Energy‐principle‐based analysis of elastic instability in polymer cylinders subject to surface tension

An elastic instability model of polymer cylinder subject to surface tension is studied by energy functional analysis. The no‐classical boundary conditions and equilibrium equation are derived by introducing stress double harmonic function. The criteria of instability with surface tension contributio...

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Vydáno v:Journal of applied polymer science Ročník 141; číslo 32
Hlavní autoři: Huang, Dianwu, Liu, Hongfei
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hoboken, USA John Wiley & Sons, Inc 20.08.2024
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Témata:
Boundary conditions
Cylinders
Elastic analysis
Elastic instability
Equilibrium equations
Functional analysis
Harmonic functions
intrinsic scale
Microelectromechanical systems
Modulus of elasticity
Nanoelectromechanical systems
polymer cylinder
Polymers
Shear modulus
Stability criteria
Surface stability
Surface tension
Wavelengths
ISSN:0021-8995, 1097-4628
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Shrnutí:An elastic instability model of polymer cylinder subject to surface tension is studied by energy functional analysis. The no‐classical boundary conditions and equilibrium equation are derived by introducing stress double harmonic function. The criteria of instability with surface tension contribution are deduced by substituting stress solution into boundary conditions. The results show that the criterion equation of elastic instability is relevant to the radius and intrinsic scale and instable wavelength or wavenumber of cylinder. Therefore, the relation between shear modulus and surface tension has the same trend comparing with the result of Barrierès' et al. This study provides insights into the instability of polymer and has important implications for the development of nanoscale cylindrical element in micro electro mechanical systems (MEMS) or nano electro mechanical systems (NEMS). Beginning with the energy principle, the energy functional of isotropic elastic colloidal systems was studied. Governing equations and boundary conditions were derived, stress was solved using the stress function, and then substituted into the boundary conditions to obtain the criterion equation for instability.
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ISSN:0021-8995
1097-4628
DOI:10.1002/app.55751