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We study the non-equilibrium evolution of coexisting ferromagnetic domains in the two-dimensional quantum Ising model -- a setup relevant in several contexts, from quantum nucleation dynamics and false-vacuum decay scenarios to recent…

Statistical Mechanics · Physics 2022-09-22 Federico Balducci , Andrea Gambassi , Alessio Lerose , Antonello Scardicchio , Carlo Vanoni

The static and dynamic properties of a Cosserat-type lattice interface of finite thickness are studied, so that both displacements and rotational degrees of freedom are taken into account. The model allows considering interfaces with a…

Materials Science · Physics 2010-05-02 Aleksey A. Vasiliev , Andrey E. Miroshnichenko , Massimo Ruzzene

Environmentally assisted cracking phenomena are widespread across the transport, defence, energy and construction sectors. However, predicting environmentally assisted fractures is a highly cross-disciplinary endeavour that requires…

Materials Science · Physics 2021-08-03 Emilio Martínez-Pañeda

We present a complete numerical analysis for a general discretization of a coupled flow-mechanics model in fractured porous media, considering single-phase flows and including frictionless contact at matrix-fracture interfaces, as well as…

Numerical Analysis · Mathematics 2024-06-14 Francesco Bonaldi , Jérôme Droniou , Roland Masson

Geothermal energy, a promising renewable source, relies on efficiently utilizing geothermal reservoirs, especially in Enhanced Geothermal Systems (EGS), where fractures in hot rock formations enhance permeability. Understanding fracture…

Numerical Analysis · Mathematics 2025-01-13 Sanghyun Lee , Henry von Wahl , Thomas Wick

We develop a new finite element method for solving planar elasticity problems involving of heterogeneous materials with a mesh not necessarily aligning with the interface of the materials. This method is based on the `broken'…

Numerical Analysis · Mathematics 2015-06-23 Do Y. Kwak , Sangwon Jin , Dae H. Kyeong

We present a variational reduced-order model for three-dimensional coplanar propagation of sharp cracks in heterogeneous perfectly brittle solids under mixed-mode I+II+III loading. The approach connects the variational fracture formulation…

Materials Science · Physics 2026-05-14 Serafim Egorov , Antoine Sanner , Jean Sulem , Lars Pastewka , Mathias Lebihain

Disorder and long-range interactions are two of the key components that make material failure an interesting playfield for the application of statistical mechanics. The cornerstone in this respect has been lattice models of the fracture in…

Statistical Mechanics · Physics 2009-11-11 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

Robust, broadly applicable fluid-structure interaction (FSI) algorithms remain a challenge for computational mechanics. In previous work, we introduced an immersed interface method (IIM) for discrete surfaces and an extension based on an…

Computational Physics · Physics 2025-11-14 Qi Sun , Ebrahim M. Kolahdouz , Boyce E. Griffith

Modeling important engineering problems related to flow-induced damage (in the context of hydraulic fracturing among others) depends critically on characterizing the interaction of porous media and interstitial fluid flow. This work…

Numerical Analysis · Mathematics 2012-06-27 Daniel Z. Turner

A flat sheet programmed with a planar pattern of spontaneous shape change will morph into a curved surface. Such metric mechanics is seen in growing biological sheets, and may be engineered in actuating soft matter sheets such as…

Soft Condensed Matter · Physics 2022-07-01 Fan Feng , Daniel Duffy , Mark Warner , John S. Biggins

Closed-form solutions for the modified exterior Eshelby tensor, strain concentration tensor, and effective moduli of particle-reinforced composites are presented when the interfacial damage is modeled as a linear spring layer of vanishing…

Other Condensed Matter · Physics 2019-02-11 Sangryun Lee , Youngsoo Kim , Jinyeop Lee , Seunghwa Ryu

Phase field models have emerged as a powerful and flexible framework for simulating complex interface-driven phenomena across a wide range of scientific and engineering applications. In fracture mechanics, the phase field…

Numerical Analysis · Mathematics 2025-06-23 Md Mamun Miah , Ryuhei Wakida , Masato Kimura

Protein fibril accumulation at interfaces is an important step in many physiological processes and neurodegenerative diseases as well as in designing materials. Here we show, using $\beta$-lactoglobulin fibrils as a model, that semiflexible…

Biomolecules · Quantitative Biology 2015-05-20 Sophia Jordens , Emily E. Riley , Ivan Usov , Lucio Isa , Peter D. Olmsted , Raffaele Mezzenga

This work presents a new adaptive approach for the numerical simulation of a phase-field model for fractures in nearly incompressible solids. In order to cope with locking effects, we use a recently proposed mixed form where we have a…

Numerical Analysis · Mathematics 2021-06-18 Katrin Mang , Mirjam Walloth , Thomas Wick , Winnifried Wollner

The Plateau-Rayleigh instability causes the fragmentation of a liquid ligament into smaller droplets. In this study a numerical study of this phenomenon based on a single relaxation time (SRT) pseudo-potential lattice Boltzmann method (LBM)…

Computational Physics · Physics 2019-04-29 Daniele Chiappini , Xiao Xue , Giacomo Falcucci , Mauro Sbragaglia

Typical reconfigurable intelligent surface (RIS) implementations include metasurfaces with almost passive unit elements capable of reflecting their incident waves in controllable ways, enhancing wireless communications in a cost-effective…

Signal Processing · Electrical Eng. & Systems 2025-03-17 Songjie Yang , Zihang Wan , Boyu Ning , Weidong Mei , Jiancheng An , Yonina C. Eldar , Chau Yuen

The mechanical properties of heterophase interfaces are critically important for the behaviour of graphene-reinforced composites. In this work, the structure, adhesion, cleavage and sliding of heterophase interfaces, formed between a…

Materials Science · Physics 2019-07-31 Yanhui Zhang , Stefano Sanvito

This work proposes an investigation on the scaling of the structural strength of polymer/graphene nanocomposites. To this end, fracture tests on geometrically scaled Single Edge Notch Bending (SENB) specimens with varying contents of…

Materials Science · Physics 2018-10-10 Cory Hage Mefford , Yao Qiao , Marco Salviato

Impact simulations for damage resistance analysis are computationally intensive due to contact algorithms and advanced damage models. Both methods, which are the main ingredients in an impact event, require refined meshes at the contact…

Computational Engineering, Finance, and Science · Computer Science 2023-01-18 G. Guillamet , A. Quintanas-Corominas , M. Rivero , G. Houzeuax , M. Vázquez , A. Turon