Perturbation approaches of a planar crack in linear elastic fracture mechanics: a review (Q361285)

scientific article; zbMATH DE number 6202792

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English	Perturbation approaches of a planar crack in linear elastic fracture mechanics: a review	scientific article; zbMATH DE number 6202792

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instance of

scholarly article

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title

Perturbation approaches of a planar crack in linear elastic fracture mechanics: a review (English)

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published in

Journal of the Mechanics and Physics of Solids

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publication date

29 August 2013

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full work available at URL

http://www.sciencedirect.com/science/article/pii/S0022509610002462

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zbMATH Keywords

LEFM

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brittle fracture

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fatigue

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crack front deformations

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perturbation approach

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Crack-front instability in a confined elastic film

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Crack paths in plane situations. II: Detailed form of the expansion of the stress intensity factors

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Fracture mechanics. Fundamentals and applications.

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Q4856154

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High-order asymptotics and perturbation problems for 3D interfacial cracks

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Weakly nonlinear fracture mechanics: Experiments and theory

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The variational approach to fracture

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Numerical experiments in revisited brittle fracture

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Solution of three-dimensional crack problems by a finite perturbation method

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A three-dimensional analysis of crack trapping and bridging by tough particles

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An Analysis of Crack Trapping by Residual Stresses in Brittle Solids

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Q3857821

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Q5615302

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Weight functions and fundamental fields for the penny-shaped and the half-plane crack in the three-space

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When and how do cracks propagate?

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One, no one, and one hundred thousand crack propagation laws: a generalized Barenblatt and Botvina dimensional analysis approach to fatigue crack growth

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Thermal fracture as a framework for quasi-static crack propagation

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Q4003397

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Coplanar propagation paths of 3D cracks in infinite bodies loaded in shear

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Statistics of the deformation of the front of a tunnel-crack propagating in some inhomogeneous medium

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Revisiting brittle fracture as an energy minimization problem

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Crack propagation in an elastic solid subjected to general loading. I: Constant rate of extension. II: Non-uniform rate of extension

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Crack propagation in an elastic solid subjected to general loading. III: Stress wave loading

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Crack propagation in an elastic solid subjected to general loading. IV: Obliquely incident stress pulse

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Substrate curvature due to thin film mismatch strain in the nonlinear deformation range

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Nearly circular shear mode cracks

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Shear Stress Intensity Factors for a Planar Crack With Slightly Curved Front

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Nearly Circular Connections of Elastic Half Spaces

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A First-Order Perturbation Analysis of Crack Trapping by Arrays of Obstacles

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VI. The phenomena of rupture and flow in solids

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Laws of crack motion and phase-field models of fracture

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Fracture

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Q4070500

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The variational approach to fracture mechanics. A practical application to the French Panthéon in Paris

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Q4948498

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Three-dimensional crack-face weight functions for the semi-infinite interface crack. I: Variation of the stress intensity factors due to some small perturbation of the crack front

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Crack front stability for a tunnel-crack propagating along its plane in mode 2+3.

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In-plane perturbation of the tunnel-crack under shear loading. I: Bifurcation and stability of the straight configuration of the front.

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In-plane perturbation of the tunnel-crack under shear loading. II: Determination of the fundamental kernel.

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Crack front rotation and segmentation in mixed mode \(\text{I} + \text{III}\) or \(\text{I}+ \text{II}+ \text{III}\). I: Calculation of stress intensity factors. II: Comparison with experiments

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Theoretical analysis of crack front instability in mode I+III

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Crack paths in plane situations. I: General form of the expansion of the stress intensity factors

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Crack paths in three-dimensional elastic solids. I: Two-term expansion of the stress intensity factors -- application to crack path stability in hydraulic fracturing

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Crack paths in three-dimensional elastic solids. II: Three-term expansion of the stress intensity factors -- applications and perspectives

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Asymptotic behavior of stress intensity factors near an angular point of a crack front

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The tensile tunnel-crack with a slightly wavy front

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Evolution of the shape of the fronts of a pair of semi‐infinite cracks during their coplanar coalescence

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In-plane perturbation of a system of two coplanar slit-cracks. II: Case of close inner crack fronts or distant outer ones

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Criterion for initiation of cracks under mixed-mode I + III loading

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On the problem of a pair of point forces applied to the faces of a semi- infinite plane crack

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Crack front waves

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Perturbative simulations of crack front waves

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On perturbations of plane cracks

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Q4705103

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Dynamic stability of a propagating crack.

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Stability of an advancing crack to small perturbation of its path

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Disordering of a dynamic planar crack front in a model elastic medium of randomly variable toughness

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Evaluation of the Lazarus-Leblond constants in the asymptotic model of the interfacial wavy crack

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The deformation of the front of a 3D interface crack propagating quasistatically in a medium with random fracture properties

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Geometrical disorder of the fronts of a tunnel-crack propagating in shear in some heterogeneous medium

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In-plane perturbation of a system of two coplanar slit-cracks. I: Case of arbitrarily spaced crack fronts

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Three-dimensional perturbation solution for a dynamic planar crack moving unsteadily in a model elastic solid

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Some remarks on elastic crack-tip stress fields

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First-Order Variation in Elastic Fields Due to Variation in Location of a Planar Crack Front

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Effective toughness of heterogeneous brittle materials

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On the concentrated loading of certain elastic half-space problems and related external crack problems. A new approach

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Three-dimensional dynamic perturbation of a propagating crack

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Dynamic weight functions for a moving crack. I. Mode I loading

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Perturbation of a dynamic planar crack moving in a model elastic solid

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Identifiers

zbMATH Open document ID

1270.74177

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Mathematics Subject Classification ID

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10.1016/J.JMPS.2010.12.006

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Sitelinks

Mathematics(1 entry)

mardi Publication:361285