Boundary element analysis of structures with bridged interfacial cracks

Perelmuter, Mikhail

doi:10.1007/s00466-012-0817-4

Cited by 21 publications

(17 citation statements)

References 40 publications

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“…(33) and (34) for the above given parameters gives the relative magnitude of the critical crack bridged zone t cr = d cr / = 0.284 and the critical external stress σ cr = 1.682P 0 for that value of t cr . A clear representation of the equations system (33) and (34) solution can be obtained from the following graphical analysis of the results.…”

Section: Nonlocal Fracture Criterion: Uniform Bridged Stressesmentioning

confidence: 99%

“…When in the bridged model (see, for example, (9)), the functional relation between the crack opening and stresses in the bridged zone is accounted then the problem of determining the crack opening and stresses in the crack bridged zone in homogeneous material or for an interfacial bridged crack in infinite plane reduces to the numerical solution of an integral or integrodifferential equations [16,26,[30][31][32]. The boundary elements method can be used for the analysis of stresses and SIFs for structures of finite sizes [33].…”

Section: Regimes Of Bridged Crack Quasi-static Growthmentioning

confidence: 99%

“…When the external load σ 0 is monotonically increased, two bridged zones, each with a size d, are formed near the crack tips. Subcritical crack growth from initial slit without bonds, λ j is the relative initial slit size, λ = /d 0 Then, the parameter t for the nonlocal fracture criterion system (33) and (34) is…”

Section: Subcritical Crack Growth Initial Slit Without Bondsmentioning

confidence: 99%

“…The system of nonlinear algebraic equations (33) and (34) corresponds to conditions (3)-(4) of the crack limit equilibrium with a bridged zone and contains two unknown quantities:…”

Section: Nonlocal Fracture Criterion: Uniform Bridged Stressesmentioning

confidence: 99%

“…The remaining parameters in (35) are supposed to be given. The equation for searching the critical size of the crack bridged zone is obtained by substituting the parameter Z 0 from expression (34) into expression (33):…”

Section: Nonlocal Fracture Criterion: Uniform Bridged Stressesmentioning

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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Section: Nonlocal Fracture Criterion: Uniform Bridged Stressesmentioning

confidence: 99%

Section: Regimes Of Bridged Crack Quasi-static Growthmentioning

confidence: 99%

Section: Subcritical Crack Growth Initial Slit Without Bondsmentioning

confidence: 99%

“…The system of nonlinear algebraic equations (33) and (34) corresponds to conditions (3)-(4) of the crack limit equilibrium with a bridged zone and contains two unknown quantities:…”

Section: Nonlocal Fracture Criterion: Uniform Bridged Stressesmentioning

confidence: 99%

Section: Nonlocal Fracture Criterion: Uniform Bridged Stressesmentioning

confidence: 99%

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