Conformability of flexible sheets on spherical surfaces

S Liu, J He, Y Rao, Z Dai, H Ye, JC Tanir, Y Li… - Science Advances, 2023 - science.org
Three-dimensional surface-conformable electronics is a burgeoning technology with
potential applications in curved displays, bioelectronics, and biomimetics. Flexible …

Nanoelectromechanical systems from two-dimensional materials

PF Ferrari, SP Kim, AM van der Zande - Applied Physics Reviews, 2023 - pubs.aip.org
Micro-and nanoelectromechanical systems have numerous applications in sensing and
signal transduction. Many properties benefit from reducing the system size to the nanoscale …

Thermalized buckling of isotropically compressed thin sheets

S Shankar, DR Nelson - Physical Review E, 2021 - APS
The buckling of thin elastic sheets is a classic mechanical instability that occurs over a wide
range of scales. In the extreme limit of atomically thin membranes like graphene, thermal …

Dynamics of fluctuations and thermal buckling in graphene from a phase-field crystal model

E Granato, KR Elder, SC Ying, T Ala-Nissila - Physical Review B, 2023 - APS
We study the effects of thermal fluctuations and pinned boundaries in graphene membranes
by using a phase-field crystal model with out-of-plane deformations. For sufficiently long …

Thermal buckling transition of crystalline membranes in a field

P Le Doussal, L Radzihovsky - Physical Review Letters, 2021 - APS
Two-dimensional crystalline membranes in isotropic embedding space exhibit a flat phase
with anomalous elasticity, relevant, eg, for graphene. Here we study their thermal …

Thermal buckling and symmetry breaking in thin ribbons under compression

PZ Hanakata, SS Bhabesh, MJ Bowick… - Extreme Mechanics …, 2021 - Elsevier
Understanding thin sheets, ranging from the macro to the nanoscale, can allow control of
mechanical properties such as deformability. Out-of-plane buckling due to in-plane …

Dynamic scaling of out-of-plane fluctuations in freestanding graphene

E Granato, M Greb, KR Elder, SC Ying, T Ala-Nissila - Physical Review B, 2022 - APS
We study the dynamical behavior of the mean-square displacement of height fluctuations of
freestanding graphene using a phase-field-crystal model introduced recently. We find that …

The reformulated Koiter–Newton method for thermal–mechanical buckling and postbuckling analysis of thin‐walled structures

K Liang, Z Li - International Journal for Numerical Methods in …, 2022 - Wiley Online Library
The reduced‐order modeling method, termed as the Koiter–Newton method, is reformulated
to be applicable for geometrically nonlinear thermal–mechanical analysis of thin‐walled …

Anomalous thermal expansion in ising-like puckered sheets

PZ Hanakata, A Plummer, DR Nelson - Physical Review Letters, 2022 - APS
Motivated by efforts to create thin nanoscale metamaterials and understand atomically thin
binary monolayers, we study the finite temperature statistical mechanics of arrays of bistable …

Curvature as an external field in mechanical antiferromagnets

A Plummer, PZ Hanakata, DR Nelson - Physical Review Materials, 2022 - APS
A puckered sheet is a freestanding crystalline membrane with an embedded array of
bistable buckled units. Recent work has shown that the bistable units behave like spins in a …