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We study the relation between a threshold-force based model at the microscopic scale and mode I fracture at the macroscopic scale in a system of discrete interacting springs. Specifically, we idealize the contact between two surfaces as…

Soft Condensed Matter · Physics 2016-06-13 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

Proximal humerus impacted fractures are of clinical concern in the elderly population. Prediction of such fractures by CT-based finite element methods encounters several major obstacles such as heterogeneous mechanical properties and…

Numerical Analysis · Mathematics 2023-12-05 L. Hug , G. Dahan , S. Kollmannsberger , E. Rank , Z. Yosibash

The accurate and efficient prediction of crack propagation in dielectric materials is a critical challenge in structural health monitoring and the design of smart systems. This work presents a hybrid modeling framework that combines an…

Computational Physics · Physics 2026-02-03 Aamir Dean , Jaykumar Mavani , Betim Bahtiri , Behrouz Arash , Raimund Rolfes

In this work, we introduce a new Hybrid High-Order method for the numerical simulation of fracture propagation based on phase-field models. The proposed method supports general meshes made of polygonal/polyhedral elements, which provides…

Numerical Analysis · Mathematics 2025-11-20 Alessandra Crippa , Julien Coatléven , Daniele A. Di Pietro , Nicolas Guy , Yousef Soleiman

The study of flow in fractured porous media is a key ingredient for many geoscience applications, such as reservoir management and geothermal energy production. Modelling and simulation of these highly heterogeneous and geometrically…

Numerical Analysis · Mathematics 2022-12-28 Davide Losapio , Anna Scotti

Fractured metal fragments with rough and irregular surfaces are often found at crime scenes. Current forensic practice visually inspects the complex jagged trajectory of fractured surfaces to recognize a ``match'' using comparative…

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…

Integrated models for fluid-driven fracture propagation and general multiphase flow in porous media are valuable to the study and engineering of several systems, including hydraulic fracturing, underground disposal of waste, and geohazard…

Computational Engineering, Finance, and Science · Computer Science 2021-03-17 Guotong Ren , Rami M. Younis

Predicting the structural response of advanced multiphase alloys and understanding the underlying microscopic mechanisms that are responsible for it are two critically important roles modeling plays in alloy development. An alloys…

Capturing the dynamics of granular flows at intermediate length scales can often be difficult. We propose studying the dynamics of contact networks as a new tool to study fracture at intermediate scales. Using experimental three-dimensional…

Soft Condensed Matter · Physics 2012-08-17 Mark Herrera , Shane McCarthy , Steven Slotterback , Emmanuel Cephas , Wolfgang Losert , Michelle Girvan

Thick adhesive layers have potential structural application in ship construction for the joining of a composite superstructure to a steel hull. The purpose of this study is to develop a mechanics model for the adhesive fracture of such lap…

Materials Science · Physics 2020-12-30 Sina Askarinejad , Emilio Martínez-Pañeda , I. Ivan Cuesta , Norman A. Fleck

We study size effects in the fracture strength of notched disordered samples using numerical simulations of lattice models for fracture. In particular, we consider the random fuse model, the random spring model and the random beam model,…

Materials Science · Physics 2008-04-15 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

Electrode particle cracking is one of the main phenomena driving battery capacity degradation. Recent phase field fracture studies have investigated particle cracking behaviour. However, only the beginning of life has been considered and…

Chemical Physics · Physics 2022-06-28 W. Ai , B. Wu , E. Martínez-Pañeda

We present a novel image-based adaptive domain decomposition FEM framework to accelerate the solution of continuum damage mechanics problems. The key idea is to use image-processing techniques in order to identify the moving interface…

Computational Engineering, Finance, and Science · Computer Science 2024-11-08 Panos Pantidis , Cornelius Otchere , Mostafa E. Mobasher

The phase field method has gathered significant attention in the past decade due to its versatile applications in engineering contexts, including fatigue crack propagation modeling. Particularly, the phase field cohesive zone method…

Computational Engineering, Finance, and Science · Computer Science 2024-02-06 A. Baktheer , E. Martínez-Pañeda , F. Aldakheel

The freely jointed chain is often applied to model the thermodynamics of single polymer chains, but the traditional formulation of the model lacks internal energy changes due to bond stretching. For this reason, the extensible freely…

Statistical Mechanics · Physics 2026-05-13 Michael R. Buche

It has long been conjectured that (rapid) fracture propagation dynamics in materials and turbulent motion of fluids are two manifestations of the same physical process. The universality class of turbulence (Kolmogorov dispersion in…

Statistical Mechanics · Physics 2020-08-05 Soumyajyoti Biswas , Bikas K. Chakrabarti

Fracture produces new mesh fragments that introduce additional degrees of freedom in the system dynamics. Existing finite element method (FEM) based solutions suffer from an explosion in computational cost as the system matrix size…

Graphics · Computer Science 2024-08-19 Avirup Mandal , Parag Chaudhuri , Subhasis Chaudhuri

Analytical models have been developed for fracture propagation over the last several decades and are now considered with renewed interest; the range of their applicability varies for different materials and different loading conditions.…

Materials Science · Physics 2015-09-22 D. Misseroni , A. B. Movchan , N. V. Movchan , D. Bigoni

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini