The theoretical model of fcc ultrathin film

I. Ling Chang, Shih Hsiang Chang, Jen Chin Huang

研究成果: Article

8 引文 (Scopus)

摘要

A three-dimensional lattice model is constructed to theoretically study the size effects on the elastic properties of ultrathin films with face-center-cubic crystal structure. The lattice model directly takes the discrete nature in the thickness direction into account and treats the deformations along the film plane with continuum mechanics. Only the interactions between the nearest and second nearest atoms are considered in this model and represented as harmonic springs. The constitutive relation of the ultrathin film is then derived using the energy approach and the analytical expressions of the elastic moduli of ultrathin films, including in-plane, out-plane Young's modulus and Poisson's ratio, are obtained. Moreover, the analytical expressions of ultrathin films with different crystal orientations are also formulated. It is shown that the ultrathin film along in-plane directions may be stiffer or softer than its bulk counterpart, but it is always softer along the out-plane direction.

原文English
頁(從 - 到)5818-5828
頁數11
期刊International Journal of Solids and Structures
44
發行號18-19
DOIs
出版狀態Published - 2007 九月 1

指紋

Ultrathin films
Theoretical Model
Lattice Model
Elastic moduli
modulus of elasticity
Continuum mechanics
Poisson ratio
continuum mechanics
Poisson's Ratio
Crystal lattices
Crystal orientation
Continuum Mechanics
Size Effect
Young's Modulus
Constitutive Relations
Elastic Modulus
Elastic Properties
Crystal Structure
Crystal structure
Crystal

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

引用此文

Chang, I. Ling ; Chang, Shih Hsiang ; Huang, Jen Chin. / The theoretical model of fcc ultrathin film. 於: International Journal of Solids and Structures. 2007 ; 卷 44, 編號 18-19. 頁 5818-5828.
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The theoretical model of fcc ultrathin film. / Chang, I. Ling; Chang, Shih Hsiang; Huang, Jen Chin.

於: International Journal of Solids and Structures, 卷 44, 編號 18-19, 01.09.2007, p. 5818-5828.

研究成果: Article

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