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Title: Elastic properties of a polyethylene single-molecule
Authors: Lim, T.-C. 
Keywords: Analytical form
Bond bending
Bond stretching
Hooke's law
Poisson's ratio
Solid mechanics
Issue Date: Nov-2003
Citation: Lim, T.-C. (2003-11). Elastic properties of a polyethylene single-molecule. Journal of Mathematical Chemistry 34 (3-4) : 215-220. ScholarBank@NUS Repository.
Abstract: Analytical closed-form solution of the elastic properties (such as longitudinal stiffness, shear stiffness and Poisson's ratio) of a taut polyethylene single-molecule is developed in this paper in terms of C-C and C-C-C bond parameters. The concepts considered herein include resolution of forces and of displacement, with due application of Hooke's law to determine the longitudinal stiffness and the in-plane Poisson's ratio. Adopting the solid mechanics theory as an analogy, the shear stiffness of a taut polyethylene chain is conveniently obtained. Results reveal unique Poisson's ratio property of a polyethylene single-molecule in comparison to usual bulk materials, thereby suggesting size-dependency of nano-scale materials in terms of the Poisson's ratio. Finally some frequently occurring terms in all three elastic property expressions are grouped to summarize and to reveal some form of uniformity in the analytical solutions.
Source Title: Journal of Mathematical Chemistry
ISSN: 02599791
DOI: 10.1023/B:JOMC.0000004070.49165.fe
Appears in Collections:Staff Publications

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