Issue |
EPL
Volume 95, Number 6, September 2011
|
|
---|---|---|
Article Number | 64002 | |
Number of page(s) | 6 | |
Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
DOI | https://doi.org/10.1209/0295-5075/95/64002 | |
Published online | 01 September 2011 |
Creases in soft tissues generated by growth
School of Engineering and Applied Sciences, Kavli Institute for Nanobio Science and Technology, Harvard University - Cambridge, MA 02138, USA
Received:
19
June
2011
Accepted:
2
August
2011
Soft tissues growing under constraint often form creases. We adopt the model of growth that factors the deformation gradient into a growth tensor and an elastic deformation tensor, and show that the critical conditions for the onset of creases take a remarkably simple form. The critical conditions are illustrated with tubes of tissues growing either inside a rigid shell or outside a rigid core. By comparing the critical conditions for the onset of wrinkles, we show that the creases are the preferred type of instability. Furthermore, deep creases in a tube are simulated by using the finite-element method, and the number of creases in the tube is estimated by minimizing the free energy.
PACS: 46.32.+x – Static buckling and instability / 87.16.A- – Theory, modeling, and simulations / 87.17.Ee – Growth and division
© EPLA, 2011
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.