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The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

Mathematical Physics · Physics 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

Within the tumor microenvironment (TME), cancer cells use mechanotransduction pathways to convert biophysical forces to biochemical signals. However, the underlying mechanisms and functional significance of these pathways remain largely…

The aim of this work is to study the dynamics and stability of soft shape-morphing configurations and specifically the modes of interaction between the front and rear airfoil segments. Initially we present several steady-state solutions,…

Fluid Dynamics · Physics 2018-05-08 Netanel Hassan , Shai B. Elbaz , Amir D. Gat

Recent experiments of imbibition in columnar geometries show interfacial fluctuations whose dynamic scaling is not compatible with the usual non local model governed by surface tension that results from a macroscopic description. To explore…

Statistical Mechanics · Physics 2009-11-13 M. Pradas , A. Hernández-Machado , M. A. Rodríguez

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

The use of continuum phase-field models to describe the motion of well-defined interfaces is discussed for a class of phenomena, that includes order/disorder transitions, spinodal decomposition and Ostwald ripening, dendritic growth, and…

Soft Condensed Matter · Physics 2009-10-31 K. R. Elder , Martin Grant , Nikolas Provatas , J. M. Kosterlitz

Tissue self-organization into defined and well-controlled three-dimensional structures is essential during development for the generation of organs. A similar, but highly deranged process might also occur during the aberrant growth of…

Cell Behavior · Quantitative Biology 2019-05-21 Abramo Agosti , Stefano Marchesi , Giorgio Scita , Pasquale Ciarletta

The finite solid-liquid interface width in phase field models results in non-equilibrium effects, including solute trapping. Prior phase field modeling has shown that this extra degree of freedom, when compared to sharp-interface models,…

Materials Science · Physics 2023-04-07 Arnab Mukherjee , James A. Warren , Peter W. Voorhees

Recent advances in topological mechanics have revealed unusual phenomena such as topologically protected floppy modes and states of self-stress that are exponentially localized at boundaries and interfaces of mechanical networks. In this…

Soft Condensed Matter · Physics 2021-05-03 Harry Liu , Di Zhou , Leyou Zhang , David K. Lubensky , Xiaoming Mao

Two-fluid interfaces in porous media, an example of driven disordered systems, were studied by a real time three-dimensional imaging technique with pore scale resolution for a less viscous fluid displacing a more viscous one. With…

Soft Condensed Matter · Physics 2011-03-23 Prerna Sharma , P. Aswathi , Anit Sane , Shankar Ghosh , S. Bhattacharya

We revisit here the stability of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. Unlike previous work, the turbulent base state velocity profile proposed here requires only a…

Fluid Dynamics · Physics 2016-11-26 Lennon Ó Náraigh , Peter Spelt , Omar Matar , Tamer Zaki

The complex physics of self-assembly in colloidal crystals on deformable interfaces and surfaces poses interesting possibilities for the designability and synthesis of next-generation metamaterials. The goal of this article is to…

Soft Condensed Matter · Physics 2025-06-23 Sanjay Dharmavaram , Basant Lal Sharma

We investigate the dynamics of a nonlinear model for tumor growth within a cellular medium. In this setting the "tumor" is viewed as a multiphase flow consisting of cancerous cells in either proliferating phase or quiescent phase and a…

Analysis of PDEs · Mathematics 2015-03-31 Donatella Donatelli , Konstantina Trivisa

Embryonic tissues deform across broad spatial and temporal scales and relax stress through active rearrangements. A quantitative link between cell-scale activity, spatial forcing, and emergent tissue-scale mechanics remains incomplete.…

Biological Physics · Physics 2025-12-18 Sahil Islam , Mohd. Suhail Rizvi , Anupam Gupta

From the mitotic spindle up to tissues and biofilms, many biological systems behave as active droplets, which often break symmetry and change shape spontaneously. Here, I show that active nematic droplets can experience a fingering…

Soft Condensed Matter · Physics 2022-06-07 Ricard Alert

Depending on the physical conditions involved the beam plasma systems may reveal new unstable regimes triggered by the wave instabilities of different nature. We show through linear theory and numerical simulations the existence of an…

Plasma Physics · Physics 2020-10-05 R. A. López , M. Lazar , S. M. Shaaban , S. Poedts , P. S. Moya

We study the invasion of an unstable state by a propagating front in a peculiar but generic situation where the invasion process exhibits a remnant instability. Here, remnant instability refers to the fact that the spatially constant…

Analysis of PDEs · Mathematics 2020-09-07 Gregory Faye , Matt Holzer , Arnd Scheel , Lars Siemer

Controlling interfaces of phase separating fluid mixtures is key to creating diverse functional soft materials. Traditionally, this is accomplished with surface-modifying chemical agents. Using experiment and theory, we study how mechanical…

Soft Condensed Matter · Physics 2022-08-15 Raymond Adkins , Itamar Kolvin , Zhihong You , Sven Witthaus , M. Cristina Marchetti , Zvonimir Dogic

To deal with permanent deformations and residual stresses, we consider a morphoelastic model for the scar formation as the result of wound healing after a skin trauma. Next to the mechanical components such as strain and displacements, the…

Numerical Analysis · Mathematics 2022-03-17 Ginger Egberts , Fred Vermolen , Paul van Zuijlen

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…