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Polar regions are covered by sea ice, which can be seen as a thin solid elastic sheet with heterogeneous mechanical properties. The dynamics of deformation of a floating solid sheet are primarly governed by gravity, water density, and the…

Fluid Dynamics · Physics 2025-09-03 G. Le Doudic , M. Jafari , J. Barckicke , S. Perrard , A. Eddi

We document a sequence of bifurcations and elastic patterns in sheared bent sheets of intermediate aspect ratio. The sheets undergo inversion of curvature through the passage of localized features, often in S-shaped pairs. Nested…

Soft Condensed Matter · Physics 2026-02-18 D. Gimeno , B. K. Meghwar , G. Fisher , R. S. Hutton , E. Hamm , J. A. Hanna

A (bar-and-joint) framework is a set of points in a normed space with a set of fixed distance constraints between them. Determining whether a framework is locally rigid - i.e. whether every other suitably close framework with the same…

Metric Geometry · Mathematics 2024-01-18 Sean Dewar

Integrity of layered structures, extensively used in modern industry, strongly depends on the quality of their interfaces; poor adhesion or delamination can lead to a failure of the structure. Can nonlinear waves help us to control the…

Pattern Formation and Solitons · Physics 2015-11-20 K. R. Khusnutdinova , M. R. Tranter

This work is a continuation of the ongoing research on deformation behavior of reinforced concrete elements under tension. The previous studies have revealed that deformation behaviors of elements reinforced with multiple bars and the…

Materials Science · Physics 2019-06-04 Viktor Gribniak , Ronaldas Jakubovskis , Arvydas Rimkus , Pui-Lam Ng , David Hui

The transient network literature up to now has considered that the connection probability of a free strand does not depend on the strand extension, in contrast with the disconnection probability. We argue that, on thermodynamic grounds,…

Materials Science · Physics 2007-05-23 J. -F. Palierne

We present a simple method for accessing the elastic properties of microscopic deformable particles. This method is based on measuring the pressure-induced deformation of soft particles as they are forced through a tapered glass…

Soft Condensed Matter · Physics 2012-09-04 Hans M. Wyss , Thomas Franke , Elisa Mele , David A. Weitz

A variational framework is introduced to describe how a surface bends when it is subject to local constraints on its geometry. This framework is applied to describe the patterns of a folded sheet of paper. The unstretchability of paper…

Other Condensed Matter · Physics 2008-01-24 Jemal Guven , Martin Michael Mueller

Highly compressible solids, such as foams, exhibit complex responses, including pronounced tension-compression asymmetry. Capturing such behaviors within unified hyperelastic frameworks remains challenging. Invariant-based hyperelastic…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 Miguel Angel Moreno-Mateos , Simon Wiesheier , Paul Steinmann , Ellen Kuhl

Entangled matter provides intriguing perspectives in terms of deformation mechanisms, mechanical properties, assembly and disassembly. However, collective entanglement mechanisms are complex, occur over multiple length scales, and they are…

Soft Condensed Matter · Physics 2024-12-10 Youhan Sohn , Saeed Pezeshki , Francois Barthelat

There is no universal model for thixotropy, and comparing thixotropic effects between different fluids is a subtle yet challenging problem. We introduce a generalized (model-insensitive) framework for comparing thixotropic properties based…

Soft Condensed Matter · Physics 2023-11-28 Samya Sen , Randy H. Ewoldt

This work focuses on the bearing rigidity theory, namely the branch of knowledge investigating the structural properties necessary for multi-element systems to preserve the inter-units bearings when exposed to deformations. The original…

Systems and Control · Computer Science 2021-03-24 Giulia Michieletto , Angelo Cenedese , Daniel Zelazo

In this paper, we describe a uniform and standardized approach for analytically verifying the stability of isotropic, incompressible hyperelastic material models. Here, we address {\sl stability} as fulfillment of the {\sc Hill} condition…

Materials Science · Physics 2025-12-03 Herbert Baaser

This paper presents the stability analysis of a system composed of rotating beams on a flexible, circular fixed ring, using the Routh-Hurwitz criterion. The model displayed has been fully developed within the rotating frame by use of an…

Classical Physics · Physics 2012-09-28 Nicolas Lesaffre , Jean-Jacques Sinou , Fabrice Thouverez

We explore the influence of density fluctuations on isotropic and anisotropic configurations, extending the concept of cracking for general relativistic fluid spheres. This concept, conceived to describe the behaviour of anisotropic matter…

General Relativity and Quantum Cosmology · Physics 2016-11-16 Guillermo A. Gonzalez , Anamaria Navarro , Luis A. Nunez

We study computationally the creep and yielding of athermal gels and fibre network materials under a constant imposed shear stress, within a minimal model of interconnected filaments with central forces in $d=2$ spatial dimensions. Each…

Soft Condensed Matter · Physics 2026-01-23 Michael J. Hertaeg , Suzanne M. Fielding

The morphology of an elastic strip subject to vertical compressive stress on a frictional rigid substrate is investigated by a combination of theory and experiment. We find a rich variety of morphologies, which -when the bending elasticity…

Soft Condensed Matter · Physics 2017-05-03 Tomohiko G. Sano , Tetsuo Yamaguchi , Hirofumi Wada

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

We present a theory for the elasticity of cross-linked stiff polymer networks. Stiff polymers, unlike their flexible counterparts, are highly anisotropic elastic objects. Similar to mechanical beams stiff polymers easily deform in bending,…

Soft Condensed Matter · Physics 2007-11-26 C. Heussinger , B. Schaefer , E. Frey

This work is devoted so show the appearance of different cracking modes in linearly elastic thin film systems by means of an asymptotic analysis as the thickness tends to zero. By superposing two thin plates, and upon suitable scaling law…

Analysis of PDEs · Mathematics 2015-09-14 Jean-Francois Babadjian , Duvan Henao
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