A criterion for the growth of cracks with bonds in the end zone

Perelmuter, Mikhail

doi:10.1016/j.jappmathmech.2007.03.002

Cited by 14 publications

(6 citation statements)

References 11 publications

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“…The nonlocal fracture criterion for bridged cracks growth was proposed in [26,27]. In the case of a straight interfacial bridged crack of the length 2 , with bridged zones of size d (Fig.…”

Section: Nonlocal Fracture Criterion For Bridged Cracksmentioning

confidence: 99%

“…We will assume that η = 1 corresponds to the similar deformation law of bonds in the bridged zone and bonds ahead of the crack tip; if η > 1, then the adhesion junction is hard, and the case 0 ≤ η < 1 corresponds to a weak interface junction. The value η = 0 corresponds to "ideal weak" interface-it is the case of cohesive model, and it was shown [27] that the criterion (3) is degenerated for η = 0 to the fracture condition in the Barenblatt-Dugdale-Panasyuk model [1,11,12]. Expression (11) can be written with relations (9) and u( ) = 0, G c = 0 as (see details in [27])…”

Section: Nonlocal Fracture Criterion For Bridged Cracksmentioning

confidence: 99%

“…The SIF K = K ∞ − K b in relations (27) for the case of a constant bond traction q y (t) = P 0 is defined as…”

Section: Nonlocal Fracture Criterion: Uniform Bridged Stressesmentioning

confidence: 99%

“…Within the crack bridged model, the nonlocal fracture criterion for the analysis of quasi-static growth of interfacial bridged cracks with accounting of the energy consumed by bonds has been initially proposed in [26] and was formulated for three-dimensional interfacial bridged cracks in [27]. This criterion is based on two fracture conditions: (a) the energy condition for the crack tip advancing, which takes into account the work done in deforming of the bonds within the crack bridged zone (the stress intensity factors are nonzero at the crack tip); (b) the kinematic condition is used to determine the advance of the trailing edge of the crack bridged zone.…”

Section: Introductionmentioning

confidence: 99%

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Nonlocal criterion of bridged cracks growth: analytical analysis

Perelmuter

2014

Acta Mech

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A nonlocal fracture criterion with accounting of the work during bonds deformation at the fracture process zone has been implemented analytically for analysis of bridged cracks growth. This criterion consists of two conditions: (1) the necessary energy condition of the crack tip limit equilibrium, which takes into account the energy release rate to the crack tip and the rate of deformation energy consumed by bonds in the crack bridged zone; (2) the sufficient condition is the equality of the crack opening at the bridged zone trailing edge to the bond limit stretching. Subcritical and quasi-statical regimes of bridged cracks growth have been formulated on these fracture conditions. Regimes of bridged cracks growth are analyzed in detail for the case of an internal straight bridged crack in homogeneous material with bonds traction, which is constant and independent of the external loading. Analytical expressions are obtained for the deformation energy release rate and for the rate of deformation energy consumed by bonds. The main fracture parameters, the critical external load and the crack bridged zone size in the limit equilibrium state are determined and analyzed. The limit cases of a crack which is filled with bonds and a crack with a small-scale bridged zone are considered. A comparative study with the well-known force fracture criterion for bridged crack growth is performed.

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“…The nonlocal fracture criterion for bridged cracks growth was proposed in [26,27]. In the case of a straight interfacial bridged crack of the length 2 , with bridged zones of size d (Fig.…”

Section: Nonlocal Fracture Criterion For Bridged Cracksmentioning

confidence: 99%

Section: Nonlocal Fracture Criterion For Bridged Cracksmentioning

confidence: 99%

“…The SIF K = K ∞ − K b in relations (27) for the case of a constant bond traction q y (t) = P 0 is defined as…”

Section: Nonlocal Fracture Criterion: Uniform Bridged Stressesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlocal criterion of bridged cracks growth: analytical analysis

Perelmuter

2014

Acta Mech

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“…In fracture mechanics, the crack bridging model is used to analyze fracture toughness and cracks growth assuming the bridged zone destruction as cracks advance. Application of the bridged crack model together with the crack growing criterion [15,16] allows one to obtain dependencies of materials toughness and strength versus a crack length. The toughening effects of bonds is presented, mathematically, by bonds deformation law.…”

Section: Introductionmentioning

confidence: 99%

Interface cracks bridged by nanofibers

Perelmuter¹

2022

Nanosystems: Phys. Chem. Math.

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The model of different materials joint with bridged interface crack is considered. It is assumed that between the crack faces there are nanofibers constraining the crack opening. The size of the zone filled with nanofibers (the bridged zone) can be comparable to the whole crack length. The bond tractions depend on the crack opening at the bridged zone according to the prescribed nonlinear bond deformation law. The system of two singular integral-differential equations with Cauchy-type kernel is used for evaluation of bond tractions for the interface crack bridged by nanofibers. A phenomenological description of the bond deformation law in the crack bridged zone is used. Numerical experiments have been performed to analyze the influence of the bilinear bond deformation law parameters, the size of the crack bridged zone and also the magnitude of the external load on the convergence of the numerical iteration solution of the integral-differential equations system.

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Analysis of Cracks with Bridged Zone of Large Scale

Perelmuter

2008

Proc Appl Math and Mech

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ABSTRACT. The direct boundary element method is used to analyze of the stress–strain state and fracture parameters of fiber–reinforced and layered composites with bridged interface cracks under transient thermal and mechanical loadings. It is supposed that unbroken fibers make up a bridged zone along of whole or part of a delamination region between layers of composite materials. For modelling purposes a bridged zone is considered as a part of a crack between joined materials and supposed that distributed spring–like bonds with given nonlinear deformation law link and constrain crack surfaces. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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A criterion for the growth of cracks with bonds in the end zone

Cited by 14 publications

References 11 publications

Nonlocal criterion of bridged cracks growth: analytical analysis

Nonlocal criterion of bridged cracks growth: analytical analysis

Interface cracks bridged by nanofibers

Analysis of Cracks with Bridged Zone of Large Scale

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