Construction of quasi-brittle and quasi-ductile fracture diagrams based on necessary and sufficient criteria

Кургузов, В. Д.; Kornev, V. M.

doi:10.1134/s0021894413010197

Cited by 11 publications

(16 citation statements)

References 12 publications

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“…At χ 2.5, for the smaller root Δ − with two terms of the binomial expansion taken into account, we obtain the approximate equality Δ − ≈ πY 2 λ 2 l(5χ/(8π)) 2 /32 = 25χ 2 λ 2 lY 2 /(2 11 π), which coincides with expressions (8) and (12). Therefore, the approximation (8) applies only if χ 2.5.…”

Section: Refined Kornev Modelsupporting

confidence: 72%

“…Let us analyze the obtained system of formulas (12) and (13). System (1) and (2) is equivalent to system (4), (10) written using the SIF, provided that both systems contain the same function σ y (x, 0) of the normal stress on the crack continuation and the same function of the crack half-opening ν = ν(x).…”

Section: Refined Kornev Modelmentioning

confidence: 99%

“…The introduction of this parameter allows a more accurate evaluation of the destruction of the structure of the prefracture zone using information on the parameters of the standard (σ−ε) diagrams of materials (σ is the stress and ε is the strain). This work is a continuation of [9][10][11][12]. The basic assumptions of the Kornev model for a mode I crack located in the center of a structured bimetallic square plate of size L × L along a straight-line interface are given below [9,11].…”

Section: Introductionmentioning

confidence: 99%

“…The approximate relations of the Kornev model are refined. The results of calculations using the refined model are compared with the results of numerical experiments for cracks in a bimetallic plate [10] and a homogeneous structured plate [12].…”

Section: Introductionmentioning

confidence: 99%

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Fracture model for structured quasibrittle materials

Кургузов

Astapov

2014

J Appl Mech Tech Phy

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We analyze the applicability of a modified Leonov-Panasyuk-Dugdale model to the description of the propagation of a mode I crack in structured materials under plane stress conditions. For quasi-brittle materials, refined formulas of the critical length of the prefracture zone and the critical load containing a structural parameter are proposed. The Kornev model is extended to the case of quasi-ductile materials. Numerical simulation of plastic zones in square plates of a bimetal and a homogeneous material under quasi-static loading is performed. In the numerical model, the equations of deformable solid mechanics are expressed in the Lagrangian formulation, which is the most preferred for large-strain deformations of elastoplastic materials. The results of the numerical experiments are consistent with the results of calculations using the analytical model for the fracture of structured materials.

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Section: Refined Kornev Modelsupporting

confidence: 72%

Section: Refined Kornev Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fracture model for structured quasibrittle materials

Кургузов

Astapov

2014

J Appl Mech Tech Phy

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“…DISCUSSION The critical fracture stresses for quasi-brittle bodies derived in an explicit form describe decomposition of a specimen to the parts. Partly, the simulation results were validated in [22], when the elastoplastic problem of extension of a plate with the central crack was solved using the finite-element method. In this work, dimensions and shape of the plastic zone near the crack tip for different levels of loads corresponding to quasi-brittle and quasi-ductile fracture were studied.…”

mentioning

confidence: 99%