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The primary factors controlling defect stability in phase-field crystal (PFC) models are examined, with illustrative examples involving several existing variations of the model. Guidelines are presented for constructing models with stable…

材料科学 · 物理学 2015-06-11 Joel Berry , Nikolas Provatas , Jörg Rottler , Chad W. Sinclair

We examine the atomistic scale dependence of material's resistance-to-failure by numerical simulations and analytical analysis in electrical analogs of brittle crystals. We show that fracture toughness depends on the lattice geometry in a…

材料科学 · 物理学 2020-07-16 Thuy Nguyen , Daniel Bonamy

In this expository Note, it is shown that the Griffith phase-field theory of fracture accounting for material strength originally introduced by Kumar, Francfort, and Lopez-Pamies (J Mech Phys Solids 112, 523--551, 2018) in the form of PDEs…

偏微分方程分析 · 数学 2024-01-26 C. J. Larsen , J. E. Dolbow , O. Lopez-Pamies

We present a continuum phase-field model of crack propagation. It includes a phase-field that is proportional to the mass density and a displacement field that is governed by linear elastic theory. Generic macroscopic crack growth laws…

材料科学 · 物理学 2009-11-07 L. O. Eastgate , J. P. Sethna , M. Rauscher , T. Cretegny , C. -S. Chen , C. R. Myers

We explore the Mode I fracture toughness of a polymer gel containing a semi-infinite, growing crack. First, an expression is derived for the energy release rate within the linearized, small-strain setting. This expression reveals a crack…

软凝聚态物质 · 物理学 2016-05-09 Giovanni Noselli , Alessandro Lucantonio , Robert M. McMeeking , Antonio DeSimone

Materials deform elasto-plastically and fail under various loading conditions, typically quantified by the stress triaxiality, which is the ratio between the dilatational (hydrostatic) stress and the deviatoric (shear-like) one. We show…

软凝聚态物质 · 物理学 2026-03-23 Pawandeep Kaur , Noam Ottolenghi , Edan Lerner , David Richard , Eran Bouchbinder

Fracture in a disordered lattice system is studied. In our system, particles are initially arranged on the triangular lattice and each nearest-neighbor pair is connected with a randomly chosen soft or hard Hookean spring. Every spring has…

软凝聚态物质 · 物理学 2013-05-29 Chiyori Urabe , Shinji Takesue

This paper presents a framework for modeling failure in quasi-brittle geomaterials under different loading conditions. A micromechanics-based model is proposed in which the field variables are linked to physical mechanisms at the microcrack…

This study aims to unravel the micro-mechanical underpinnings of the emergence of the fractocohesive length scale as a central concept in modern fracture mechanics. A thermodynamically consistent damage and fracture model for elastomers is…

软凝聚态物质 · 物理学 2025-09-03 S. Mohammad Mousavi , Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

We have designed a new experimental setup able to investigate fracture of soft materials at small scales. At high crack velocity, where energy is mostly dissipated through viscoelastic processes, we observe an increasingly large high strain…

软凝聚态物质 · 物理学 2015-01-08 Maxime Lefranc , Elisabeth Bouchaud

This study investigated, experimentally and numerically, the fracturing behavior of thermoset polymer structures featuring cracks and sharp u-notches. It is shown that, even for cases in which the sharpness of the notch would suggest…

软凝聚态物质 · 物理学 2018-12-17 Yao Qiao , Marco Salviato

A recent study demonstrated that granular crystals containing a single dislocation exhibit dislocation glide analogous to that observed in atomic-scale crystals, resulting in plastic deformation at yield stresses several orders of magnitude…

软凝聚态物质 · 物理学 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

We combine molecular dynamics simulations of deformations at the submicron scale with a continuum fracture mechanics calculation for the onset of crack propagation to predict the macroscopic fracture toughness of amorphous glassy polymers.…

材料科学 · 物理学 2009-11-07 Jörg Rottler , Sandra Barsky , Mark O. Robbins

We propose a one-dimensional, nonconvex elastic constitutive model with higher gradients that can predict spontaneous fracture at a critical load via a bifurcation analysis. It overcomes the problem of discontinuous deformations without…

偏微分方程分析 · 数学 2021-03-17 Phoebus Rosakis , Timothy J. Healey , Ugur Alyanak

We perform fracture experiments on nanoscale phase separated glasses and measure crack surface roughness by atomic force microscopy. The ability of tuning the phase domain size by thermal treatment allows us to test thoroughly the…

其他凝聚态物理 · 物理学 2009-05-13 Davy Dalmas , Anne Lelarge , Damien Vandembroucq

It is shown here that fracture after a brief plastic strain, typically of a few percents, is a necessary consequence of the polycrystalline nature of the materials. The polycrystal undergoing plastic deformation is modeled as a flowing…

材料科学 · 物理学 2018-08-28 Miguel Lagos , César Retamal , Rodrigo Valle

The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of Lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model…

软凝聚态物质 · 物理学 2016-11-15 A. Gupta , M. Sbragaglia

In this paper we analyze a system for brittle delamination between two visco-elastic bodies, also subject to inertia, which can be interpreted as a model for dynamic fracture. The rate-independent flow rule for the delamination parameter is…

偏微分方程分析 · 数学 2016-06-01 Riccarda Rossi , Marita Thomas

In this study, we introduce a novel stretch-based gradient-enhanced damage (GED) model that allows the fracture to localize and also captures the development of a physically diffuse damage zone. This capability contrasts with the paradigm…

软凝聚态物质 · 物理学 2025-02-06 S. Mohammad Mousavi , Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

A variational modeling framework for hydraulically induced fracturing of elastic-plastic solids is developed in the present work. The developed variational structure provides a global minimization problem. While fracture propagation is…

数值分析 · 数学 2025-04-11 Daniel Kienle , Marc-Andre Keip