Crack nucleation in negative geometries

Weißgraeber, Philipp; Hell, Sascha; Becker, Wilfried

doi:10.1016/j.engfracmech.2016.02.045

Cited by 35 publications

(20 citation statements)

References 43 publications

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“…1 shows the case of a non monotonic variation of G inc , i.e. G inc attains a maximum for a crack surface S m [9,29,42]. In most cases, crack initiation surface verifies S * < S m (Fig.…”

Section: G(s)mentioning

confidence: 99%

Comparison between cohesive zone and coupled criterion modeling of crack initiation in rhombus hole specimens under quasi-static compression

Doitrand

Estevez

Leguillon

2019

Theoretical and Applied Fracture Mechanics

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Numerical predictions of initiation loading and crack length in a rhombus hole specimen made of a brittle material under quasi-static compression using either cohesive zone model or coupled criterion based on finite fracture mechanics are compared. Both methods lead to the conclusion that crack initiation results in a crack jump over a finite length at a given loading level, which depends on the material parameters and on the specimen geometry. The initiation load level and crack extent depend on the cohesive zone traction-opening displacement profile which represents the underlying failure mechanism. The ranges of initiation force and crack lengths obtained with various traction-opening profiles respectively comprise the initiation force and lower bound for crack arrest derived from the coupled criterion. For the configuration under investigation, similar initiation forces and crack arrest lengths as those predicted using the coupled criterion are obtained using a bilinear cohesive zone model.

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“…1 shows the case of a non monotonic variation of G inc , i.e. G inc attains a maximum for a crack surface S m [9,29,42]. In most cases, crack initiation surface verifies S * < S m (Fig.…”

Section: G(s)mentioning

confidence: 99%

Comparison between cohesive zone and coupled criterion modeling of crack initiation in rhombus hole specimens under quasi-static compression

Doitrand

Estevez

Leguillon

2019

Theoretical and Applied Fracture Mechanics

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“…It is physically sound and requires only the fundamental material parameters strength (σ c , τ c ) and toughness (G Ic , G IIc ) as input. In particular, no assumptions on initial defects or numerical stabilization or regularization parameters are necessary (Weißgraeber et al, 2016b;Rosendahl et al, 2019a). Equation 8is a unified criterion for crack nucleation and crack growth.…”

Section: General Coupled Stress and Energy Criterionmentioning

confidence: 99%

Modeling snow slab avalanches caused by weak-layer failure – Part 2: Coupled mixed-mode criterion for skier-triggered anticracks

Rosendahl

Weißgraeber

2020

The Cryosphere

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Abstract. Using the analytical model presented in Part 1 of this two-part paper, a new conceptual understanding of anticrack nucleation in weak layers is proposed. To obtain a sufficient condition for onset of failure, two necessary conditions must be satisfied simultaneously: (i) the weak layer must be overloaded in terms of stress and (ii) the initiating crack must release enough energy for the formation of new surfaces. This so-called coupled criterion was proposed by Leguillon (2002). No assumptions on initial defects within the weak layer are needed. Instead, the failure criterion provides both critical loading and the size of initiating cracks. It only requires the fundamental material properties strength and fracture toughness as inputs. Crack initiation and subsequent propagation are covered by a single criterion containing both a strength-of-materials and a fracture mechanics condition. Analyses of skier-loaded snowpacks show the impact of slab thickness and slope angle on critical loading and crack initiation length. In the limit cases of very thick slabs and very steep slopes, we obtain natural avalanche release. A discussion of different mixed-mode stress and energy criteria reveals that a wrong choice of mixed-mode hypotheses can yield unphysical results. The effect of material parameters such as density and compliance on weak-layer collapse is illustrated. The framework presented in this two-part series harnesses the efficiency of closed-form solutions to provide fast and physically sound predictions of critical snowpack loads using a new conceptual understanding of mixed-mode weak-layer failure. It emphasized the importance of both stress and energy in avalanche release.

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“…FFM approaches have been applied to different geometries, materials, and loading conditions. Some recent applications include, among the others, the failure behaviour of metals even under moderate or large scale yielding, the investigation of three‐dimensional effects, the description of T‐stress effects on the straight and curved crack deflection, and the study of crack nucleation in negative geometries …”

Section: Introductionmentioning

confidence: 99%

“…Some recent applications include, among the others, the failure behaviour of metals even under moderate or large scale yielding, [12][13][14][15] the investigation of threedimensional effects, [16][17][18] the description of T-stress effects on the straight and curved crack deflection, 19,20 and the study of crack nucleation in negative geometries. 21 From the comparison between theoretical predictions and experimental data, it is generally difficult to determine which TCD criterion predicts more accurately the failure initiation, as the situation changes for each experimental test. From one point of view, the implementation of stress or energy-based criteria generally results more simple, because only one equation has to be solved.…”

Section: Introductionmentioning

confidence: 99%

Finite Fracture Mechanics crack initiation from a circular hole

Sapora

Torabi

Etesam

et al. 2018

Fatigue Fract Eng Mat Struct

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The brittle crack initiation from a circular hole in an infinite slab under uniaxial remote tensile load is investigated. The analysis consists of two parts. The former is focused on the difference between symmetric and asymmetric crack propagation. Different criteria in the framework of the Theory of Critical Distances are implemented, and the potentiality of coupled Finite Fracture Mechanics (FFM) approaches is highlighted from a theoretical point of view. The latter presents the experimental results obtained by carrying out ad‐hoc tensile tests on polymethyl‐methacrylate (PMMA) and general‐purpose polystyrene (GPPS) notched samples and the related FFM investigation. It is shown that FFM predictions are in very good agreement with the experimental results for both tested materials.

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Crack nucleation in negative geometries

Cited by 35 publications

References 43 publications

Comparison between cohesive zone and coupled criterion modeling of crack initiation in rhombus hole specimens under quasi-static compression

Comparison between cohesive zone and coupled criterion modeling of crack initiation in rhombus hole specimens under quasi-static compression

Modeling snow slab avalanches caused by weak-layer failure – Part 2: Coupled mixed-mode criterion for skier-triggered anticracks

Finite Fracture Mechanics crack initiation from a circular hole

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