XFEM investigation on Knoop indentation cracking: Fracture toughness and aspect-ratio of radial-median cracks

Rickhey, Felix; Lee, Jin Haeng; Lee, Hyungyil

doi:10.1016/j.matdes.2016.06.074

Cited by 12 publications

(9 citation statements)

References 34 publications

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“…(Note that some combinations of h max and σ R could not be considered because of the limited size of the inner region (high h max , high σ R ) or because of suppressed radial-median crack formation (low h max , low σ R ). The size of the inner region is limited by computational costs, which are determined by h max , the chosen element size and

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[45]. ) χ app and χ z app remain constant for compressive RS (as known from the RS-free case), but increase clearly with h max for tensile RS; ρ [= ( χ app / χ z app ) 2/3 ] is independent of RS for compressive RS, but decreases with increasing RS for tensile RS.…”

Section: Fe Results and Observations For Equibiaxial Rsmentioning

confidence: 99%

“…It is to be noted that the pair ( E , σ y ) represents the usually given pair ( E , H ); the conversion, which is necessary for application in numerical analysis, is described in [45]. Indentation cracking tests were simulated with σ R = {–0.2, –0.1, 0, 0.05, 0.1, 0.15} GPa.…”

Section: Fe Results and Observations For Equibiaxial Rsmentioning

confidence: 99%

“…As stated before, Equation (9) assumes that ρ = 1 holds independent of material properties and indenter shape. However, ρ is expected to be material- and indenter-dependent (compare Rickhey et al [ 45 ] for Knoop indentation of the RS-free specimen) and may, moreover, change under the influence of RS, so that ρ / ρ o ≠ 1. The consequences of these assumptions will be scrutinized in Section 4 .…”

Section: Analytical Modelsmentioning

confidence: 99%

“…Numerical analyses are performed with Abaqus/Standard. As the XFE model shown in Figure 4 is quite similar to the validated one in Rickhey et al [ 45 ], this section is limited to essential information and to highlight differences. Owing to symmetry, modeling of one quarter specimen is sufficient.…”

Section: Fe Model and Imposition Of Equibiaxial Rsmentioning

confidence: 99%

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Investigation on Indentation Cracking-Based Approaches for Residual Stress Evaluation

2017

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Vickers indentation fracture can be used to estimate equibiaxial residual stresses (RS) in brittle materials. Previous, conceptually-equal, analytical models were established on the assumptions that (i) the crack be of a semi-circular shape and (ii) that the shape not be affected by RS. A generalized analytical model that accounts for the crack shape and its change is presented. To assess these analytical models and to gain detailed insight into the crack evolution, an extended finite element (XFE) model is established. XFE analysis results show that the crack shape is generally not semi-circular and affected by RS and that tensile and compressive RS have different effects on the crack evolution. Parameter studies are performed to calibrate the generalized analytical model. Comparison of the results calculated by the analytical models with XFE results reveals the inaccuracy inherent in the previous analytical models, namely the neglect of (the change of) the crack aspect-ratio, in particular for tensile RS. Previous models should therefore be treated with caution and, if at all, used only for compressive RS. The generalized model, on the other hand, gives a more accurate description of the RS, but requires the crack depth.

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Section: Fe Results and Observations For Equibiaxial Rsmentioning

confidence: 99%

Section: Fe Results and Observations For Equibiaxial Rsmentioning

confidence: 99%

Section: Analytical Modelsmentioning

confidence: 99%

Section: Fe Model and Imposition Of Equibiaxial Rsmentioning

confidence: 99%

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Investigation on Indentation Cracking-Based Approaches for Residual Stress Evaluation

2017

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“…Goel et al [11] have applied the XFEM to investigate the fracture toughness of the rolled Zircaloy-2 at different temperatures. Lee and his co-workers [12][13] have used the XFEM to evaluate the fracture toughness of brittle materials by the use of indentation method.…”

Section: Introductionmentioning

confidence: 99%

Fracture Toughness Testing and Prediction for Ceramic Materials Using in Large-Flow-Rate Emulsion Pumps

Li¹

2019

IJMEA

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Fracture toughness (K IC) tests have been carried out on single edge precracked beam specimens with dimensions in accordance with ISO15732 requirements for two types of zirconia and one type of alumina, i.e. ZrO 2-1, ZrO 2-2 and Al 2 O 3. Experimental determinations of K IC for the two zirconia and one alumina materials are 12.18 MPa•m 1/2 , 16.35 MPa•m 1/2 and 4.99 MPa•m 1/2 , respectively. The median rank method is used to calculate the probability of fracture, F(K IC) of the three cermaic materials for representing the experimental results. The SEM analysis on fracture surfaces of ZrO2-1 materials is carried out, which indicates the fracture in ZrO 2-1 material occurred at the interior of the grain associated with interior stress distribution with principal components of ZrO 2 and SiO 2. Th extended finite element method (XFEM), based on the linear elastic fracture mechanics in conjuciton with a bilinear traction-separation damage law, is used to simulate the progressive crack growth process in the SEPB specimens. The XFEM predicted K IC results are compared with the corresponding experimental data. The XFEM approach overpredicts the K IC values, from 10.4% to 25.6%, for the three ceramic materials. The possible reasons, in the aspect of loading conditions and contact assumptions, for the difference between the predicted and tested results are also discussed.

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Characterization of elastic modulus and hardness of brittle solids by instrumented indentation

Xu,

Liu,

Gong

2024

Acta Mech. Sin.

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XFEM investigation on Knoop indentation cracking: Fracture toughness and aspect-ratio of radial-median cracks

Cited by 12 publications

References 34 publications

Investigation on Indentation Cracking-Based Approaches for Residual Stress Evaluation

Investigation on Indentation Cracking-Based Approaches for Residual Stress Evaluation

Fracture Toughness Testing and Prediction for Ceramic Materials Using in Large-Flow-Rate Emulsion Pumps

Characterization of elastic modulus and hardness of brittle solids by instrumented indentation

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