Self-affine cracks in a brittle porous material

Ivan Campos; A. Balankin; O. Bautista; G. Ramírez

doi:10.1016/j.tafmec.2005.06.007

Self-affine cracks in a brittle porous material

Ivan Campos, A. Balankin, O. Bautista, G. Ramírez

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Fractal mechanics and probabilistic methods are applied to an ideal porous material (gypsum rock). The behavior of the material fracture is brittle in essence, concluding that the lines of fracture propagation have self-affine invariance, due to the high rugosity of the crack developed within a wide but limited length interval of scale in the cracks. The validity of the mechanic equations of self-affine cracks are verified by a comparison between the predictions of self-affine fracture mechanics and the results of standardized mechanical tests, obtaining the fractal fracture toughness of gypsum rock.

Original language	English
Pages (from-to)	187-191
Number of pages	5
Journal	Theoretical and Applied Fracture Mechanics
Volume	44
Issue number	2
DOIs	https://doi.org/10.1016/j.tafmec.2005.06.007
State	Published - Nov 2005

Keywords

Brittle
Cracks
Fractal fracture
Self-affine

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10.1016/j.tafmec.2005.06.007

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title = "Self-affine cracks in a brittle porous material",

abstract = "Fractal mechanics and probabilistic methods are applied to an ideal porous material (gypsum rock). The behavior of the material fracture is brittle in essence, concluding that the lines of fracture propagation have self-affine invariance, due to the high rugosity of the crack developed within a wide but limited length interval of scale in the cracks. The validity of the mechanic equations of self-affine cracks are verified by a comparison between the predictions of self-affine fracture mechanics and the results of standardized mechanical tests, obtaining the fractal fracture toughness of gypsum rock.",

keywords = "Brittle, Cracks, Fractal fracture, Self-affine",

author = "Ivan Campos and A. Balankin and O. Bautista and G. Ram{\'i}rez",

note = "Funding Information: This work has been supported by a research grant no. 42883/A-1 of Consejo Nacional de Ciencia y Tecnolog{\'i}a at Mexico. I. Campos thanks the “C{\'a}tedra de Investigaci{\'o}n en Materiales” chair supported by Centro Regional de Investigaci{\'o}n en Materiales of the Sistema Tecnol{\'o}gico de Monterrey. The authors wish to thank Dr. Macario Schettino for his valuable cooperation.",

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doi = "10.1016/j.tafmec.2005.06.007",

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volume = "44",

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journal = "Theoretical and Applied Fracture Mechanics",

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T1 - Self-affine cracks in a brittle porous material

AU - Campos, Ivan

AU - Balankin, A.

AU - Bautista, O.

AU - Ramírez, G.

N1 - Funding Information: This work has been supported by a research grant no. 42883/A-1 of Consejo Nacional de Ciencia y Tecnología at Mexico. I. Campos thanks the “Cátedra de Investigación en Materiales” chair supported by Centro Regional de Investigación en Materiales of the Sistema Tecnológico de Monterrey. The authors wish to thank Dr. Macario Schettino for his valuable cooperation.

PY - 2005/11

Y1 - 2005/11

N2 - Fractal mechanics and probabilistic methods are applied to an ideal porous material (gypsum rock). The behavior of the material fracture is brittle in essence, concluding that the lines of fracture propagation have self-affine invariance, due to the high rugosity of the crack developed within a wide but limited length interval of scale in the cracks. The validity of the mechanic equations of self-affine cracks are verified by a comparison between the predictions of self-affine fracture mechanics and the results of standardized mechanical tests, obtaining the fractal fracture toughness of gypsum rock.

AB - Fractal mechanics and probabilistic methods are applied to an ideal porous material (gypsum rock). The behavior of the material fracture is brittle in essence, concluding that the lines of fracture propagation have self-affine invariance, due to the high rugosity of the crack developed within a wide but limited length interval of scale in the cracks. The validity of the mechanic equations of self-affine cracks are verified by a comparison between the predictions of self-affine fracture mechanics and the results of standardized mechanical tests, obtaining the fractal fracture toughness of gypsum rock.

KW - Brittle

KW - Cracks

KW - Fractal fracture

KW - Self-affine

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U2 - 10.1016/j.tafmec.2005.06.007

DO - 10.1016/j.tafmec.2005.06.007

M3 - Artículo

SN - 0167-8442

VL - 44

SP - 187

EP - 191

JO - Theoretical and Applied Fracture Mechanics

JF - Theoretical and Applied Fracture Mechanics

IS - 2

ER -

Self-affine cracks in a brittle porous material

Abstract

Keywords

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