Journal
RESULTS IN PHYSICS
Volume 23, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.rinp.2021.103952
Keywords
Lipid tubule; Shell model; Wave dispersion; First-order shear deformation theory; Nonlocal strain gradient theory
Funding
- National Natural Science Foundation of China [11922205, 11672071]
- LiaoNing Revitalization Talents Program [XLYC1807026]
- Fundamental Research Funds for the Central Universities [N2005019]
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In this paper, wave dispersion analysis of lipid tubules is conducted using FSD shell theory, revealing small-scale effects and considering different types of lipid tubules with size-dependent material properties. Analytical solutions for phase velocity and wave frequency of propagated waves are obtained through Hamilton's principle. Detailed investigations highlight the effects of various factors on the wave dispersion characteristics of lipid tubules.
In this paper, wave dispersion analysis of lipid tubules is presented by using the first-order shear deformation (FSD) shell theory. The small-scale effect is revealed explicitly based on the nonlocal strain gradient theory (NSGT). Different types of lipid tubules with size-dependent material properties are taken into account. Hamilton?s principle is utilized to derive the equations of wave motion. The analytical solutions of phase velocity and wave frequency of propagated waves are obtained. In addition, detailed investigations are implemented to highlight the effects of the types of lipid tubules, the longitudinal and circumferential wave numbers, the material length scale parameters and the nonlocal parameters on the wave dispersion characteristics of lipid tubules.
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