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In this work, we present a method for simulating the large-scale deformation and crumpling of thin, elastoplastic sheets. Motivated by the physical behavior of thin sheets during crumpling, two different formulations of the governing…

Soft Condensed Matter · Physics 2023-07-10 Jovana Andrejevic , Chris H. Rycroft

Instabilities in thin elastic sheets, such as wrinkles, are of broad interest both from a fundamental viewpoint and also because of their potential for engineering applications. Nematic liquid crystal elastomers offer a new form of control…

Soft Condensed Matter · Physics 2019-10-03 Madison S. Krieger , Marcelo A. Dias

We investigate the wrinkling dynamics of a thin elastic sheet that is indented or compressed while floating on a viscous liquid. We show that the deformation speed controls the dynamics, leading to a wrinkle wavelength significantly smaller…

Soft Condensed Matter · Physics 2026-01-21 Ayrton Draux , Marco Rizzo , Dominic Vella , Vincent Démery , Fabian Brau , Pascal Damman

We show that a viscoelastic thin sheet driven out of equilibrium by active structural remodelling develops a rich variety of shapes as a result of a competition between viscous relaxation and activity. In the regime where active processes…

Soft Condensed Matter · Physics 2020-02-26 D. A. Matoz-Fernandez , Fordyce A. Davidson , Nicola R. Stanley-Wall , Rastko Sknepnek

Finite elasticity problems commonly include material and geometric nonlinearities and are solved using various numerical methods. However, for highly nonlinear problems, achieving convergence is relatively difficult and requires small load…

Numerical Analysis · Mathematics 2018-05-01 Yue Mei , Daniel E. Hurtado , Sanjay Pant , Ankush Aggarwal

The processing of thin-structured materials in a fluidic environment, from nearly inextensible but flexible graphene sheets to highly extensible polymer films, arises in many applications. So far, little is known about the dynamics of such…

Soft Condensed Matter · Physics 2022-02-15 Yijiang Yu , Michael D. Graham

A paradigm for the study of wrinkling in elastic sheet is the Lam\'{e} configuration, in which azimuthal wrinkles form in an annular sheet subjected to tensile loads at both edges. Since wrinkles are spatially extended, this instability…

Soft Condensed Matter · Physics 2026-05-13 Yang Liu , Sepideh Razavi , Pietro Cicuta , Dominic Vella , Alain Goriely

We model the formation and evolution of wrinkles in a floating elastic sheet under uniaxial compression. This is a canonical setup in the study of wrinkling, and whilst its static equilibrium configuration is well characterised, its…

Fluid Dynamics · Physics 2025-10-31 Daniel J. Netherwood , Ben S. Humphries , Connor Robbins , Doireann O'Kiely

A rectangular thin elastic sheet is deformed by forcing a contact between two points at the middle of its length. A transition to buckling with stress focusing is reported for the sheets sufficiently narrow with a critical width…

Soft Condensed Matter · Physics 2021-07-14 Thomas Barois , Ilyes Jalisse , Loïc Tadrist , Emmanuel Virot

Using dimensionally reduced models for the numerical simulation of thin objects is highly attractive as this reduces the computational work substantially. The case of narrow thin elastic bands is considered and a convergent finite element…

Numerical Analysis · Mathematics 2019-11-20 Sören Bartels

The formation of periodic wrinkles in soft layered materials due to mechanical instabilities is prevalent in nature and has been proposed for use in multiple applications. However, such phenomena have been explored predominantly in…

We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and its incremental…

Soft Condensed Matter · Physics 2018-10-04 Yipin Su , Bin Wu , Weiqiu Chen , Michel Destrade

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

Numerical Analysis · Mathematics 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

The properties of a hinged floating elastic sheet of finite length under compression are considered. Numerical continuation is used to compute spatially localized buckled states with many spatially localized folds. Both symmetric and…

Pattern Formation and Solitons · Physics 2019-04-24 Leonardo Gordillo , Edgar Knobloch

A thin circular elastic sheet floating on a drop-like liquid substrate is deformed due to incompatibility between the curved substrate and the planar sheet. We adopt a variational viewpoint by minimizing the non-convex membrane energy…

Analysis of PDEs · Mathematics 2026-02-19 Peter Bella , Carlos Román

Active control of wrinkling in soft film-substrate composites using electric fields is a critical challenge in tunable material systems. Here, we investigate the electro-mechanical instability of a soft dielectric film bonded to a…

Soft Condensed Matter · Physics 2026-04-14 Bin Wu , Linghao Kong , Weiqiu Chen , Davide Riccobelli , Michel Destrade

We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought beyond complete…

Soft Condensed Matter · Physics 2018-06-11 Taisiya Sigaeva , Robert Mangan , Luigi Vergori , Michel Destrade , Les Sudak

Nematic elastomers are rubbery solids which have liquid crystals incorporated into their polymer chains. These materials display many unusual mechanical properties, one such being the ability to form fine-scale microstructure. In this work,…

Soft Condensed Matter · Physics 2017-04-05 Paul Plucinsky , Kaushik Bhattacharya

Shells are ubiquitous thin structures that can undergo large nonlinear elastic deformations while exhibiting combined modes of bending and stretching, and have profound modern applications. In this paper, we have proposed a new Isogeometric…

Soft Condensed Matter · Physics 2022-06-22 Nikhil Padhye , Subodh Kalia

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
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