Engineering PapersSearch

DOE OSTI · 2532457

Rippled metamaterials with scale-dependent tailorable elasticity

Abstract

Thermally induced ripples are intrinsic features of nanometer-thick films, atomically thin materials, and cell membranes, significantly affecting their elastic properties. Despite decades of theoretical studies on the mechanics of suspended thermalized sheets, controversy still exists over the impact of these ripples, with conflicting predictions about whether elasticity is scale-dependent or scale-independent. Experimental progress has been hindered so far by the inability to have a platform capable of fully isolating and characterizing the effects of ripples. This knowledge gap limits the fundamental understanding of thin materials and their practical applications. Here, we show that thermal-like static ripples shape thin films into a class of metamaterials with scale-dependent, customizable elasticity. Utilizing a scalable semiconductor manufacturing process, we engineered nanometer-thick films with precisely controlled frozen random ripples, resembling snapshots of thermally fluctuating membranes. Resonant frequency measurements of rippled cantilevers reveal that random ripples effectively renormalize and enhance the average bending rigidity and sample-to-sample variations in a scale-dependent manner, consistent with recent theoretical estimations. The predictive power of the theoretical model, combined with the scalability of the fabrication process, was further exploited to create kirigami architectures with tailored bending rigidity and mechanical metamaterials with delayed buckling instability.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Zhou, Jian [Argonne National Laboratory (ANL), Argonne, IL (United States); State Univ. of New York (SUNY), Binghamton, NY (United States)] (ORCID:0000000160321007), Huang, Richard Weiwei [Harvard Univ., Cambridge, MA (United States)] (ORCID:0000000299474083), Moldovan, Nicolaie [Argonne National Laboratory (ANL), Argonne, IL (United States)] (ORCID:0000000157154957), Stan, Liliana [Argonne National Laboratory (ANL), Argonne, IL (United States)] (ORCID:0000000346267256), Wen, Jianguo [Argonne National Laboratory (ANL), Argonne, IL (United States)] (ORCID:0000000237550044), Jin, Dafei [Argonne National Laboratory (ANL), Argonne, IL (United States); University of Notre Dame, IN (United States)] (ORCID:0000000280353580), Nelson, David R. [Harvard Univ., Cambridge, MA (United States)] (ORCID:0000000265416643), Košmrlj, Andrej [Princeton Univ., NJ (United States)] (ORCID:0000000161379200), Czaplewski, David A. [Argonne National Laboratory (ANL), Argonne, IL (United States)] (ORCID:0000000322620908), López, Daniel [Pennsylvania State Univ., University Park, PA (United States)] (ORCID:0000000171744013). 2025-03-19. Rippled metamaterials with scale-dependent tailorable elasticity. https://doi.org/10.1073/pnas.2425200122

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related reports

Multistage nucleation pathway in LiF molten salt mirrors the crystal–melt interface structure

Despite over a century of studies, fundamental questions remain about the processes governing crystal nucleation from melts or solutions. Research over the past three decades has presented mounting evidence for kinetic pathways of crystal nucleation that are more complex than envisioned by the simplest forms of classical theory. Such observations have been presented for colloidal and elemental systems with covalent and metallic bonding. Despite the technological and geochemical importance of molten salts, similar studies for these ionically bonded systems are currently lacking. Here we develop a machine learning interatomic potential for a model ionic system: LiF. The potential features quantum-level accuracy for both liquid and multiple solid polymorphs over wide temperature and pressure ranges and accurately reproduces experimentally measured properties. Thanks to the efficiency of the potential, which enables microsecond-scale molecular dynamics simulations, induction times for nucleation of LiF solids from their melts are computed over a range of undercoolings. With the aid of a set of robust local order parameters established here, the simulations reveal that homogeneous crystal nucleation in undercooled melts preferentially initiates from liquid regions showing slow dynamics and high bond orientational order simultaneously, and the second-shell order of both precritical nuclei and the surface of postcritical nuclei is dominated by hexagonal close packing and body-centered cubic local structure, even though the nucleus core is dominated by face-centered cubic structure corresponding to the stable rocksalt crystal structure. Finally, we establish a connection between the crystallization pathway and the equilibrium crystal-melt interface structure.

Applied Physical Sciences