Effective elastic stiffness of 2D materials containing nanovoids of arbitrary shape. (May 2020)

• Record Type: Journal Article
• Authors: Doan, Tung; Le-Quang, Hung; To, Quy-Dong
• Is Part Of: International journal of engineering science. Volume 150(2020:May)
• Publication Date: 2020-05
• Subjects: Effective elastic modulus -- Numerical conformal mapping -- 2D Material -- Eshelby problem -- Arbitrary shape void -- Surface effect; Engineering -- Periodicals; Ingénierie -- Périodiques; Engineering; Periodicals; 620
• DOI: 10.1016/j.ijengsci.2020.103234
• Languages: English
• ISSNs: 0020-7225

Abstract

Abstract: 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.