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

共 47 条

[1] Barber J.R., 2002, Elasticity
[2] Imperfect soft and stiff interfaces in two-dimensional elasticity
Benveniste, Y
Miloh, T
[J]. MECHANICS OF MATERIALS, 2001, 33 (06) : 309 - 323
[3] A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media
Benveniste, Y
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2006, 54 (04) : 708 - 734
[4] Surface and interface stress effects on interfacial and nanostructured materials
Cammarata, RC
[J]. MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 1997, 237 (02): : 180 - 184
[5] THE ELASTIC-MODULI OF A SHEET CONTAINING CIRCULAR HOLES
DAY, AR
SNYDER, KA
GARBOCZI, EJ
THORPE, MF
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1992, 40 (05) : 1031 - 1051
[6] Boundary element analysis of nanoinhomogeneities of arbitrary shapes with surface and interface effects
Dong, C. Y.
Pan, E.
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2011, 35 (08) : 996 - 1002
[7] Algorithm 756: A MATLAB toolbox for Schwarz-Christoffel mapping
Driscoll, TA
[J]. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1996, 22 (02): : 168 - 186
[8] Nanoporous materials can be made stiffer than non-porous counterparts by surface modification
Duan, H. L.
Wang, J.
Karihaloo, B. L.
Huang, Zt.
[J]. ACTA MATERIALIA, 2006, 54 (11) : 2983 - 2990
[9] Theory of Elasticity at the Nanoscale
Duan, H. L.
Wang, J.
Karihaloo, B. L.
[J]. ADVANCES IN APPLIED MECHANICS, VOL 42, 2009, 42 : 1 - 68
[10] Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress
Duan, HL
Wang, J
Huang, ZP
Karihaloo, BL
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2005, 53 (07) : 1574 - 1596

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