Supplementary material from "Geometric localization in supported elastic struts"
Version 2 2019-09-09, 13:15
Version 1 2019-08-26, 09:34
Posted on 2019-08-26 - 09:34
Localized deformation patterns are a common motif in morphogenesis and are increasingly finding applications in materials science and engineering, in such instances as mechanical memories. Here, we describe the emergence of spatially localized deformations in a minimal mechanical system by exploring the impact of growth and shear on the conformation of a semi-flexible filament connected to a pliable shearable substrate. We combine numerical simulations of a discrete rod model with theoretical analysis of the differential equations recovered in the continuum limit to quantify (in the form of scaling laws) how geometry, mechanics and growth act together to give rise to such localized structures in this system. We find that spatially localized deformations along the filament emerge for intermediate shear modulus and increasing growth. Finally, we use experiments on a 3D printed multi-material model system to demonstrate that external control of the amount of shear and growth may be used to regulate the spatial extent of the localized strain texture.
CITE THIS COLLECTION
3D Printing in Medicine
3D-Printed Materials and Systems
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
ABI Technik (German)
Academy of Management Discoveries
Academy of Management Journal
Academy of Management Learning and Education
Academy of Management Perspectives
Academy of Management Proceedings
Academy of Management Review
Michaels, T.C.T.; Kusters, R.; Dear, A.J.; Storm, C.; Weaver, J.C.; Mahadevan, L. (2019). Supplementary material from "Geometric localization in supported elastic struts". The Royal Society. Collection. https://doi.org/10.6084/m9.figshare.c.4643474.v1
Select your citation style and then place your mouse over the citation text to select it.
Read the peer-reviewed publication