The M- Integral based failure description on elasto-plastic materials with defects under biaxial loading

Li, Q.; Guo, Yuli; Hou, Junling; Zhu, Wenjie

doi:10.1016/j.mechmat.2017.06.004

Cited by 11 publications

(7 citation statements)

References 18 publications

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“…(Agiasofitou and Lazar, 2017;Baxevanakis and Giannakopoulos, 2015;Chen, 2009a, 2009b;Hui and Chen, 2010;Lazar and Agiasofitou, 2018;Lazar and Kirchner, 2007;Meyer et al, 2017;Seo et al, 2018;Wang and Chen, 2010). For the general multidefects problems, M-integral describes the global damage caused by the defects within the integration contour, and local defects interaction and coalescence contribute to the value of M-integral (Chang and Wu, 2011;Hu et al, 2012;Li et al, 2017;. Consequently, the M-integral would play the key role instead of the J kintegrals in damage mechanics of dispersed multiple defects, which is in agreement with Agiasofitou and Lazar (2017) concerning the J-, L-, and M-integrals of dislocations.…”

Section: Introductionsupporting

confidence: 63%

“…Which property is advantageous if large engineering structures have to be investigated or plasticity has to be taken into account. Third, the M-integral can be used to evaluate the self-similar expansion forces of a whole crack or multicrack problems in comparison with the J k -integrals (Chang et al, 2013;Chang and Peng, 2004;Chang and Wu, 2011;Chen, 2001aChen, , 2001bChen and Hasebe, 1998;Chen and Lu, 2003;Hu and Chen, 2009a;Li et al, 2017;Wang and Chen, 2002;. The M-integral is also applicable for other defect types without obvious singular point, such as voids, inclusions, dislocations, local plastic zones, etc.…”

Section: Introductionmentioning

confidence: 99%

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Damage evaluation for the dispersed microdefects with the aid of M-integral

Zhu

2018

International Journal of Damage Mechanics

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A unified method of evaluating the dispersed microdefects’ equivalent damage area/volume is innovatively proposed by using the M-integral. The corresponding damage evolution rate and fatigue driving force is preliminarily studied for the dispersed microdefects. First, the analytical expression of M-integral is deduced by using the Lagrangian energy density function (Λ), and the corresponding physical meaning of the M-integral is elucidated as the change of the total potential energy due to the damage evolution. Second, the actual damage area/volume induced by underlying dispersed microdefects are assumed equivalent to the area/volume of an individual circular/spherical void while the corresponding values of the M-integral for both cases are equal. As examples, the equivalent damage area associated with the M-integral for a series of representative defect(s) configurations is calculated, including the singular defect (void, crack, and ellipse) and the interactive defects (two voids, two cracks, one void, and one crack). The influences of the defects interaction effect and distribution on the damage level are analyzed quantitatively. Finally, the present method of damage evaluation is proposed to predict fatigue problems of the dispersed defects. A unified fatigue damage evolution law for the dispersed microdefects is preliminarily defined, and a protocol to experimentally measure the damage evolution rate is proposed. The present research will be beneficial to the damage tolerance design and lifetime prediction of engineering structures with dispersed microdefects.

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Section: Introductionsupporting

confidence: 63%

Section: Introductionmentioning

confidence: 99%

Damage evaluation for the dispersed microdefects with the aid of M-integral

Zhu

2018

International Journal of Damage Mechanics

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“…The invariant M-integral has been widely applied to predict the stability of multiple defects [39,40]. Since the M-integral is inherently related to the change of the total potential energy for a damaged material without concerning the specific damage information of every defect, it is an effective method to evaluate the damage evolution of materials containing complex defects.…”

Section: Derivation Of the M-integralmentioning

confidence: 99%

“…Based on Chen's work [39], M-integral has been introduced as a damage parameter for evaluating the degradation of material and structural integrity induced by the evolution of multi-defects. For instance, Li et al [40] successfully used M-integral to describe fracture of elastic-plastic material with multiple defects (e.g. voids) subjected to biaxial loading conditions.…”

Section: Derivation Of the M-integralmentioning

confidence: 99%

“…Here, damage zone refers to a region which contains all cracks and plastic deformation. It should be mentioned that damage zone adopted in the computation of numerical examples should be sufficiently large to ensure the path-independency of Mintegral [24,40,44,45]. However, the actual size of the damage zone does not affect numerical calculation of M-integral which is performed over area "A" free of defects (see Fig.…”

Section: Computation Of the M-integralmentioning

confidence: 99%

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M-integral analysis for cracks in a viscoplastic material with extended finite element method

Hou

Zuo

et al. 2018

Engineering Fracture Mechanics

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The M-integral can be used to quantify complex damage in materials subjected to mechanical deformation. However, the effect of viscoplasticity on the damage level associated with the M-integral has not been studied yet. In this paper, the variation of the Mintegral associated with viscoplastic deformation was investigated numerically using a userdefined material subroutine. Effects of creep deformation and loading rate on the M-integral were also evaluated. In particular, the association of crack growth with the evolution of the M-integral was captured by the extended finite element method for different crack configurations. It was found that viscoplastic deformation has a great effect on the damage evolution of viscoplastic materials characterized by the M-integral. Crack growth leads to an increase of the M-integral, indicating progressive damage of the materials. Concerning the secondary cracks formed around a major crack, the results show that the M-integral is highly dependent on the numbers and locations of those secondary cracks. Shielding effect is mostly evident for microcracks with centres located just behind or vertically in line with the major crack tip. With the increasing number of microcracks, the shielding effect tends to decrease as reflected by the increasing M-integral values.

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