Deformation and relaxation of an incompressible viscoelastic body with surface viscoelasticity
Autor: | Ramsey A. Foty, Liping Liu, Hao Lin, Miao Yu |
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Rok vydání: | 2017 |
Předmět: |
Materials science
Mechanical Engineering 02 engineering and technology Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Viscoelasticity Surface membrane Surface tension Classical mechanics Mechanics of Materials Surface elasticity Indentation 0103 physical sciences Compressibility Boundary value problem Elasticity (economics) 010306 general physics 0210 nano-technology |
Zdroj: | Journal of the Mechanics and Physics of Solids. 98:309-329 |
ISSN: | 0022-5096 |
DOI: | 10.1016/j.jmps.2016.09.013 |
Popis: | Measuring mechanical properties of cells or cell aggregates has proven to be an involved process due to their geometrical and structural complexity. Past measurements are based on material models that completely neglect the elasticity of either the surface membrane or the interior bulk. In this work, we consider general material models to account for both surface and bulk viscoelasticity. The boundary value problems are formulated for deformations and relaxations of a closed viscoelastic surface coupled with viscoelastic media inside and outside of the surface. The linearized surface elasticity models are derived for the constant surface tension model and the Helfrich-Canham bending model for coupling with the bulk viscoelasticity. For quasi-spherical surfaces, explicit solutions are obtained for the deformation, stress-strain and relaxation behaviors under a variety of loading conditions. These solutions can be applied to extract the intrinsic surface and bulk viscoelastic properties of biological cells or cell aggregates in the indentation, electro-deformation and relaxation experiments. |
Databáze: | OpenAIRE |
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