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The developed computational approach is capable of initiating and propagating cracks inside materials and along material interfaces of general multi-domain structures under quasi-static conditions. Special attention is paid to particular…

Computational Engineering, Finance, and Science · Computer Science 2023-08-23 Roman Vodička

Heterostructures combining diverse physico-chemical properties are increasingly in demand for a wide range of applications in modern science and technology. However, despite their importance in materials science, accurately determining…

We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be…

Condensed Matter · Physics 2009-10-22 Heiko Leschhorn

Owing to additive manufacturing techniques, a structure at millimeter length scale (macroscale) can be produced by using a lattice substructure at micrometer length scale (microscale). Such a system is called a metamaterial at the…

Computational Engineering, Finance, and Science · Computer Science 2019-11-25 H. Yang , B. E. Abali , W. H. Müller , D. Timofeev

This work introduces a novel, fully robust and highly-scalable, $h$-adaptive aggregated unfitted finite element method for large-scale interface elliptic problems. The new method is based on a recent distributed-memory implementation of the…

Numerical Analysis · Mathematics 2021-04-07 Eric Neiva , Santiago Badia

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

In this paper an asymptotic homogenization method for the analysis of composite materials with periodic microstructure in presence of thermodiffusion is described. Appropriate down-scaling relations correlating the microscopic fields to the…

Mathematical Physics · Physics 2015-12-31 A. Bacigalupo , L. Morini , A. Piccolroaz

The accurate simulation of interface-dominated solid mechanics problems on complex microstructures remains challenging, particularly when interface-fitted quadrilateral or hexahedral meshes are difficult to generate. We extend the shifted…

Numerical Analysis · Mathematics 2026-05-05 Cheng-Hau Yang , Mark C. Messner , Tianchen Hu

Our goal is to develop a design framework for multifunctional mechanical metamaterials that can tune their rigidity while optimizing other desired properties. Towards this goal, we first demonstrate that underconstrained central force…

Soft Condensed Matter · Physics 2024-07-22 Tyler Hain , Chris Santangelo , M. Lisa Manning

We consider some basic principles of fluid-induced lubrication at soft interfaces. In particular, we show how the presence of a soft substrate leads to an increase in the physical separation between surfaces sliding past each other. By…

Soft Condensed Matter · Physics 2009-11-10 J. M. Skotheim , L. Mahadevan

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

Several model fluids in contact with planar, spherical, and cylindrical walls are investigated for small number densities within density functional theory. The dependence of the solid-fluid interfacial tension on the curvature of spherical…

Statistical Mechanics · Physics 2015-05-05 Andreas Reindl , Markus Bier , S. Dietrich

In continuum thermodynamics, models of two-phase mixtures typically obey the condition of pressure equilibrium across interfaces between the phases. We propose a new non-equilibrium model beyond that condition, allowing for microinertia of…

Fluid Dynamics · Physics 2023-12-18 Ilya Peshkov , Evgeniy Romenski , Michal Pavelka

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

Mechanical metamaterials often exhibit pattern transformations through instabilities, enabling applications in, e.g., soft robotics, sound reduction, and biomedicine. These transformations and their resulting mechanical properties are…

Soft Condensed Matter · Physics 2025-09-23 Fleur Hendriks , Vlado Menkovski , Martin Doškář , Marc G. D. Geers , Kevin Verbeek , Ondřej Rokoš

Elastic interfaces display scale-invariant geometrical fluctuations at sufficiently large lengthscales. Their asymptotic static roughness then follows a power-law behavior, whose associated exponent provides a robust signature of the…

Disordered Systems and Neural Networks · Physics 2022-05-30 Nirvana Caballero , Thierry Giamarchi , Vivien Lecomte , Elisabeth Agoritsas

Soft interfaces formed by lipid membranes are fundamental to living cells, synthetic cells, and membrane-based soft materials. However, a quantitative framework linking molecular organization with nonlinear interfacial mechanics remains…

Soft Condensed Matter · Physics 2026-01-27 Kazutoshi Masuda , Miho Yanagisawa

Accurately predicting friction in sliding interfaces that contain third body wear particles is critical for engineering applications such as sliding movement in pistons, bearings, or metal forming. We present a hierarchical multiscale…

Architected metamaterials like foams and lattices exhibit complex responses governed by microstructural instabilities, localization, and phase-transition-like phenomena. Their behavior is further affected by heterogeneities inherent in…

Materials Science · Physics 2026-04-29 Sarvesh Joshi , Jingye Tan , Craig M. Hamel , Stavros Gaitanaros , Nikolaos Bouklas

The thin interface limit aims at minimizing the effects arising from a numerical interface thickness, inherent in diffuse interface models of solidification and microstructure evolution such as the phase field model. While the original…

Materials Science · Physics 2020-03-18 Amol Subhedar , Peter K. Galenko , Fathollah Varnik