Issue 33, 2014
From the journal:

Soft Matter

Buckling of an elastic rod embedded on an elastomeric matrix: planar vs. non-planar configurations†

Tianxiang Su,‡§a   Jia Liu,‡a   Denis Terwagne,‡b   Pedro M. Reis*bc  and  Katia Bertoldi*ad  

* Corresponding authors

a School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA
E-mail: bertoldi@seas.harvard.edu

b Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA
E-mail: preis@mit.edu

c Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA

d Kavli Institute for Bionano Science and Technology, Harvard University, Cambridge, MA, USA

Abstract

We investigate the buckling of a slender rod embedded in a soft elastomeric matrix through a combination of experiments, numerics and theory. Depending on the control parameters, both planar wavy (2D) or non-planar coiled (3D) configurations are observed in the post-buckling regime. Our analytical and numerical results indicate that the rod buckles into 2D configurations when the compression forces associated to the two lowest critical modes are well separated. In contrast, 3D coiled configurations occur when the two buckling modes are triggered at onset, nearly simultaneously. We show that the separation between these two lowest critical forces can be controlled by tuning the ratio between the stiffness of the matrix and the bending stiffness of the rod, thereby allowing for specific buckling configurations to be target by design.

Graphical abstract: Buckling of an elastic rod embedded on an elastomeric matrix: planar vs. non-planar configurations

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Article information

DOI
https://doi.org/10.1039/C4SM00952E
Article type
Paper
Submitted
02 May 2014
Accepted
20 Jun 2014
First published
27 Jun 2014

Soft Matter, 2014,10, 6294-6302

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Buckling of an elastic rod embedded on an elastomeric matrix: planar vs. non-planar configurations

T. Su, J. Liu, D. Terwagne, P. M. Reis and K. Bertoldi, Soft Matter, 2014, 10, 6294 DOI: 10.1039/C4SM00952E

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