Analytical fractal model for rugged fracture surface of brittle materials

Alves, Lucas Máximo; Chinelatto, Adilson Luiz; Grzebielucka, Edson Cezar; Prestes, Eduardo; Lacerda, Luiz Alkimin de

doi:10.1016/j.engfracmech.2016.05.015

Cited by 9 publications

(2 citation statements)

References 41 publications

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“…It has been widely used in art, astronomy, geography, biology, fluid dynamics, probability theory, chaos theory, and pure mathematics in the past few decades [14][15][16][17][18][19]. In recent years, the fractal theory was used to describe the propagation of cracks in rock or concrete specimens in laboratory [20][21][22][23][24][25]. These studies confirmed that the cracks in concrete have fractal properties [21].…”

Section: Introductionmentioning

confidence: 66%

A New Health Assessment Index of Tunnel Lining Based on the Digital Inspection of Surface Cracks

Wu¹,

Jiang²,

Wang³

et al. 2017

Preprint

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Abstract:The stability assessment of aged tunnel linings are mainly evaluated based on the visual inspection, and the Tunnel-lining Crack Index (TCI) is one of the most widely used tunnel lining health assessment indexes in Japan. However, the intersection and distribution of cracks, which could influence the stability of tunnel lining greatly, were not considered in TCI. A new method was proposed for the health assessment of tunnel lining, which evaluated the lining states according to the fractal dimension of cracks. Based on the machine vision-based method, the crack image could be extracted efficiently. The fractal dimension of lining cracks in one span could be obtained in a few minutes. A series of comparative tests and field tests were conducted to evaluate the validity of this new method. The comparative tests confirmed that fractal dimension was able to characterize the density, width, and distribution of cracks. The intersection of cracks, which would increase the risk of lining collapse, could also increase the fractal dimension. The fractal dimensions of tunnel lining cracks were obtained according to the digital inspection test of Hidake Tunnel in Japan for all the 65 spans. Moreover, the TCI was obtained through statistical methods. The correlation between fractal dimension and TCI of tunnel lining was studied. The significance of the new evaluation index is that it can identify the unusual spans of tunnel lining and provide a basis for further internal testing. As a complement to the conventional visual inspection method, the fractal dimension of the cracks is a promising health assessment index.

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Section: Introductionmentioning

confidence: 66%

A New Health Assessment Index of Tunnel Lining Based on the Digital Inspection of Surface Cracks

Wu¹,

Jiang²,

Wang³

et al. 2017

Preprint

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“…Diverse relations between the spatial structure of the components and some physical properties exist (Xian, Y. et al 2017) when bamboo has been utilized in composites. The fractal evaluation has even been related in the forms of failure during the material's evaluation (Alves, L. M. et al 2016).…”

Section: Table 1 Average Stresses Register For the Three Bamboo Culmmentioning

confidence: 99%

Microscopic Analysis of Bamboo Pieces and Its Relation to Compression Resistance

Medrano*¹,

Domínguez²

2019

IJRTE

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Bamboo has been identified as a structural element capable of satisfactorily absorbing tension and compression stresses, and, to a lesser proportion, parallel shear along its fibers, as well as bending with possibility of usage in buildings and as viable ecological alternative. The ultrastructure of the bamboo, from the Guadua Velutina species, obtained from the Vega Rica ejido in El Higo, Veracruz, Mexico, was characterized It was characterized the ultra structure of the bamboo, of the species Guadua velutina, obtained of the Ejido Vega Rica of the municipality El Higo, Veracruz, Mexico for use in the industry of the construction. Previously, pieces were tested to determine their mechanical properties: compression and shear parallel to the fiber, following the standards indicated in the methodology. Subsequently, the microscopic analysis of longitudinal and transverse sections of this anisotropic material, with variable porosity in its walls, was carried out. It was found that the arrangement and shape of its fibers that give rise to its porosity is correlated with its resistance to the different stresses to which it is subjected and that its porosity also decreases in joints zones, where its fibers have no defined direction. These findings are important because they make it possible to recognize the durability of the material in such a way that they can be considered in the construction of structural elements.

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Experimental Study and Fractal Analysis on the Anisotropic Performance of Explosively Welded Interfaces of 304 Stainless Steel/245 Carbon Steel

Qiu

2018

J. of Materi Eng and Perform

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Analytical fractal model for rugged fracture surface of brittle materials

Cited by 9 publications

References 41 publications

A New Health Assessment Index of Tunnel Lining Based on the Digital Inspection of Surface Cracks

A New Health Assessment Index of Tunnel Lining Based on the Digital Inspection of Surface Cracks

Microscopic Analysis of Bamboo Pieces and Its Relation to Compression Resistance

Experimental Study and Fractal Analysis on the Anisotropic Performance of Explosively Welded Interfaces of 304 Stainless Steel/245 Carbon Steel

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