Fractal geometry of fracture surfaces of a duplex stainless steel

Hilders, O.A.; Ramos, Marcelo Barbosa; Peña, N.; Sáenz, Laura

doi:10.1007/s10853-006-0102-z

Cited by 30 publications

(14 citation statements)

References 17 publications

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“…where = 1.30 and = 0.001/ m. Equation 2represents the connection between the microstructure (grain size) and the irregularity of the fracture surface (measured by ). The results predicted in Figure 4 are consistent with the general observation that grain size reduction is a means to increase the toughness of a metallic alloy [43,44], since, as many studies have been strongly supported, the higher the fracture surface fractal dimension is, the higher the toughness is [19,21,39,[45][46][47].…”

Section: The Relation Between Yield Stress Andsupporting

confidence: 86%

“…As the mechanical properties depend on the microstructure, it is clear that the topography of the fractured surfaces is also related to the mechanical properties. On the other hand, in view of the usefulness of the fractal geometry to study the relation between fracture surface tortuosity and mechanical properties [17][18][19][20][21][22][23][24][25][26][27] and that of the Hall-Petch relationship to relate microstructure and mechanical properties [28][29][30][31][32], it is understandable that the microstructure-fracture topography-mechanical properties relationship can be studied by combining both approaches. So far only a few bridges have been built between these two approaches (see, e.g., [28,33]).…”

Section: Introductionmentioning

confidence: 99%

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Microstructure, Strength, and Fracture Topography Relations in AISI 316L Stainless Steel, as Seen through a Fractal Approach and the Hall-Petch Law

Hilders

Zambrano²,

Caballero

2015

International Journal of Metals

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The influence of the fracture surface fractal dimension DF and the fractal dimension of grain microstructure DM on the strength of AISI 316L type austenitic stainless steel through the Hall-Petch relation has been studied. The change in complexity experimented by the net of grains, as measured by DM, is translated into the respective fracture surface irregularity through DF, in such a way that the higher the grain size (lower DM values) the lower the fracture surface roughness (lower values of DF) and the shallower the dimples on the fractured surfaces. The material was heat-treated at 904, 1010, 1095, and 1194°C, in order to develop equiaxed grain microstructures and then fractured by tension at room temperature. The fracture surfaces were analyzed with a scanning electron microscope, DF was determined using the slit-island method, and the values of DM were taken from the literature. The relation between grain size, DM, mechanical properties, and DF, developed for AISI 316L steel, could be generalized and therefore applied to most of the common micrograined metal alloys currently used in many key engineering areas.

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Section: The Relation Between Yield Stress Andsupporting

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Microstructure, Strength, and Fracture Topography Relations in AISI 316L Stainless Steel, as Seen through a Fractal Approach and the Hall-Petch Law

Hilders

Zambrano²,

Caballero

2015

International Journal of Metals

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“…Hilders et al [15] reported that both yield strength and ultimate tensile strength decreased with increasing fractal dimension of the fracture surface for a duplex stainless steel tested at room temperature. To determine if a similar relationship exists for TC21 titanium alloy, three SEM images are taken at different positions on the fracture surface.…”

Section: Methods For Fractal Dimension Measurementmentioning

confidence: 99%

Influence of Cooling Rate and Aging on the Lamellar Microstructure and Fractography of TC21 Titanium Alloy

Shao

Zhao

et al. 2013

Metallogr. Microstruct. Anal.

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A new titanium alloy (Ti-5.97Al-2.06Sn-2.02Zr-2.96Mo-1.25Cr-2.08Nb-xSi, wt.%) was cooled at different rates to produce a variety of microstructures. Phase and microstructure characterization were performed using LM, SEM, TEM, and XRD. The b phase transformed to the a 00 phase upon water quenching. The transformation (b ? b metastable ? a) took place when the cooling rate decreased to the air cooling and furnace cooling rates. After a subsequent aging treatment, both the a 00 and the metastable b phase decomposed into a and b phases with different morphologies. The tensile and yield strength values depended on the final microstructures and were related to the fractal dimension of the fracture surfaces.

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“…18,20) They found that both yield strength (· YS ) and ultimate tensile strength (· UTS ) decrease, while ductility increases with increasing fractal dimension under different heat treatment conditions. Hilders et al 21) reported that the fractal dimension decreases as the dimple size of the tensile fracture surface decreases for a duplex stainless steel under different heat treatment conditions. The experimental results obtained by Wang et al 22) showed that the ultimate tensile strength of aluminum alloy 6061 composite subjected to tension increases with increasing fractal dimension.…”

Section: ¹1mentioning

confidence: 99%

Characterizations of Temperature-Dependent Tensile Deformation and Fracture Features of Commercially Pure Titanium

et al. 2013

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Tensile deformation and fracture behavior of a commercially pure (CP) titanium were investigated at different temperatures through mechanical tests, microstructural observations and fractal analyses. It was found that, with increasing temperature, the number and size of microvoids formed along shear bands (SBs) or at the intersections of SBs on the deformed specimen surface increase, and the fractal dimensions of the scanning profile at the surface near fracture increase correspondingly, and the ones measured perpendicular to the tensile direction is obviously larger than those parallel to the tensile direction, indicating an increased concentration of plastic deformation of CP Ti along the tensile axis. The diameter and depth of dimples on the fracture surfaces of CP Ti increase significantly with increasing temperature, giving rise to a higher fracture surface roughness reflected by a higher fractal dimension. TEM observations demonstrated that the plastic deformation of CP Ti is gradually occupied by dislocation slipping rather than twinning with increasing temperature. This is in good agreement with the fractal analyses of the deformation and fracture features.

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Fractal geometry of fracture surfaces of a duplex stainless steel

Cited by 30 publications

References 17 publications

Microstructure, Strength, and Fracture Topography Relations in AISI 316L Stainless Steel, as Seen through a Fractal Approach and the Hall-Petch Law

Microstructure, Strength, and Fracture Topography Relations in AISI 316L Stainless Steel, as Seen through a Fractal Approach and the Hall-Petch Law

Influence of Cooling Rate and Aging on the Lamellar Microstructure and Fractography of TC21 Titanium Alloy

Characterizations of Temperature-Dependent Tensile Deformation and Fracture Features of Commercially Pure Titanium

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