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During epitaxial crystal growth a pattern that has initially been imprinted on a surface approximately reproduces itself after the deposition of an integer number of monolayers. Computer simulations of the one-dimensional case show that the…

Statistical Mechanics · Physics 2009-10-30 Harald Kallabis , Dietrich E. Wolf

We have recently developed some simple continuum models of static granular media which display "fragile" behaviour: they predict that the medium is unable to support certain types of infinitesimal load (which we call "incompatible" loads)…

Materials Science · Physics 2009-10-31 M. E. Cates , J. P. Wittmer , J. -P. Bouchaud , P. Claudin

Growth-induced instabilities are ubiquitous in biological systems and lead to diverse morphologies in the form of wrinkling, folding, and creasing. The current work focusses on the mechanics behind growth-induced wrinkling instabilities in…

Pattern Formation and Solitons · Physics 2022-06-28 Sumit Mehta , Gangadharan Raju , Prashant Saxena

Heterogeneous growth plays an important role in the shape and pattern formation of thin elastic structures ranging from the petals of blooming lilies to the cell walls of growing bacteria. Here we address the stability and regulation of…

Soft Condensed Matter · Physics 2018-06-05 Salem Al Mosleh , Ajay Gopinathan , Christian Santangelo

We present a model for mechanically-induced pattern formation in growing biological tissues and discuss its application to the development of leaf venation networks. Drawing an analogy with phase transitions in solids, we use a phase field…

Soft Condensed Matter · Physics 2010-10-29 F. Corson , H. Henry , M. Adda-Bedia

Extreme deformation of soft matter is central to our understanding of the effects of shock, fracture, and phase change in a variety of systems. Yet, despite, the increasing interest in this area, far-from-equilibrium behaviours of soft…

Soft Condensed Matter · Physics 2020-07-07 Axel Huerre , Marco De Corato , Valeria Garbin

Biological systems excel at building spatial structures on scales ranging from nanometers to kilometers and exhibit temporal patterning from milliseconds to years. One approach that nature has taken to accomplish this relies on the…

Cell Behavior · Quantitative Biology 2009-11-10 Herbert Levine , Eshel Ben-Jacob

The plastic flow of a foam results from bubble rearrangements. We study their occurrence in experiments where a foam is forced to flow in 2D: around an obstacle; through a narrow hole; or sheared between rotating disks. We describe their…

Soft Condensed Matter · Physics 2008-01-08 Philippe Marmottant , Christophe Raufaste , François Graner

Vascular and non-vascular cells often form an interconnected network in vitro, similar to the early vascular bed of warm blooded embryos. Our time-lapse recordings show that the network forms by extending sprouts, i.e., multicellular linear…

Cell Behavior · Quantitative Biology 2009-11-13 Andras Szabo , Erica D. Perryn , Andras Czirok

Experimentally measuring the elastic properties of thin biological surfaces is non-trivial, particularly when they are curved. One technique that may be used is the indentation of a thin sheet of material by a rigid indenter, whilst…

The process of self-morphing in curved surfaces found in nature, such as with the growth of flowers and leaves, has generated interest in the study of self-morphing bilayers, which has been used in many soft robots or switchers. However,…

Numerical Analysis · Mathematics 2023-09-19 Junjie Song , Yixiong Feng , Zhaoxi Hong , Bingtao Hu , Jianrong Tan , Xiuju Song

Disordered materials are often out of equilibrium and evolve very slowly. This allows a memory of the imposed strains or preparation conditions to be encoded in the material. Here we consider "directed aging", where the elastic properties…

Soft Condensed Matter · Physics 2020-05-14 Nidhi Pashine , Daniel Hexner , Andrea J. Liu , Sidney R. Nagel

Widespread processes in nature and technology are governed by the dynamical transition whereby a material in an initially solid-like state then yields plastically. Major unresolved questions concern whether any material will yield smoothly…

Statistical Mechanics · Physics 2022-11-23 Joseph Pollard , Suzanne M Fielding

In biological systems, the growth of cells, tissues, and organs is influenced by mechanical cues. Locally, cell growth leads to a mechanically heterogeneous environment as cells pull and push their neighbors in a cell network. Despite this…

Biological Physics · Physics 2021-03-17 Alexander Erlich , Gareth W. Jones , Françoise Tisseur , Derek E. Moulton , Alain Goriely

Mechanical stress within biological tissue can indicate an anomaly, or can be vital of its function, such as stresses in arteries. Measuring these stresses in tissue is challenging due to the complex, and often unknown, nature of the…

Soft Condensed Matter · Physics 2024-02-27 Harold Berjamin , Artur L. Gower

Remodelling of biological tissue, due to changes in microstructure, is treated in the continuum mechanical setting. Microstructural change is expressed as an evolution of the reference configuration. This evolution is expressed as a…

Quantitative Methods · Quantitative Biology 2007-05-23 K. Garikipati , H. Narayanan , E. M. Arruda , K. Grosh , S. Calve

Aneurysms are localized bulges of arteries, and they can rupture with fatal consequences. Complex mechanobiological factors preclude in vivo testing to assess the rupture risk of an aneurysm, and size based criteria are often used in…

Medical Physics · Physics 2021-08-26 Masoud Hejazi , A. Srikantha Phani

This study presents the spreading of a single filament of a yield stress (viscoplastic) fluid extruded onto a pre-wetted solid surface. The filaments spread laterally under surface tension forces until they reach a final equilibrium shape…

Fluid Dynamics · Physics 2022-12-29 Jesse van der Klok , Daniël Tieman , Maziyar Jalaal

When a ribbon or tube is twisted far enough it forms buckles and wrinkles. Its new geometry can be strikingly ordered, or hopelessly disordered. Here we study this process in a tube with hybrid boundary conditions: one end a cylinder, and…

Soft Condensed Matter · Physics 2025-11-27 Pan Dong , Nathan C. Keim , Joseph D. Paulsen

Compression stiffening, or an increase in shear modulus with increasing compressive strain, has been observed in recent rheometry experiments on brain, liver, and fat tissues. Here, we extend the known types of biomaterials exhibiting this…

Soft Condensed Matter · Physics 2019-06-05 T. A. Engstrom , K. Pogoda , K. Cruz , P. A. Janmey , J. M. Schwarz