Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 167, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2022.104958
Keywords
Actin; Stability; Surfacegrowth; Half-space; Biot problem
Funding
- MIT-FVG Seed Fund
- Italian PRIN 2017 project Mathematics of active materials: From mechanobiology to smart devices
- Italian National Group of Mathematical Physics (GNFM-INdAM)
- Grant of Excellence Departments, MIUR, Italian Ministry of University and Research [314 - 337, 232/2016]
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Motivated by experiments on dendritic actin networks exhibiting surface growth, this study investigates the stability of the growth process. A biaxially stressed half-space growing at its boundary is chosen as the reference geometry, and the actin network is modeled as a neo-Hookean material. The kinetic relation between growth velocity and stress-dependent driving force is utilized. The stability problem is formulated and discussed under different loading and boundary conditions, with and without surface tension, with connections made to Biot's 1963 surface instability threshold.
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.
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