Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session K29: Morphing Matter II
3:00 PM–5:12 PM,
Tuesday, March 5, 2024
Room: 101J
Sponsoring
Unit:
DSOFT
Chair: Tian Gao, Physique et Mécanique des Milieux Hétérogènes, ESPCI
Abstract: K29.00010 : Conformal symmetry & elastodynamics of dilational metamaterials*
4:48 PM–5:00 PM
Presenter:
Neel Singh
(Georgia Institute of Technology)
Authors:
Neel Singh
(Georgia Institute of Technology)
Audrey A Watkins
(Harvard University)
Giovanni Bordiga
(Harvard University)
Vincent Tournat
(LAUM UMR CNRS 6613, Institut d'Acoustique Graduate School)
Katia Bertoldi
(Harvard University)
Zeb Rocklin
(Georgia Institute of Technology)
Two-dimensional mechanical metamaterials can be imbued with a low-energy uniform dilational mode via precise geometry utilizing rigid plates connected by thinner ligaments that bend easily, so-called planar kirigami. Recent work has shown that such structures exhibit static conformal deformations at low energies, able to accommodate a large range of loading conditions by primarily activating the local mechanism. In this talk, I examine the role that conformal symmetry plays in the dynamics of these dilational metamaterials. This symmetry ensures the existence of conformal boundary modes operating at frequencies set by the small bulk modulus, rather than the large shear modulus. Additionally, even the bulk modes are subject to potentially infinite conformal symmetries, leading to conserved quantities that generalise the concept of momentum for dilational materials. The strength of these effects is controlled by finite cell size and the small ratio of bulk to shear modulus, which itself is determined by the geometric design and material properties of the system. Using simulations of rotating-square lattices, we explore how the inherent geometric non-linearity, viscoelasticity, and driving terms influence these phenomena under realistic conditions as can be achieved experimentally.
*Army Research Office (MURI # W911NF2210219)
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700