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We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models…

Cellular Automata and Lattice Gases · Physics 2025-01-09 Pascal R. Buenzli , Shahak Kuba , Ryan J. Murphy , Matthew J. Simpson

Many compliant shell mechanisms are periodically corrugated or creased. Being thin, their preferred deformation modes are inextensional, i.e., isometric. Here, we report on a recent characterization of the isometric deformations of periodic…

Differential Geometry · Mathematics 2025-11-04 Hussein Nassar , Andrew Weber

The phenomenon of arrest of an unstably-growing crack due to a curved weak interface is investigated. The weak interface can produce the deviation of the crack path, trapping the crack at the interface, leading to stable crack growth for…

Materials Science · Physics 2020-09-15 M. T. Aranda , I. G. Garcia , J. Reinoso , V. Mantic , M. Paggi

This work outlines a new multi-physics-compatible immersed rigid body method for Eulerian finite-volume simulations. To achieve this, rigid bodies are represented as a diffuse scalar field and an interface seeding method is employed to…

Computational Physics · Physics 2022-03-15 Tim Wallis , Philip Barton , Nikolaos Nikiforakis

We consider the reliable implementation of high-order unfitted finite element methods on Cartesian meshes with hanging nodes for elliptic interface problems. We construct a reliable algorithm to merge small interface elements with their…

Numerical Analysis · Mathematics 2023-08-16 Zhiming Chen , Yong Liu

Liquid Crystalline Elastomers (LCEs) are active materials that are of interest due to their programmable response to various external stimuli such as light and heat. When exposed to these stimuli, the anisotropy in the response of the…

Soft Condensed Matter · Physics 2023-10-24 Kevin LoGrande , M. Ravi Shankar , Kaushik Dayal

The contact angle between a gas-liquid interface and a solid surface is a function of the dynamic conditions of the contact line. Classic steady correlations link the contact angle to the contact line velocity. However, it is not clear…

It is known that beyond a critical speed, the straight contact line of a partially-wetting liquid destabilizes into a corner. In one of the earliest theoretical works exploring this phenomenon, [L. Limat and H. A. Stone, Europhys. Lett.…

Fluid Dynamics · Physics 2024-08-12 Akhil Varma

Collective cell motions underlie structure formation during embryonic development. Tissues exhibit emergent multicellular characteristics such as jamming, rigidity transitions, and glassy dynamics, but there remain questions about how those…

Biological Physics · Physics 2023-12-13 Evan Thomas , Sevan Hopyan

Soft interfaces can mediate interactions between particles bound to them. The force transmitted through the surface geometry on a particle may be expressed as a closed line integral of the surface stress tensor around that particle. This…

Soft Condensed Matter · Physics 2007-05-23 Martin Michael Mueller , Markus Deserno , Jemal Guven

We report an unexpected mechanism by which an epitaxial interface can form between materials having strongly mismatched lattice constants. A simple model is proposed in which one material tilts out of the interface plane to create a…

Materials Science · Physics 2012-08-10 Steven C. Erwin , Cunxu Gao , Claudia Roder , Jonas Lähnemann , Oliver Brandt

Smart surfaces that reversibly change the interfacial friction coefficients in response to external stimuli enable a wide range of applications, such as grips, seals, brake pads, packaging films, and fabrics. Here a new concept of such a…

Applied Physics · Physics 2020-05-12 Takuya Ohzono , Mohand O. Saed , Youfeng Yue , Yasuo Norikane , Eugene M. Terentjev

Molecular dynamics simulations of a short-chain polymer melt between two brush-covered surfaces under shear have been performed. The end-grafted polymers which constitute the brush have the same chemical properties as the free chains in the…

Soft Condensed Matter · Physics 2016-08-31 Claudio Pastorino , Torsten Kreer , Marcus Mueller , Kurt Binder

Intermolecular forces are known to precipitate adhesion events between solid bodies. Inspired by a macro-scale experiment showing the hysteretic adhesion of a piece of flexible tape over a plastic substrate, we develop here a model of…

Soft Condensed Matter · Physics 2009-07-05 Arthur A. Evans , Eric Lauga

This study has numerically investigated the effect of surface wettability on two-phase immiscible flow and dynamics of droplet pinch-off in a T-junction microchannel using finite element method. A conservative level set method (CLSM) has…

Fluid Dynamics · Physics 2022-12-01 Akepogu Venkateshwarlu , Ram Prakash Bharti

We consider the case of a deformable material interface between two immiscible moving media, both of them being magnetiable. The time dependence of the metric at the interface introduces a non linear term, proportional to the mean…

Fluid Dynamics · Physics 2015-05-14 Q. Vanhaelen , M. Hennenberg , S. Slavtchev , B. Weyssow

An attractive technique for forming and collecting aggregates of magnetic material at a liquid--air interface by an applied magnetic field gradient was recently addressed theoretically and experimentally [Soft Matter, (9) 2013, 8600-8608]:…

Fluid Dynamics · Physics 2015-01-07 Shahriar Afkhami , Linda J. Cummings , Ian M. Griffiths

Bending the edge of a thin elastic material promotes rigidity far from its clamped boundary. However, this curvature-induced rigidity can be overwhelmed by gravity or other external loading, resulting in elastic buckling and large…

Soft Condensed Matter · Physics 2025-04-16 Hanzhang Mao , Thomas G. J. Chandler , Mark Han , Saverio E. Spagnolie

Triangular lattice models for pattern formation by hard-core soft-shell particles at interfaces are introduced and studied in order to determine the effect of the shell thickness and structure. In model I, we consider particles with…

Soft Condensed Matter · Physics 2020-08-26 V. S. Grishina , V. S. Vikhrenko , A. Ciach

The design of desired behaviors in mechanical metamaterials has produced remarkable advances but has generally neglected two aspects - the inevitable presence of undesired behaviors and the role of dynamics in avoiding such behaviors.…

Soft Condensed Matter · Physics 2019-10-22 Menachem Stern , Viraaj Jayaram , Arvind Murugan
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