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I study numerically the problem of delamination of a thin film elastically attached to a rigid substrate. A nominally flat elastic thin film is modeled using a two-dimensional triangular mesh. Both compression and bending rigidities are…

材料科学 · 物理学 2009-11-11 E. A. Jagla

When a thin film moderately adherent to a substrate is subjected to residual stress, the cooperation between fracture and delamination leads to unusual fracture patterns, such as spirals, alleys of crescents and various types of strips, all…

软凝聚态物质 · 物理学 2015-09-22 Joel Marthelot , Jose Bico , Francisco Melo , Benoit Roman

A study of crack patterns in laponite films of different thickness is presented. Two cracking regimes are observed. The earlier with a higher rate of desiccation and shrinking has predominantly four-fold vertices in the crack network, while…

软凝聚态物质 · 物理学 2016-08-31 Dibyendu Mal , Suparna Sinha , Tapati Dutta , S. Mitra , Sujata Tarafdar

Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of {\Gamma}-convergence techniques. As magnetization vectors are defined on the elastically deformed configuration, our model…

偏微分方程分析 · 数学 2020-08-26 Elisa Davoli , Martin Kružík , Paolo Piovano , Ulisse Stefanelli

Straight cracks are observed in thin coatings under residual tensile stress, resulting into the classical network pattern observed in china crockery, old paintings or dry mud. Here, we present a novel fracture mechanism where delamination…

软凝聚态物质 · 物理学 2014-08-22 Joel Marthelot , Benoit Roman , Jose Bico , Jeremie Teisseire , Davy Dalmas , Francisco Melo

When a flexible plate is peeled off a thin and soft elastic film bonded to a rigid support, uniformly spaced fingering patterns develop along their line of contact. While, the wavelength of these patterns depends only on the thickness of…

软凝聚态物质 · 物理学 2007-05-23 Animangsu Ghatak , Manoj K. Chaudhury

Based on experiments and 3-D simulations, we show that a soft elastic film during adhesion and debonding from a rigid flat surface undergoes morphological transitions to pillars, labyrinths and cavities, all of which have the same lateral…

软凝聚态物质 · 物理学 2009-11-11 Manoj Gonuguntla , Ashutosh Sharma , Jayati Sarkar , Subash A. Subramanian , Moniraj Ghosh , Vijay Shenoy

We investigate by numerical simulation the system size dependence of the shear delamination strength of thin elastic films. The films are connected to a rigid substrate by a disordered interface containing a pre-existing crack. The size…

材料科学 · 物理学 2015-05-20 Michael Zaiser

Compression-induced buckling instability of metal thin films on a compliant base result in surface wrinkles. A stiff thin film, perfectly bonded to an infinitely deep pre-stretched dielectric elastomer (DE) substrate, is considered. Linear…

计算物理 · 物理学 2021-08-24 Abhishek Ghosh

We consider a model of a thin film elastically attached to a rigid substrate. In the case in which the film expands relative to the substrate and assuming certain non-linear elastic behavior of the film, expansion ridges may appear, in…

统计力学 · 物理学 2009-11-11 E. A. Jagla

In this paper we analyze a system for brittle delamination between two visco-elastic bodies, also subject to inertia, which can be interpreted as a model for dynamic fracture. The rate-independent flow rule for the delamination parameter is…

偏微分方程分析 · 数学 2016-06-01 Riccarda Rossi , Marita Thomas

The instability, dynamics and morphological transitions of patterns in thin liquid films on periodic striped surfaces (consisting of alternating less and more wettable stripes) are investigated based on 3-D nonlinear simulations that…

软凝聚态物质 · 物理学 2009-11-07 K. Kargupta , A. Sharma

A variational model for epitaxially strained films accounting for the presence of dislocations is considered. Existence, regularity and some qualitative properties of solutions are addressed.

数学物理 · 物理学 2016-05-27 Irene Fonseca , Nicola Fusco , Giovanni Leoni , Massimiliano Morini

Thin liquid films exhibit rich instability and rupture dynamics that critically impact coating performance across many applications. In this work, we use the lattice Boltzmann method (LBM) simulations within a lubrication-theory framework…

材料科学 · 物理学 2026-05-01 Karim Gadelrab , Stefan Reimann-Zitz

For a comprehensive characterization of mechanical reliability of metallization layers on polymer substrates both electrical and mechanical degradation should be taken into account. Although it is evident that cracking of a conductive film…

材料科学 · 物理学 2019-04-08 Oleksandr Glushko , Philipp Kraker , M. J. Cordill

The adhesion of a stiff film onto a curved substrate often generates elastic stresses in the film that eventually give rise to its delamination. Here we predict that delamination of very thin films can be dramatically suppressed through…

软凝聚态物质 · 物理学 2015-06-23 Evan Hohlfeld , Benny Davidovitch

A confined incompressible elastic film does not deform uniformly when subjected to adhesive interfacial stresses but with undulations which have a characteristic wavelength scaling linearly with the thickness of the film. In the classical…

软凝聚态物质 · 物理学 2009-11-11 Animangsu Ghatak

The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic material is considered. The leading-order asymptotic models (for…

偏微分方程分析 · 数学 2015-04-28 Ivan Argatov , Gennady Mishuris

We perform via $\Gamma$-convergence a 2d-1d dimension reduction analysis of a single-slip elastoplastic body in large deformations. Rigid plastic and elastoplastic regimes are considered. In particular, we show that limit deformations can…

偏微分方程分析 · 数学 2023-09-13 Dominik Engl , Stefan Krömer , Martin Kružík

Michael Ortiz and Gustavo Gioia showed in the 90s that the complex patterns arising in compressed elastic films can be analyzed within the context of the calculus of variations. Their initial work focused on films partially debonded from…

偏微分方程分析 · 数学 2015-12-22 David Bourne , Sergio Conti , Stefan Müller
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