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We study contact line induced instabilities for a thin film of fluid under destabilizing gravitational force in three dimensional setting. In the previous work (Phys. Fluids, {\bf 22}, 052105 (2010)), we considered two dimensional flow,…

Fluid Dynamics · Physics 2015-03-19 T. -S. Lin , L. Kondic , A. Filippov

We study the peculiar wrinkling pattern of an elastic plate stamped into a spherical mold. We show that the wavelength of the wrinkles decreases with their amplitude, but reaches a maximum when the amplitude is of the order of the thickness…

Soft Condensed Matter · Physics 2015-06-05 J. Hure , B. Roman , J. Bico

Adhesive peeling of a thin elastic film from a substrate is a classic problem in mechanics. However, many of the investigations on this topic to date have focused on peeling from substrates with flat surfaces. In this paper, we study the…

Applied Physics · Physics 2021-02-03 Weilin Deng , Haneesh Kesari

Understanding the mechanical instabilities of two-dimensional membranes has strong connection to the subjects of structure instabilities, morphology control and materials failures. In this work, we investigate the plastic mechanism…

Soft Condensed Matter · Physics 2024-04-30 Honghui Sun , Zhenwei Yao

The processing of thin-structured materials in a fluidic environment, from nearly inextensible but flexible graphene sheets to highly extensible polymer films, arises in many applications. So far, little is known about the dynamics of such…

Soft Condensed Matter · Physics 2022-02-15 Yijiang Yu , Michael D. Graham

A thin circular elastic sheet floating on a drop-like liquid substrate is deformed due to incompatibility between the curved substrate and the planar sheet. We adopt a variational viewpoint by minimizing the non-convex membrane energy…

Analysis of PDEs · Mathematics 2026-02-19 Peter Bella , Carlos Román

We consider thin fluid films placed on thermally conductive substrates and exposed to time-dependent spatially uniform heat source. The evolution of the films is considered within the long-wave framework in the regime such that both…

Soft Condensed Matter · Physics 2016-06-16 Nanyi Dong , Lou Kondic

Motivated by the redrawing of hot glass into thin sheets, we investigate the shape and stability of a thin viscous sheet that is inhomogeneously stretched in an imposed non-uniform temperature field. We first determine the associated base…

Fluid Dynamics · Physics 2017-07-28 Siddarth Srinivasan , Zhiyan Wei , L. Mahadevan

Nanoscale polymeric thin films are widely used in diverse applications such as energy devices, flexible electronics and biosensors, where a satisfactory mechanical performance is of vital importance to realize their full functionality. It…

Soft Condensed Matter · Physics 2022-06-29 Zhengyang Zhang , Pei Bai , Yuhan Xiao , Yunlong Guo , Yanming Wang

We theoretically study the Plateau-Rayleigh instability of a thin viscous film covering a fiber consisting of a rigid cylindrical core coated with a thin compressible elastic layer. We develop a soft-lubrication model, combining the…

Soft Condensed Matter · Physics 2023-12-20 Bharti Bharti , Andreas Carlson , Tak Shing Chan , Thomas Salez

The stability of thin liquid films on a surface depends on the excess free energy of the system involving various short-range and long-range interactions. In an unstable condition, thin liquid films may dewet into multiple small-sized…

Soft Condensed Matter · Physics 2022-03-24 Bidisha Bhatt , Shivam Gupta , Vasudevan Sumathi , Sivasurender Chandran , Krishnacharya Khare

Stability of thin liquid films on a surface can be controlled using an external stimuli, such as electric field, temperature or light by manipulating the total excess free energy of the system. It has been previously shown that thin…

Soft Condensed Matter · Physics 2023-05-15 Bidisha Bhatt , Soumik Mukhopadhyay , Krishnacharya Khare

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

Pattern Formation and Solitons · Physics 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

We present a continuum model describing dissolution and growth of a crystal contact confined against a substrate. Diffusion and hydrodynamics in the liquid film separating the crystal and the substrate are modeled within the lubrication…

Soft Condensed Matter · Physics 2018-01-31 Luca Gagliardi , Olivier Pierre-Louis

We report simulation results on melts of entangled linear polymers confined in a free-standing thin film. We study how the geometric constraints imposed by the confinement alter the entanglement state of the system compared to the…

Soft Condensed Matter · Physics 2019-03-06 Nicolás A. García , Jean-Louis Barrat

We study the indentation of ultrathin elastic sheets clamped to the edge of a circular hole. This classical setup has received considerable attention lately, being used by various experimental groups as a probe to measure the surface…

Soft Condensed Matter · Physics 2017-03-16 Dominic Vella , Benny Davidovitch

The invasion of one fluid into another of higher viscosity in a quasi-two dimensional geometry typically produces complex fingering patterns. Because interfacial tension suppresses short-wavelength fluctuations, its elimination by using…

Fluid Dynamics · Physics 2015-06-23 Irmgard Bischofberger , Radha Ramachandran , Sidney R. Nagel

The debonding criterion of fibrils of soft adhesive materials is a key element regarding the quantitative modelisation of pressure sensitive adhesive tapes peeling energy. We present in this article an experimental study of the detachment…

Soft Condensed Matter · Physics 2022-08-24 Aymeric Duigou-Majumdar , Pierre-Philippe Cortet , Christophe Poulard

The stability of nonvolatile thin liquid films and of sessile droplets is strongly affected by finite size effects. We analyze their stability within the framework of density functional theory using the sharp kink approximation, i.e., on…

Soft Condensed Matter · Physics 2015-06-15 Fabian Dörfler , Markus Rauscher , S. Dietrich

We study the deformation and dewetting of liquid films under impinging gas jets using experimental, analytical and numerical techniques. We first derive a reduced-order model (a thin-film equation) based on the long-wave assumption and on…

Fluid Dynamics · Physics 2020-12-02 C. J. Ojiako , R. Cimpeanu , H. Bandulasena , R. Smith , D. Tseluiko