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We consider a model for the evolution of an interface in a heterogeneous environment governed by a parabolic equation. The heterogeneity is introduced as obstacles exerting a localized dry friction. Our main result establishes the emergence…

Analysis of PDEs · Mathematics 2019-09-12 Luca Courte , Patrick Dondl , Ulisse Stefanelli

The main result of this work is a homogenization theorem via variational convergence for elastic materials with stiff checkerboard-type heterogeneities under the assumptions of physical growth and non-self-interpenetration. While the…

Analysis of PDEs · Mathematics 2023-03-29 Wolf-Patrick Düll , Dominik Engl , Carolin Kreisbeck

A new approach to defining the effective fracture toughness for heterogeneous materials is proposed. This temporal averaging approach is process-dependent, incorporating the crack velocity and material toughness. The effectiveness of the…

Geophysics · Physics 2022-07-14 Gaspare Da Fies , Daniel Peck , Martin Dutko , Gennady Mishuris

We provide a theoretical framework to analyze the properties of frontal collisions of two growing interfaces considering different short range interactions between them. Due to their roughness, the collision events spread in time and form…

Statistical Mechanics · Physics 2019-02-05 Fabio D. A. Aarao Reis , Olivier Pierre-Louis

This work outlines a diffuse interface method for the study of fracture and fragmentation in ductile metals at high strain-rates in Eulerian finite volume simulations. The work is based on an existing diffuse interface method capable of…

Computational Physics · Physics 2022-10-11 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

The elastic coupling between plastic events is generally invoked to interpret plastic properties and failure of amorphous soft glassy materials. We report an experiment where the emergence of a self-organized plastic flow is observed well…

Soft Condensed Matter · Physics 2014-05-21 Le Bouil Antoine , Amon Axelle , McNamara Sean , Crassous Jérôme

Investigation of inhomogeneities has wide applications in different areas of mechanics including the study of composite materials. Here, we analytically study an arbitrarily-shaped isotropic inhomogeneity embedded in a finite-sized…

Soft Condensed Matter · Physics 2018-11-20 Ehsan Ban

Interfaces such as grain boundaries in polycrystalline as well as heterointerfaces in multiphase solids are ubiquitous in materials science and engineering. Far from being featureless dividing surfaces between neighboring crystals,…

Materials Science · Physics 2024-01-23 Aurélien Vattré

The interface plays a critical role in the mechanical properties of composites. In the present work, a novel phase-field based cohesive zone model (CZM) is proposed for the cracking simulation. The competition and interaction between the…

Materials Science · Physics 2021-02-23 Peiliang Bian , Hai Qing

This study evaluates four widely used fracture simulation methods, comparing their computational expenses and implementation complexities within the Finite Element (FE) framework when employed on heterogeneous solids. Fracture methods…

Computational Engineering, Finance, and Science · Computer Science 2024-11-19 Rasoul Najafi Koopas , Shahed Rezaei , Natalie Rauter , Richard Ostwald , Rolf Lammering

Wear is well known for causing material loss in a sliding interface. Available macroscopic approaches are bound to empirical fitting parameters, which range several orders of magnitude. Major advances in tribology have recently been…

Computational Engineering, Finance, and Science · Computer Science 2020-09-18 Sylvain Collet , Jean-François Molinari , Stella Brach

We investigate fracture toughness of architected interfaces and their ability to maintain structural integrity and provide stable damage propagation conditions beyond the failure load. We propose theoretical and numerical frameworks to…

Applied Physics · Physics 2024-02-27 Michelle L. S. Hedvard , Marcelo A. Dias , Michal K. Budzik

Cohesive zone models do not consider the lateral contraction of adhesive layers under tensile loads. The constraint of the lateral contraction by the adherents which depends on the geometry of the adhesive layer has a major influence on the…

Materials Science · Physics 2015-11-09 Olaf Hesebeck

Roughness of driven elastic interfaces in random media is typically understood to be characterized by a single roughness exponent $\zeta$. We show that at the depinning threshold, due to symmetry breaking caused by the direction of the…

Statistical Mechanics · Physics 2022-10-20 Esko Toivonen , Matti Molkkari , Esa Räsänen , Lasse Laurson

We present results of electronic structure and transport calculations for metallic interfaces, based on density functional theory and the non-equilibrium Green's functions method. Starting from the electronic structure of smooth Al, Cu, Ag,…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. M. Fadlallah , C. Schuster , U. Schwingenschloegl , T. Wunderlich , S. Sanvito

One of the major shortcomings of discrete element modelling (DEM) is the computational cost required when the number of particles is huge, especially for fine powders and/or industry scale simulations. This study investigates the scaling of…

Soft Condensed Matter · Physics 2015-06-04 Subhash C. Thakur , Jin Y. Ooi , Hossein Ahmadian

Adhesion control at the interface of two surfaces is crucial in various applications, including the design of micro- and nanodevices such as microfluidic devices, triboelectric nanogenerators, biochips, and electronic sensors. Several…

Soft Condensed Matter · Physics 2025-07-15 Susheel Kumar , Krishnacharya Khare , Manjesh K. Singh

The mechanical properties of a disordered heterogeneous medium depend, in general, on a complex interplay between multiple length scales. Connecting local interactions to macroscopic observables, such as stiffness or fracture, is thus…

Soft Condensed Matter · Physics 2021-06-17 Arnaud Hemmerle , Yuta Yamaguchi , Marcin Makowski , Oliver Bäumchen , Lucas Goehring

A micromorphic computational homogenization framework has recently been developed to deal with materials showing long-range correlated interactions, i.e. displaying patterning modes. Typical examples of such materials are elastomeric…

Soft Condensed Matter · Physics 2024-06-21 S. Maraghechi , O. Rokoš , R. H. J. Peerlings , M. G. D. Geers , J. P. M. Hoefnagels

The scaling properties of one-dimensional deconstructed surfaces are studied by numerical simulations of a disaggregation model. The model presented here for the disaggregation process takes into account the possibility of having quenched…

Statistical Mechanics · Physics 2007-05-23 Juan R. Sanchez