Emergent perversions in the buckling of heterogeneous elastic strips.
A perversion in an otherwise uniform helical structure, such as a climbing plant tendril, refers to a kink that connects two helices with opposite chiralities. Such singularity structures are widely seen in natural and artificial mechanical systems, and they provide the fundamental mechanism of helical symmetry breaking. However, it is still not clear how perversions arise in various helical structures and which universal principles govern them. As such, a heterogeneous elastic bistrip system provides an excellent model to address these questions. Here, we investigate intrinsic perversion properties which are independent of strip shapes. This study reveals the rich physics of perversions in the 3D elastic system, including the condensation of strain energy over perversions during their formation, the repulsive nature of the perversion-perversion interaction, and the coalescence of perversions that finally leads to a linear defect structure. This study may have implications for understanding relevant biological motifs and for use of perversions as energy storers in the design of micromuscles and soft robotics.
Department of Materials Science and Engineering, Northwestern University, Evanston, IL 60208-3108;
Shuangping
S
Liu
Department of Materials Science and Engineering, Northwestern University, Evanston, IL 60208-3108;
Zhenwei
Z
Yao
Department of Materials Science and Engineering, Northwestern University, Evanston, IL 60208-3108;
Kevin
K
Chiou
Department of Materials Science and Engineering, Northwestern University, Evanston, IL 60208-3108; Department of Chemistry, Northwestern University, Evanston, IL 60208-3108; Department of Medicine, Northwestern University, Chicago, IL 60611; Simpson Querrey Institute for BioNanotechnology, Chicago, IL 60611;
Samuel I
SI
Stupp
Department of Materials Science and Engineering, Northwestern University, Evanston, IL 60208-3108; Department of Chemistry, Northwestern University, Evanston, IL 60208-3108; Department of Chemical and Biological Engineering, Northwestern University, Evanston, IL 60208-3108; Department of Physics, Northwestern University, Evanston, IL 60208-3108 m-olvera@northwestern.edu.
Monica
M
Olvera de la Cruz
defect; elasticity; energy concentration; helix; perversion