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Soft materials, such as liquids, polymers, foams, gels, colloids, granular materials, and most soft biological materials, play an important role in our daily lives. From a mechanical viewpoint, soft materials can easily achieve large…

Soft Condensed Matter · Physics 2022-12-16 Shengyou Yang , Pradeep Sharma

When a block made of an elastomer is subjected to large shear, its surface remains flat. When a block of biological soft tissue is subjected to large shear, it is likely that its surface in the plane of shear will buckle (apparition of…

Soft Condensed Matter · Physics 2008-12-09 M. Destrade , M. D. Gilchrist , D. A. Prikazchikov , G. Saccomandi

The Plateau-Rayleigh instability shows that a cylindrical fluid flow can be destabilized by surface tension. Similarly, capillary forces can make an elastic cylinder unstable when the elastocapillary length is comparable to the cylinder's…

Soft Condensed Matter · Physics 2025-07-15 F. Magni , D. Riccobelli

The application of pure torsion to a long and thin cylindrical rod is known to provoke a twisting instability, evolving from an initial kink to a knot. In the torsional parallel-plate rheometry of stubby cylinders, the geometrical…

Soft Condensed Matter · Physics 2020-09-22 Pasquale Ciarletta , Michel Destrade

Surface roughness emerges naturally during mechanical removal of material, fracture, chemical deposition, plastic deformation, indentation, and other processes. Here, we use continuum simulations to show how roughness which is neither…

Soft Condensed Matter · Physics 2024-02-01 Lucas Frérot , Lars Pastewka

Interfaces between stratified epithelia and their supporting stromas commonly exhibit irregular shapes. Undulations are particularly pronounced in dysplastic tissues and typically evolve into long, finger-like protrusions in carcinomas. In…

Biological Physics · Physics 2013-06-25 Thomas Risler , Markus Basan

This work investigates the morphological stability of a soft body composed of two heavy elastic layers, attached to a rigid surface and subjected only to the bulk gravity force. Using theoretical and computational tools, we characterize the…

Soft Condensed Matter · Physics 2017-09-21 Davide Riccobelli , Pasquale Ciarletta

We propose an approach to measure surface elastic constants of soft solids. Generally, this requires one to probe interfacial mechanics at around the elastocapillary length scale, which is typically microscopic. Deformations of microscopic…

Soft Condensed Matter · Physics 2022-03-02 Stefanie Heyden , Petia M. Vlahovska , Eric R. Dufresne

The buckling of a soft elastic sample under growth or swelling has highlighted a new interest in materials science, morphogenesis, and biology or physiology. Indeed, the change of mass or volume is a common fact of any living species, and…

Soft Condensed Matter · Physics 2023-09-21 Martine Ben Amar

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…

The squeezing of soft solids, the constrained growth of biological tissues, and the swelling of soft elastic solids such as gels can generate large compressive stresses at their surfaces. This causes the otherwise smooth surface of such a…

Soft Condensed Matter · Physics 2014-07-09 Tuomas Tallinen , John S. Biggins , L. Mahadevan

Surface and interfacial energies play important roles in a number of instability phenomena in liquids and soft matters, but are rare to play a similar role in solids. Here we report a new type of mechanical instabilities that are controlled…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Cangyu Qu , Songlin Shi , Quanshui Zheng

Shells, when confined, can deform in a broad assortment of shapes and patterns, often quite dissimilar to what is produced by their flat counterparts (plates). In this work we discuss the morphological landscape of shells deposited on a…

Soft Condensed Matter · Physics 2018-06-12 Octavio Albarrán , Desislava V. Todorova , Eleni Katifori , Lucas Goehring

Spontaneous material shape changes, such as swelling, growth or thermal expansion, can be used to trigger dramatic elastic instabilities in thin shells. These instabilities originate in geometric incompatibility between the preferred…

Soft Condensed Matter · Physics 2022-04-18 Andrea Giudici , John S. Biggins

We demonstrate the instability of the free surface of a soft elastic solid facing downwards. Experiments are carried out using a gel of constant density $\rho$, shear modulus $\mu$, put in a rigid cylindrical dish of depth $h$. When turned…

Soft Condensed Matter · Physics 2014-10-29 Serge Mora , Ty Phou , Jean-Marc Fromental , Yves Pomeau

Soft solids exhibit instability and develop surface undulations due to surface effects, a phenomenon known as the elastic Plateau-Rayleigh (PR) instability, driven by the interplay of surface and bulk elasticity. Previous studies on the PR…

Soft Condensed Matter · Physics 2025-11-21 Pingping Zhu , Dun Li , Xiang Yu , Zheng Zhong

The morphology of a growing crystal surface is studied in the case of an unstable two-dimensional step flow. Competition between bunching and meandering of steps leads to a variety of patterns characterized by their respective instability…

Statistical Mechanics · Physics 2012-07-19 A. Verga

The surfaces of growing biological tissues, swelling gels, and compressed rubbers do not remain smooth, but frequently exhibit highly localized inward folds. We reveal the morphology of this surface folding in a novel experimental setup,…

Soft Condensed Matter · Physics 2017-11-15 S. Karpitschka , J. Eggers , A. Pandey , J. H. Snoeijer

A free material surface which supports surface diffusion becomes unstable when put under external non-hydrostatic stress. Since the chemical potential on a stressed surface is larger inside an indentation, small shape fluctuations develop…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ting-Shek Lo , Anna Pomyalov , Itamar Procaccia , Jacques Zylberg

The rheological properties of biological tissues are core to processes such as cancer metastasis, wound healing and embryo development. The emergence of tissue and organ structures during morphogenesis requires the precise formation of…

Soft Condensed Matter · Physics 2026-03-10 Aidan J. Nicholas , Suzanne M. Fielding
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