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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…

Other Condensed Matter · Physics 2007-05-23 Herve Henry , Herbert Levine

We study the stability and roughness of propagating cracks in heterogeneous brittle two-dimensional elastic materials. We begin by deriving an equation of motion describing the dynamics of such a crack in the framework of Linear Elastic…

Disordered Systems and Neural Networks · Physics 2013-11-12 E. Katzav , M. Adda-Bedia

The elastoplastic behavior of a two-phase stainless steel alloy is explored at the crystal scale for five levels of stress biaxiality. The crystal lattice (elastic) strains were measured with neutron diffraction using tubular samples…

Materials Science · Physics 2017-07-24 Andrew C. Poshadel , Michael Gharghouri , Paul R. Dawson

Evaluation of residual elastic strain within the bulk of engineering components or natural objects is a challenging task, since in general it requires mapping a six-component tensor quantity in three dimensions. A further challenge concerns…

Electron diffraction through a thin patterned silicon membrane can be used to create complex spatial modulations in electron distributions by varying the intensity of different reflections using parameters such as crystallographic…

Accelerator Physics · Physics 2019-05-30 L. E. Malin , W. S. Graves , M. Holl , J. C. H. Spence , E. A. Nanni , R. K. Li , X. Shen , S. Weathersby

Using the electrostatic approximation, we analyze electromagnetic fields scattered by sharp conical metal tips, which are illuminated with light polarized along the tip axis. We establish scaling relations for the scattered field amplitude…

We study a lattice model for mode III crack propagation in brittle materials in a stripe geometry at constant applied stretching. Stiffening of the material at large deformation produces supersonic crack propagation. For large stretching…

Materials Science · Physics 2009-11-11 T. M. Guozden , E. A. Jagla

In this work, distortion gradient plasticity is used to gain insight into material deformation ahead of a crack tip. This also constitutes the first fracture mechanics analysis of gradient plasticity theories adopting Nye's tensor as primal…

Materials Science · Physics 2020-08-11 S. Fuentes-Alonso , E. Martínez-Pañeda

The fracture toughness for a mode I/II crack propagating in a ductile material has been subject to numerous investigations. However, the influence of the material hardening law has received very limited attention, with isotropic hardening…

Materials Science · Physics 2018-12-18 Kristian J. Juul , Emilio Martínez-Pañeda , Kim L. Nielsen , Christian F. Niordson

We experimentally study the heterogeneity of strain in a granular medium subjected to oscillatory shear in a rotating drum. Two complementary methods are used. The first method relies on optical imaging and grain tracking, allowing us to…

Soft Condensed Matter · Physics 2025-09-30 I. Awada , M. Bornert , V. Langlois , J. Léopoldès

Micro-Laue diffraction and simultaneous rainbow-filtered micro-diffraction were used to measure accurately the full strain tensor and the lattice orientation distribution at the sub-micron scale in highly strained, suspended Ge…

Despite extensive theoretical treatment of short- to long-crack transitions, direct experimental quantification of how elastic and plastic energy contributions evolve at the crack tip during arrest has remained absent. In this study, we…

Materials Science · Physics 2026-04-29 Abdalrhaman Koko , Bemin Sheen , Caitlin Green , Fionn Dunne

Cleavage crack propagation has been investigated in a low-carbon lath-martensitic steel using electron back-scattered diffraction technique. The ability of different martensitic boundaries within prior-austenite grain, such as sub-block,…

Materials Science · Physics 2016-07-19 Arya Chatterjee , A. Ghosh , A. Moitra , A. K. Bhaduri , R. Mitra , D. Chakrabarti

A planar crack generically segments into an array of "daughter cracks" shaped as tilted facets when loaded with both a tensile stress normal to the crack plane (mode I) and a shear stress parallel to the crack front (mode III). We…

Materials Science · Physics 2016-01-06 Chih-Hung Chen , Tristan Cambonie , Veronique Lazarus , Matteo Nicoli , Antonio Pons , Alain Karma

Identifying the three-dimensional (3D) crystal-plane and strain-field distributions of nanocrystals is essential for optical, catalytic, and electronic applications. Here, we developed a methodology for visualizing the 3D information of…

This paper is concerned with the problem of a semi-infinite crack steadily propagating in an elastic solid with microstructures subject to antiplane loading applied on the crack surfaces. The loading is moving with the same constant…

Mathematical Physics · Physics 2012-07-17 G. Mishuris , A. Piccolroaz , E. Radi

Slow strain rates tests (SSRT) were conducted on hydrogen-containing specimens of PH13-8Mo maraging stainless steel. Hydrogen-assisted subcritical quasi-cleavage cracking was shown to take place during SSRT, thus accelerating material…

Materials Science · Physics 2022-11-22 Jolan Bestautte , Szilvia Kalácska , Denis Béchet , Zacharie Obadia , Frederic Christien

Coherent x-ray diffractive imaging is extended to high resolution strain analysis in crystalline nanostructured devices. The application potential is demonstrated by determining the strain distribution in (Ga,Mn)As/GaAs nanowires. By…

The possibility of tailoring the critical strain of 2D materials will be crucial for the fabrication of flexible devices. In this paper, the fracture in polycrystalline MoS2 films with two different grain orientations is studied at the…

Applied Physics · Physics 2019-12-03 M. Sledzinska , G. Jumbert , M. Placidi , A. Arrighi , P. Xiao , F. Alzina , C. M. Sotomayor Torres

Fracture is a fundamental mechanism of materials failure. Propagating cracks can exhibit a rich dynamical behavior controlled by a subtle interplay between microscopic failure processes in the crack tip region and macroscopic elasticity. We…

Materials Science · Physics 2015-05-18 R. Spatschek , E. Brener , A. Karma