Evaluation of the effective elastic properties of periodic nanofiber composites with surface effect using eigenfunction expansion-variational method

被引：0

作者：

Zheng, Xin ^{[1
,2
]}

Xiao, Junhua ^{[1
,2
]}

Yan, Peng ^{[3
]}

Xu, Yaoling ^{[1
,2
]}

机构：

[1] Yanshan Univ, Dept Engn Mech, Qinhuangdao 066004, Peoples R China

[2] Yanshan Univ, Hebei Key Lab Mech Reliabil Heavy Equipments & Lar, Qinhuangdao 066004, Peoples R China

[3] Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China

来源：

ACTA MECHANICA | 2023年 / 234卷 / 08期

关键词：

NANO-INHOMOGENEITIES; LONGITUDINAL SHEAR; EFFECTIVE MODULI; INCLUSIONS; NANOCOMPOSITES; CONSTANTS; STRESS; SOLIDS; BODY;

D O I：

10.1007/s00707-023-03567-6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The effective elastic properties of composites with double periodic nanofibers are studied theoretically. Based on the Gurtin-Murdoch surface elasticity theory, the elastic field in the nanocomposite can be expanded by applying a functional variational method to a unit cell. The analytical solution of the effective anti-plane shear modulus of the periodic nanocomposites is presented. The convergence of the analytical results is discussed. The comparisons of the obtained macroscopic and nanoscale solutions with the existing results show the effectiveness and accuracy of the proposed method. Based on the analytical solution obtained, the size effect of the effective properties of the periodic nanocomposites is discussed. The effects of the period ratio of microstructure, the fiber/matrix stiffness matching and the nanoporous volume fraction on the effective shear modulus of the nanocomposites are discussed in detail.

引用

页码：3459 / 3468

页数：10