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Despite its critical role in the study of earthquake processes, numerical simulation of the entire stages of fault rupture remains a formidable task. The main challenges in simulating a fault rupture process include complex evolution of…

地球物理 · 物理学 2023-08-22 Fan Fei , Md Shumon Mia , Ahmed E. Elbanna , Jinhyun Choo

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,…

材料科学 · 物理学 2008-04-15 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

This study addresses ductile fracture of single grains in metals by modeling of the formation and propagation of transgranular cracks. A proposed model integrates gradient extended hardening, phase-field modeling for fracture, and crystal…

数值分析 · 数学 2024-11-01 Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh

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…

计算工程、金融与科学 · 计算机科学 2024-02-06 A. Baktheer , E. Martínez-Pañeda , F. Aldakheel

We present a phase field-based framework for modelling fatigue damage in Shape Memory Alloys (SMAs). The model combines, for the first time: (i) a generalised phase field description of fracture, incorporating multiple phase field…

计算工程、金融与科学 · 计算机科学 2021-12-16 M. Simoes , C. Braithwaite , A. Makaya , E. Martínez-Pañeda

Convection-driven cooling in porous media influences thermo-poro-mechanical stresses, thereby causing deformation. These processes are strongly influenced by the presence of fractures, which dominate flow and heat transfer. At the same…

数值分析 · 数学 2020-12-14 Ivar Stefansson , Eirik Keilegavlen , Sæunn Halldórsdóttir , Inga Berre

Fracture in quasi-statically driven systems is studied by means of a discrete spring-block model. Developed from close comparison with desiccation experiments, it describes crack formation induced by friction on a substrate. The model…

统计力学 · 物理学 2009-10-31 Kwan-tai Leung , Zoltan Neda

This work models brittle fracture using a linearized surface-substrate theory in which the crack faces possess surface stresses derived from a surface strain-gradient elastic energy. The model incorporates surface stretching, curvature, and…

数学物理 · 物理学 2026-01-09 C. Rodriguez , A. Zemlyanova

The analysis of standardized low cycle fatigue (LCF) experiments shows that the failure times widely scatter. Furthermore, mechanical components often fail before the deterministic failure time is reached. A possibility to overcome these…

材料科学 · 物理学 2022-07-07 M. Harder , P. Lion , L. Mäde , T. Beck , H. Gottschalk

Unstable growth of cracks (rough crack surface and crack branching) in dynamic fracture has long been observed in various materials. Until now, there was no universally agreed upon explanation for these instabilities. Here, we demonstrate…

软凝聚态物质 · 物理学 2019-12-02 Chuang-Shi Shen

Crack fronts deform due to heterogeneities, and inspecting these deformations can reveal local variations of material properties, and help predict out of plane damage. Current models neglect the influence of a finite dissipation…

材料科学 · 物理学 2022-06-10 Thibault Roch , Mathias Lebihain , Jean-François Molinari

The enforcement of global energy conservation in phase-field fracture simulations has been an open problem for the last 25 years. Specifically, the occurrence of unstable fracture is accompanied by a loss in total potential energy, which…

材料科学 · 物理学 2026-01-01 Juan Michael Sargado , Joachim Mathiesen

We present a phase field model of the propagation of fracture under plane strain. This model, based on simple physical considerations, is able to accurately reproduce the different behavior of cracks (the principle of local symmetry, the…

其他凝聚态物理 · 物理学 2007-05-23 Herve Henry , Herbert Levine

A three-way coupled thermo-mechanical fracture model is presented to predict the damage of brittle ceramics, in particular {\alpha}-SiC, over a wide range of temperatures (20-1400 C). Predicting damage over such a range of temperatures is…

材料科学 · 物理学 2026-03-06 Jason Sun , Yu Chen , Joseph J. Marziale , Eric A. Walker , David Salac , James Chen

The quantitative characterisation of crack tip loads is fundamental in fracture mechanics. Although the potential influence of higher order terms on crack growth and stability is known, classical studies solely rely on first order stress…

材料科学 · 物理学 2023-03-29 David Melching , Eric Breitbarth

In this article we formulate and implement a computational multiphase periporomechanics model for unguided fracturing in unsaturated porous media. The same governing equation for the solid phase applies on and off cracks. Crack formation in…

数值分析 · 数学 2022-03-29 Shashank Menon , Xiaoyu Song

We employ a recently developed model that allows the study of two-dimensional brittle crack propagation under fixed grip boundary conditions. The crack development highlights the importance of voids which appear ahead of the crack as…

无序系统与神经网络 · 物理学 2015-06-12 Itamar Procaccia , Jacques Zylberg

This paper presents a formulation for brittle fracture in 3D elastic solids within the context of configurational mechanics. The local form of the first law of thermodynamics provides a condition for equilibrium of the crack front. The…

计算工程、金融与科学 · 计算机科学 2017-08-02 Lukasz Kaczmarczyk , Zahur Ullah , Chris J. Pearce

Soft polymers are ubiquitous materials in nature and as engineering materials with properties varying from rate-independent to rate-dependent. Current fracture toughness measures are non-unique for rate-dependent soft materials for varying…

软凝聚态物质 · 物理学 2026-03-17 Aditya Konale , Vikas Srivastava

In functionally graded materials (FGMs) fabricated using directed energy deposition (DED) additive manufacturing (AM), cracks may form due to interdendritic stress during solidification, the formation of intermetallics, or the buildup of…

材料科学 · 物理学 2023-05-22 Zhening Yang , Hui Sun , Zi-Kui Liu , Allison M. Beese
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