Relationship between fractal dimension and fatigue threshold value in dual-phase steels

Wang, Z.G.; Chen, D.L.; Jiang, Xiaoxia; Ai, S. H.; Shih, C.H.

doi:10.1016/s0036-9748(88)80057-7

Cited by 71 publications

(13 citation statements)

References 6 publications

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“…Mixed phase fractures were also reported by Wang and Chen (Wang, Chen et al 1988;Chen, Wang et al 1989) for a varying volume fraction of martensite (a hard, brittle phase) in steels. They found that fractal dimension (fracture roughness) increased with martensite content up to about 35% and then decreased.…”

Section: Brittle Fracturesupporting

confidence: 55%

Fractal Surfaces

Russ

1994

407

175

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Section: Brittle Fracturesupporting

confidence: 55%

Fractal Surfaces

Russ

1994

407

175

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“…Fractal dimensions of about 1.2 were obtained, implying a roughness exponent α 0.8. Wang et al (1988) investigated the relationship between the fractal dimension of a fracture surface and its fatigue threshold using dual-phase steel, and found roughly a linear relation between the two. Wang et al (1988) investigated the relationship between the fractal dimension of a fracture surface and its fatigue threshold using dual-phase steel, and found roughly a linear relation between the two.…”

Section: Roughness Of Fracture Surfacesmentioning

confidence: 99%

Heterogeneous Materials

2003

Interdisciplinary Applied Mathematics

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Mechanics and Materials R.V. KohnSystems and Control S.S. Sastry, P.S. Krishnaprasad Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines has led to the establishment of the series: Interdisciplinary Applied Mathematics.The purpose of this series is to meet the current and future needs for the interaction between various science and technology areas on the one hand and mathematics on the other. This is done, firstly, by encouraging the ways that mathematics may be applied in traditional areas, and well as point towards new and innovative areas of applications; and, secondly, by encouraging other scientific disciplines to engage in a dialog with mathematicians outlining their problems to both access new methods and suggest innovative developments within mathematics itself.The series will consist of monographs and high-level texts from researchers working on the interplay between mathematics and other fields of science and technology.

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“…[1][2][3][4][5][6] That is, fractal dimensions involving the degree of 3D surface roughness can be evaluated over a wide spatial cut-off range. In this regard, the usefulness and accuracy of a triangulation method to quantify a self-similar fractal dimension has been suggested 7) and the method has been recently applied to investigate the surface properties of passivated surface of stainless steels.…”

Section: Introductionmentioning

confidence: 99%

Corrosion Resistance of Stainless Steels Analyzed by Fractal Geometry

Kim¹,

Park²,

Heo³

et al. 2010

Journal of Electrochemical Science and Technology

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Fractal property of the passivated steel surface was investigated on the basis of scaling analysis with a special focus on its relationship with corrosion resistance. For this purpose, the surface of stainless steel was intentionally oxidized under a variety of passivation conditions and its scaling property was analyzed by a triangulation method. The morphology of the passivated steel surface was satisfactorily evaluated with fractal dimension. From the chronoamperometry and impedance measurement, it proved that lower fractal dimension leads to more enhanced corrosion resistance. The higher passivity of the steel surface with lower fractal dimension was discussed in terms of active area and structural imperfection.

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Relationship between fractal dimension and fatigue threshold value in dual-phase steels

Cited by 71 publications

References 6 publications

Fractal Surfaces

Fractal Surfaces

Heterogeneous Materials

Corrosion Resistance of Stainless Steels Analyzed by Fractal Geometry

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