Fractal analyses of microstructure and properties of HSLA steels

Su, Hui; Yan, Zhimiao; Stanley, J.T.

doi:10.1007/bf00462207

Cited by 6 publications

(10 citation statements)

References 3 publications

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“…The fractal dimension of the brittle fracture surface may change largely with spatial distribution of steps, which are associated with shear steps between facets and river patterns. 12,13) As a result, a definite correlation was not found between the absorbed energy and the fractal dimension of the fracture surface in the SS400 steel in this study, while the absorbed energy may increase [1][2][3] or may decrease [4][5][6] with increasing fractal dimension of the fracture surface, depending on materials.…”

Section: Relationship Between Absorbed Energy Fractalmentioning

confidence: 53%

“…They described that the fractal dimension of the fracture surface profile decreased with crack growth. H. Su et al 5) also found the positive relationship between the impact toughness and the fractal dimension of the fracture surface in the high-strength low-alloy (HSLA) steels. Similar results have been reported by other investigators in a wide range of metals and alloy.…”

Section: Introductionmentioning

confidence: 95%

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Quantitative Evaluation of the Impact Fracture Surfaces of SS400 Steel by the Three-dimensional Geometrical Analysis

et al. 2007

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The fractal dimension and the surface roughness of the fracture surface was estimated using the height data generated by the stereo matching method on Charpy V-notch specimens of the SS400 steel impactfractured in the temperature range from 194 K (Ϫ79°C) to 273 K (0°C). The representative fracture surfaces were quasi-cleavage fracture surface with river patterns and steps between facets at 194 K and ductile fracture surface with dimples and shear steps at 273 K. On the region close to the notch root (fracture initiation site), a definite correlation was not found between the absorbed energy and the fractal dimension of the fracture surface, but both absorbed energy and surface roughness increased with temperature because of increased proportion of ductile fracture surface with the larger surface roughness. There was essentially no difference in the fractal dimension between quasi-cleavage fracture surface and ductile fracture surface. Fracture process including fracture initiation, local crack growth or finally fractured part could be examined by the detection of characteristic fracture patterns using the fractal dimension map (FDM) and the surface roughness map (SRM). Detected steps of various sizes were associated with river patterns or fracture at ferrite grain boundaries on the quasi-cleavage fracture surface, and were associated with dimple walls or shear steps on the ductile fracture surface. Steps on both fracture surfaces were formed by common mechanism, namely, by plastic deformation (shear deformation). The density of steps was larger on the quasi-cleavage fracture surface than on the ductile fracture surface. These steps led to a large fractal dimension of the quasi-cleavage fracture surface comparable with the ductile fracture surface with dimples.

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Section: Relationship Between Absorbed Energy Fractalmentioning

confidence: 53%

Section: Introductionmentioning

confidence: 95%

Quantitative Evaluation of the Impact Fracture Surfaces of SS400 Steel by the Three-dimensional Geometrical Analysis

et al. 2007

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“…(19)- (21). Let us illustrate the example met in the bibliography [44] to which we can apply our results. Using the D P ¼f ðAÞ relationship, Su et al [44] find that the fractal dimension of pearlite in HSLA steel increases from 1.47 to 1.57 with different normalizing temperatures (900-1200°C).…”

Section: Application and Discussionmentioning

confidence: 97%

“…Let us illustrate the example met in the bibliography [44] to which we can apply our results. Using the D P ¼f ðAÞ relationship, Su et al [44] find that the fractal dimension of pearlite in HSLA steel increases from 1.47 to 1.57 with different normalizing temperatures (900-1200°C). The higher normalizing temperature, the higher the pearlite area (increases of the radius size from 20 to 50 lm quasi-linearly).…”

Section: Application and Discussionmentioning

confidence: 99%

Statistical artefacts in the determination of the fractal dimension by the slit island method

Bigerelle

Iost

2004

Engineering Fracture Mechanics

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThis paper comments upon some statistical aspects of the slit island method which is widely used to calculate the fractal dimension of fractured surfaces or of materialsÕ features like grain geometry. If a noise is introduced when measuring areas and perimeters of the islands (experimental errors), it is shown that errors are made in the calculation of the fractal dimension and more than a false analytical relation between a physical process parameter and the fractal dimension can be found. Moreover, positive or negative correlation with the same physical process parameter can be obtained whether the regression is performed by plotting the variation of the noisy area versus the noisy perimeter of the considered islands or vice versa. Monte-Carlo simulations confirm the analytical relations obtained under statistical considerations.

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“…Experimental techniques have determined that a variety of materials exhibit fractal surfaces with D s > 2. These include crushed glass, zeolites [22], silica gels [22,23], lignite coals [21], porous rocks [1], soils [24] and composite steels [2] (see Korvin [25] for a review). On the other hand, volume (or mass) fractals occur when voids (or inclusions) are present at all scales.…”

Section: Evaluation Of Boundsmentioning

confidence: 99%

Transport and elastic properties of fractal media

Roberts

Knackstedt

1996

Physica A: Statistical Mechanics and its Applications

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We investigate the influence of fractal structure on material properties. We calculate the statistical correlation functions of fractal media defined by level-cut Gaussian random fields. This allows the modeling of both surface fractal and mass fractal materials. Variational bounds on the conductivity, diffusivity and elastic moduli of the materials are evaluated. We find that a fractally rough interface has a relatively strong influence on the properties of composites. In contrast a fractal volume (mass) has little effect on material properties.

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Fractal analyses of microstructure and properties of HSLA steels

Cited by 6 publications

References 3 publications

Quantitative Evaluation of the Impact Fracture Surfaces of SS400 Steel by the Three-dimensional Geometrical Analysis

Quantitative Evaluation of the Impact Fracture Surfaces of SS400 Steel by the Three-dimensional Geometrical Analysis

Statistical artefacts in the determination of the fractal dimension by the slit island method

Transport and elastic properties of fractal media

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