Evaluation of the sizes of the process zone for quasibrittle notched specimens

Kohút, Igor; Kalyta, H. I.

doi:10.1007/s11003-008-9048-4

Cited by 5 publications

(2 citation statements)

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“…Experimental investigations of cracks reveal a complex structure of the material near the end of the crack and, in particular, the presence of a developed plastic zone in the vicinity of the crack tip and a process zone much smaller than the indicated plastic zone [6][7][8]. There are few analytic models taking into account the simultaneous existence of both zones.…”

Section: 375mentioning

confidence: 99%

“…The zone is modeled by a lateral segment of discontinuity of tangential displacements and by a segment of discontinuity of normal displacements on the interface. We study the influence of the formation of a plastic zone on the conditions of crack start.Experimental investigations of cracks reveal a complex structure of the material near the end of the crack and, in particular, the presence of a developed plastic zone in the vicinity of the crack tip and a process zone much smaller than the indicated plastic zone [6][7][8]. There are few analytic models taking into account the simultaneous existence of both zones.…”

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Investigation of the Influence of Plasticity of Materials on the Strength of a Composite Joint

Dudyk

Dikhtyarenko

2014

J Math Sci

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539.375Under the conditions of plane deformation, by the Wiener-Hopf method, we perform the numerical analysis of the process zone in the vicinity of the tip of an interface crack that propagating from an angular point of the interface of two different materials one of which is plastic. The zone is modeled by a lateral segment of discontinuity of tangential displacements and by a segment of discontinuity of normal displacements on the interface. We study the influence of the formation of a plastic zone on the conditions of crack start.Experimental investigations of cracks reveal a complex structure of the material near the end of the crack and, in particular, the presence of a developed plastic zone in the vicinity of the crack tip and a process zone much smaller than the indicated plastic zone [6][7][8]. There are few analytic models taking into account the simultaneous existence of both zones. In numerous works [3][4][5]11], it is proposed to use the so-called "trident" model for the solution of some symmetric problems of fracture mechanics. In this model, it is assumed that the process zone develops in two stage. In the first stage, two narrow plastic strips modeled by the segments of discontinuity of tangential displacement symmetrically propagate from the crack tip at a certain angle to its initial direction. Since their appearance does not remove the stress concentration in the vicinity of the tip, in the next stage, we observe the formation of process zone on the continuation of the crack. This zone is modeled by a segment of discontinuity of normal displacements.In the present work, we compute the initial process zone under the conditions of plane strain in the vicinity of the tip of an interface crack propagating from a corner point of the broken interface of two materials, one of which is elastoplastic and the other is elastic. The posed problem is reduced to the solution of two problems. In the first problem, we compute a narrow plastic strip propagating in the plastic material from the crack tip at a certain angle to the interface. In the second problem, we solve the problem of the process zone appearing on the interface after the formation of the lateral plastic strip. The obtained results are compared with the results of the solution of the problem of interface process zone without regard for the plasticity of materials of the composite [1]. Note that a fairly large number of investigations (many of them have been carried out within the last decade [12][13][14][15][16] are devoted to the influence of the plasticity of materials on the interface strength in the case of a crack located on the plane interface of materials. Computation of a Lateral Plastic StripUnder the conditions of plane strain, we consider the problem computing the initial plastic zone in the vicinity of the tip of an interface crack propagating from a corner point of the interface of two homogeneous isotropic media with Young'

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Section: 375mentioning

confidence: 99%

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confidence: 99%