstructure is derived using the homogeneous eigenstrain approximation to the equivalent eigenstrain equation. Three particular thin walled structures of the unit cell are considered, cubic, octet and cubic + octet. Viability of the approximation is established by comparison with numerical results obtained by the asymptotic homogenization.
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页数：16
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