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Over the past few decades, the phase-field method for fracture has seen widespread appeal due to the many benefits associated with its ability to regularize a sharp crack geometry. Along the way, several different models for including the…

Computational Engineering, Finance, and Science · Computer Science 2023-05-15 Andre Costa , Tianchen Hu , John Dolbow

In the region between two closely located stiff inclusions, the stress, which is the gradient of a solution to the Lam\'{e} system with partially infinite coefficients, may become arbitrarily large as the distance between interfacial…

Analysis of PDEs · Mathematics 2021-09-15 Zhiwen Zhao , Xia Hao

We propose a theoretical model for branching instabilities in 2-dimensional fracture, offering predictions for when crack branching occurs, how multiple cracks develop, and what is the geometry of multiple branches. The model is based on…

Materials Science · Physics 2009-11-10 Eran Bouchbinder , Joachim Mathiesen , Itamar Procaccia

The paper deals with classical problem for cracks dislocated in a certain very specific porous elastic material, described by a Cowin-Nunziato model. We propose a method based upon a reducing of stress concentration problem for cracks to…

Mathematical Physics · Physics 2007-05-23 M. Ciarletta , G. Iovane , M. A. Sumbatyan

The link between microscopic mechanisms and macroscopic behaviour, represented by the $da/dN-\Delta K$ curve, plays an increasingly important role in relating the fatigue crack growth curve required for component design to the underlying…

Applied Physics · Physics 2024-11-01 Florian Paysan , David Melching , Eric Breitbarth

When a body is exposed to external forces large local stresses may occur at the surface because of surface roughness. Surface stress concentration is important for many applications and in particular for fatigue due to pulsating external…

Soft Condensed Matter · Physics 2023-04-06 B. N. J. Persson

Stress field solutions and Stress Intensity Factors (SIFs) are found for $n$-cusped hypocycloidal shaped voids and rigid inclusions in an infinite linear elastic plane subject to nonuniform remote antiplane loading, using complex potential…

Soft Condensed Matter · Physics 2017-01-24 Summer Shahzad , Francesco Dal Corso , Davide Bigoni

The problem of a crack impinging on an interface has been thoroughly investigated in the last three decades due to its important role in the mechanics and physics of solids. In this investigation, this problem is revisited in view of the…

Materials Science · Physics 2017-05-24 Marco Paggi , Jose Reinoso

Variational phase-field models of brittle fracture are powerful tools for studying Griffith-type crack propagation in complex scenarios. However, as approximations of Griffith's theory-which does not incorporate a strength criterion-these…

Applied Physics · Physics 2026-01-06 Francesco Vicentini , Jonas Heinzmann , Pietro Carrara , Laura De Lorenzis

Recent experimental studies have observed a surprisingly wide range of strengths in polycrystalline graphene. Previous computational investigations of graphene tilt boundaries have highlighted the role of interfacial topology in determining…

Materials Science · Physics 2025-09-23 Matthew Daly , Chandra Veer Singh

Based on a potential theoretical approach, the subsurface stress field is calculated for an elastic-half space, which is subject to normal and uniaxial tangential surface tractions that - in the case of elastic decoupling - correspond to…

Materials Science · Physics 2023-10-13 Emanuel Willert

The mechanical problem discussed in this paper focuses on the stress state estimation in a composite laminate in the vicinity of a free edge or microcracks. To calculate these stresses, we use two models called Multiparticle Models of…

Classical Physics · Physics 2009-07-07 Rui Pedro Carreira , Jean-François Caron , Alberto Diaz Diaz

Diffraction-based stress analysis of textured materials depends on understanding their elastic heterogeneity and its influence on microscopic strain distributions, which is generally done by using simplifying assumptions for crystallite…

Materials Science · Physics 2025-05-23 Maximilian Krause , Nicola Simon , Claudius Klein , Jens Gibmeier , Thomas Böhlke

In this paper, we introduce a methodology applicable to a wide range of localized two-dimensional sources of stress. This methodology is based on a geometric formulation of elasticity. Localized sources of stress are viewed as singular…

Soft Condensed Matter · Physics 2016-01-20 Michael Moshe , Eran Sharon , Raz Kupferman

We have recently developed a geometric formulation of the stress field for an interacting quantum system within the local density approximation (LDA) of density functional theory (DFT). We obtain a stress field which is invariant with…

Materials Science · Physics 2009-11-07 Christopher L. Rogers , Andrew M. Rappe

The interaction of crack fronts with asperities is central to the criteria of fracture in heterogeneous materials and for predicting fracture surface formation. It is known how dynamic crack fronts respond to small, 1st-order,…

Soft Condensed Matter · Physics 2025-09-17 Itamar Kolvin , Mokhtar Adda-Bedia

Traditional computational approaches in simulating crack propagation in perfectly brittle materials rely on the estimate of stress intensity factors along the rupture front. This proves highly challenging in 3D when the crack geometry…

Materials Science · Physics 2023-06-27 Mathias Lebihain , Manish Vasoya , Véronique Lazarus

This study presented a type of image processing code which is used for sharpening photoelastic fringe patterns of transparent materials in photoelastic experiences to determine the stress distribution. C-Sharp software was utilized for…

Materials Science · Physics 2015-01-12 Seyedmeysam Khaleghian , Anahita Emami , Nasser Soltani

Photoelasticity is employed to investigate the stress state near stiff rectangular and rhombohedral inclusions embedded in a 'soft' elastic plate. Results show that the singular stress field predicted by the linear elastic solution for the…

Soft Condensed Matter · Physics 2014-04-04 Diego Misseroni , Francesco Dal Corso , Summer Shahzad , Davide Bigoni

Accurate prediction of fracture toughness under complex loading conditions, like mixed mode I/II, is essential for reliable failure assessment. This paper aims to develop a machine learning framework for predicting fracture toughness and…

Computational Physics · Physics 2025-03-04 Amir Mohammad Mirzaei