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The compression of soft elastic matter and biological tissue can lead to creasing, an instability where a surface folds sharply into periodic self-contacts. Intriguingly, the unfolding of the surface upon releasing the strain is usually not…

Paradigmatic model systems, which are used to study the mechanical response of matter, are random networks of point-atoms, random sphere packings, or simple crystal lattices, all of these models assume central-force interactions between…

Soft Condensed Matter · Physics 2016-01-14 M. Schlegel , J. Brujic , E. M. Terentjev , A. Zaccone

The preference of thin flat sheets to bend rather than stretch, combined with results from Geometry, mean that changes in a thin sheet's Gaussian curvature are prohibitively expensive. As a result, an imposed curvature in one principal…

Soft Condensed Matter · Physics 2019-08-19 Matteo Taffetani , Finn Box , Arthur Neveu , Dominic Vella

We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure, motivated by stability problems of electrodynamic space tethers. Both statical (buckling) and dynamical (whirling) instability are…

Dynamical Systems · Mathematics 2008-10-22 J. Valverde , G. H. M. van der Heijden

Confined geometries offer useful and experimentally amenable mechanical testing arrangements in which to study the molecular and micro-structural processes which govern plastic yield in stress environments dominated by hydrostatic pressure…

Materials Science · Physics 2021-06-09 Owen Brazil , Johann P. de Silva , John B. Pethica , Graham L. W. Cross

Pattern-forming metamaterials feature microstructures specifically designed to change the material's macroscopic properties due to internal instabilities. These can be triggered either by mechanical deformation or, in the case of active…

Molecular dynamics simulations are performed to investigate the misfit strain-induced buckling of the transition-metal dichalcogenide (TMD) lateral heterostructures, denoted by the seamless epitaxial growth of different TMDs along the…

Materials Science · Physics 2018-08-10 Jin-Wu Jiang

Flexible surfaces can modulate fluid forces through deformation, enabling passive adaptation to flow conditions. Here we show that kirigami sheets, planar surfaces patterned with arrays of parallel slits, provide a simple route to tunable…

Fluid Dynamics · Physics 2026-04-23 Agathe Schmider , Tom Marzin , Sophie Ramananarivo

We study the behavior of thin elastic sheets that are bent and strained under the influence of weak, smooth confinement. We show that the emerging shapes exhibit the coexistence of two types of domains that differ in their characteristic…

Soft Condensed Matter · Physics 2011-02-15 Robert D. Schroll , Eleni Katifori , Benny Davidovitch

A recent approach to the design of flexible electronic devices consists of cutting a two-dimensional sheet to form a central hub connected to several tapered `spokes', resembling the hub-and-spoke of a bicycle wheel. When radially…

Soft Condensed Matter · Physics 2025-04-10 Jason Barckicke , Lucie Domino , Qun Zhang , Mingchao Liu , Dominic Vella

The consolidation of suspended particulate matter under external forces such as pressure or gravity is of widespread interest. In this work, we derive a constitutive relation to describe the deformation of a {\it two-dimensional} strongly…

Soft Condensed Matter · Physics 2014-02-26 Saikat Roy , Mahesh S Tirumkudulu

Wood deformation, in particular when subject to compression, exhibits scale-free avalanche-like behavior as well as structure-dependent localization of deformation. We have taken three-dimensional (3D) x-ray tomographs during compression…

Statistical Mechanics · Physics 2022-11-10 Tero Mäkinen , Alisa Halonen , Juha Koivisto , Mikko J. Alava

Buckling plays a critical role in the transport and dynamics of elastic microfilaments in Stokesian fluids. However, previous work has only considered filaments with homogeneous structural properties. Filament backbone stiffness can be…

Soft Condensed Matter · Physics 2023-01-20 Thomas Nguyen , Harishankar Manikantan

Spatially confined rigid membranes reorganize their morphology in response to the imposed constraints. A crumpled elastic sheet presents a complex pattern of random folds focusing the deformation energy while compressing a membrane resting…

This paper presents a class of 3D single-scale isotropic materials with tunable stiffness and buckling strength obtained via topology optimization and subsequent shape optimization. Compared to stiffness-optimal closed-cell plate material,…

Numerical Analysis · Mathematics 2021-05-05 Fengwen Wang , Ole Sigmund

In our common experience, crumpling a sheet requires external compressive force and leads to a random network of folds. However, thin sheets have been theoretically predicted to spontaneously transition from a flat to a crumpled state…

Soft Condensed Matter · Physics 2025-12-09 Aashna Chawla , Deepak Kumar

The wrinkling of thin elastic objects provides a means of generating regular patterning at small scales in applications ranging from photovoltaics to microfluidic devices. Static wrinkle patterns are known to be governed by an energetic…

Soft Condensed Matter · Physics 2020-01-28 Finn Box , Doireann O'Kiely , Ousmane Kodio , Maxime Inizan , Alfonso A. Castrejon-Pita , Dominic Vella

A new continuous model of shearable rod, subject to large elastic deformation, is derived from nonlinear homogenization of a one-dimensional periodic microstructured chain. As particular cases, the governing equations reduce to the Euler…

Soft Condensed Matter · Physics 2025-03-24 M. Paradiso , F. Dal Corso , D. Bigoni

A lattice of elastic Rayleigh rods organized in a parallelepiped geometry can be axially loaded up to an arbitrary amount without distortion and then be subject to incremental time-harmonic dynamic motion. At certain threshold levels of…

Classical Physics · Physics 2021-03-04 Giovanni Bordiga , Luigi Cabras , Andrea Piccolroaz , Davide Bigoni

Metals are important structural materials for transport and the built environment. Low carbon steels can fail through strain localisation due to the role of interstitial solute atoms (such as carbon and nitrogen) interacting with mobile…

Materials Science · Physics 2019-01-24 James L R Hickey , S Rouland , T B Britton