A novel approach to model mixed mode plasticity at crack tip and crack growth. Experimental validations using velocity fields from digital image correlation

Decreuse, P.Y.; Pommier, Sylvie; Poncelet, Martin; Raka, Bumedijen

doi:10.1016/j.ijfatigue.2011.11.021

Cited by 12 publications

(4 citation statements)

References 39 publications

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“…In addition to SIFs and T stress, DIC data have also been used for the identification of other fracture mechanics parameters, such as plastic flow under mixed mode loading, crack propagation law, monitor crack growth, parameters in cohesive law, estimating plastic zone size, and crack opening displacement, the latter will be discussed in the following chapter. Digital image correlation measures total displacements/strains; hence, plastic components normally need to be separated from the total using numerical methods together with suitable materials constitutive models (Figure ) .…”

Section: Determination Of Fracture Mechanics Parametersmentioning

confidence: 99%

“…Digital image correlation measures total displacements/strains; hence, plastic components normally need to be separated from the total using numerical methods together with suitable materials constitutive models (Figure ) . Decreuse et al partitioned deformation under mixed mode loading conditions into elastic and plastic parts by considering unloading to be essentially elastic. They utilised a generalised von Mises criterion to determine a threshold for plastic flow, also estimated the plastic flow direction.…”

Section: Determination Of Fracture Mechanics Parametersmentioning

confidence: 99%

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Full‐field characterisation of crack tip deformation and fatigue crack growth using digital image correlation—a review

Tong

2018

Fatigue Fract Eng Mat Struct

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In recent years, digital image correlation has been widely used in the analysis of crack problems. This review will examine digital image correlation, as a full‐field measurement technique, in the studies of crack tip mechanical behaviour under cyclic loading conditions. In particular, topics including determination of fracture mechanics parameters and evaluation of crack closure will be discussed. Micromechanical aspects of crack growth under cyclic loading will also be explored in crack driving and attenuation effects.

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Section: Determination Of Fracture Mechanics Parametersmentioning

confidence: 99%

Section: Determination Of Fracture Mechanics Parametersmentioning

confidence: 99%

Full‐field characterisation of crack tip deformation and fatigue crack growth using digital image correlation—a review

Tong

2018

Fatigue Fract Eng Mat Struct

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“…Confined plasticity cases can be dealt with [1,18,28] but it is less suitable for large scale yielding conditions [20,25]. An alternative methodology to describe the local elastic-plastic effects was proposed by Decreuse et al [12] which consists in decomposing DIC displacements into an elastic part and a complementary one.…”

Section: Introductionmentioning

confidence: 99%

Plastic zone evolution during fatigue crack growth: Digital image correlation coupled with finite elements method

Hosdez

Langlois

Witz

et al. 2019

International Journal of Solids and Structures

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et al.. Plastic zone evolution during fatigue crack growth: Digital image correlation coupled with finite elements method. International Journal of Solids and Structures, Elsevier, 2019, 171, pp.Abstract Nonlinearities effects at the crack tip, due to the elastic-plastic material behavior, impact the crack growth rate and path. This paper is devoted to the study of the plastic zone evolution in the crack tip region. The methodology relies on coupling an elastic-plastic Finite Elements Method (FEM) model and experimental displacements measured by Digital Image Correlation (DIC). These latter are introduced as Dirichlet boundary conditions in the finite elements analysis. The considered FEM domain is constant, i.e. the same mesh with a centered crack is moved to each new crack tip position deduced from DIC. The new boundary conditions are updated and the residual stresses and plastic strains of the former computation are interpolated and actualized on the mesh shifted to the new crack tip position in order to incorporate them in the numerical model. The coupling method allowed applying experimental boundary conditions in order to be as close as possible to real experimental conditions and to observe the plasticity evolution from small to large scale yielding conditions. A fatigue test was conducted to validate the proposed approach. The identification residues are proved to be lower than those obtained with an experimental displacements projection onto Williams' series basis, which is a method commonly used with DIC. The coupling results present an attractive similarity with Irwin's model regardless of the crack length. Thus, the definition of the mask needed for the displacements fields projection on Williams' model can be deduced with a reliable estimate of Irwin's plastic radius.

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“…Stress fields around a mixed-mode crack tip in 368 LARISA V. STEPANOVA AND EKATERINA M. YAKOVLEVA different materials have been investigated by many researchers [Dong and Pan 1990;Smith et al 2001;Shlyannikov 2003;Pan and Lin 2006;Shlyannikov and Kislova 2009;Rahman and Hancock 2006;Berto and Lazzarin 2013;Berto and Lazzarin 2014;Leblond and Frelat 2014;Akbardoost and Ayatollahi 2014]. The study of mixed-mode loads is of particular importance: mixed-mode loading of cracked specimens is of profound importance from theoretical [Bui 2011; Pestrikov and Morozov 2012;Wei 2010], computational [Kuna 2013] and experimental [Decreuse et al 2012;Ondraček and Materna 2014;Vildeman et al 2012;Wei et al 2011] points of view. Currently, mixed-mode crack problems in materials with nonlinear constitutive relations (power law constitutive equations of deformation plasticity theory, steady state creep Norton's law) have aroused considerable interest in many areas of fracture mechanics [Berto and Lazzarin 2013;Botvina et al 2013;Hello et al 2012;Richard et al 2014;Shlyannikov and Kislova 2009;Shlyannikov 2012;.…”

Section: Introduction Mixed-mode Loading Of Cracked Structuresmentioning

confidence: 99%

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Степанова

Yakovleva

2015

J. Mech. Mater. Struct.

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The stress-strain state analysis near the crack tip in a power-law material under mixed-mode loading conditions is investigated. By the use of the eigenfunction expansion method the stress-strain state near the mixed-mode crack tip under plane stress conditions is found. The type of the mixed-mode loading is specified by the mixity parameter, which varies from 0 to 1. The value of the mixity parameter corresponding to a mode II crack loading is equal to 0, whereas the value corresponding to a mode I crack loading is equal to 1. It is shown that the eigenfunction expansion method results in a nonlinear eigenvalue problem. The numerical solutions of the nonlinear eigenvalue problems for all values of the mixity parameter and for all practically important values of the strain hardening (or creep) exponent are obtained. It is found that mixed-mode loading of the cracked plate gives rise to a change in the stress singularity in the vicinity of the crack tip. Mixed-mode loading of the cracked plate results in new asymptotics of the stress field, which is different from the classical Hutchinson-Rice-Rosengren (HRR) stress field. The approximate solution of the nonlinear eigenvalue problem is obtained by a perturbation theory technique (artificial small parameter method). In the framework of the perturbation theory approach, a small parameter representing the difference between the eigenvalue of the nonlinear problem and the undisturbed linear problem is introduced. The asymptotic analysis carried out shows clearly that the stress singularity in the vicinity of the crack tip changes under mixed-mode loading in the case of plane stress conditions. The angular distributions of the stress and strain components (eigenfunctions) in the full range of values of the mixity parameter are given. The authors would like to acknowledge the financial support of the Russian foundation of basic research, project 13-01-97009-a.

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A novel approach to model mixed mode plasticity at crack tip and crack growth. Experimental validations using velocity fields from digital image correlation

Cited by 12 publications

References 39 publications

Full‐field characterisation of crack tip deformation and fatigue crack growth using digital image correlation—a review

Full‐field characterisation of crack tip deformation and fatigue crack growth using digital image correlation—a review

Plastic zone evolution during fatigue crack growth: Digital image correlation coupled with finite elements method

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