Surface accretion of a pre-stretched half-space: Biot’s problem revisited
Name
2022 Biot EP+GT.pdf
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1.63 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Abeyaratne, Rohan
Puntel, Eric
Recrosi, Filippo
Tomassetti, Giuseppe
Date Issued
October 2022
Journal
Journal of the Mechanics and Physics of Solids
Publisher
Elsevier BV
Citation
Rohan Abeyaratne, Eric Puntel, Filippo Recrosi, Giuseppe Tomassetti, Surface accretion of a pre-stretched half-space: Biot’s problem revisited, Journal of the Mechanics and Physics of Solids, Volume 167, 2022, 104958.
Version
Author's final manuscript
Abstract
Motivated by experiments on dendritic actin networks exhibiting surface growth, we address the problem of the stability of this growth process. We choose as a simple, reference geometry a biaxially stressed half-space growing at its boundary. The actin network is modeled as a neo-Hookean material. A kinetic relation between growth velocity and a stress-dependent driving force for growth is utilized. The stability problem is formulated and results are discussed for different loading and boundary conditions, with and without surface tension. Connections are
drawn with Biot’s 1963 surface instability threshold.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-ShareAlike
Attribution-NonCommercial-ShareAlike 4.0 International
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DOI of Published Version
https://doi.org/10.1016/j.jmps.2022.104958
