Effective elastic stiffness of 2D materials containing nanovoids of arbitrary shape

被引：17

作者：

Tung Doan ^{[1
,2
]}

Hung Le-Quang ^{[1
]}

Quy-Dong To ^{[1
]}

机构：

[1] Univ Paris Est, Lab Modelisat & Simulat Multi Echelle, MSME, UMR 8208,CNRS, 5 Blvd Descartes, Marne La Vallee 77454 2, France

[2] Natl Univ Civil Engn, 55 Giai Phong St, Hanoi, Vietnam

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2020年 / 150卷

关键词：

Effective elastic modulus; Numerical conformal mapping; 2D Material; Eshelby problem; Arbitrary shape void; Surface effect; NANO-INHOMOGENEITIES; SURFACE; INTERFACE; SOLIDS; FIELD; MODULI; MODEL; INCLUSIONS; STATE;

D O I：

10.1016/j.ijengsci.2020.103234

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper aims to determine the in plane effective elastic properties of two-dimensional (2D) materials containing nanovoids of arbitrary shape. To achieve this objective, the complex variable and the associated conformal mapping techniques are used to solve the heterogeneity problem of a single nanovoid with arbitrary shape embedded in an infinite matrix. In this particular problem, to capture the edge and size effects of nanovoids, line elasticity model is used for the void boundary. The results of the heterogeneity problem are then used to determine the elastic properties of 2D nanoporous materials by applying the dilute and Mori-Tanaka schemes. Applications to the case of aluminum and the study the shape and size effects are also presented. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：15

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