Probabilistic mechanics of self-affine cracks in paper sheets

Alexander S. Balankin; Luis H. Hernandez; C. Guillermo Urriolagoitia; H. Orlando Susarrey; Jesus M. Gonzalez; José Martinez

doi:10.1098/rspa.1999.0417

Probabilistic mechanics of self-affine cracks in paper sheets

Alexander S. Balankin, Luis H. Hernandez, C. Guillermo Urriolagoitia, H. Orlando Susarrey, Jesus M. Gonzalez, José Martinez

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

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

26 Scopus citations

Abstract

Crack mechanics in single-notched sheets of paper is analysed by an approach that combines the concept of virtual crack trajectory ensemble with self-affine crack mechanics formalism. The crack initiation criterion is determined for three kinds of paper. The probability distributions of crack roughness and strength parameters are established. A probabilistic model of self-affine crack propagation in paper is proposed.

Original language	English
Pages (from-to)	2565-2575
Number of pages	11
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	455
Issue number	1987
DOIs	https://doi.org/10.1098/rspa.1999.0417
State	Published - 1999

Keywords

Crack mechanics
Probability
Roughness
Self-affinity

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10.1098/rspa.1999.0417

Cite this

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abstract = "Crack mechanics in single-notched sheets of paper is analysed by an approach that combines the concept of virtual crack trajectory ensemble with self-affine crack mechanics formalism. The crack initiation criterion is determined for three kinds of paper. The probability distributions of crack roughness and strength parameters are established. A probabilistic model of self-affine crack propagation in paper is proposed.",

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AU - Orlando Susarrey, H.

AU - Gonzalez, Jesus M.

AU - Martinez, José

PY - 1999

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AB - Crack mechanics in single-notched sheets of paper is analysed by an approach that combines the concept of virtual crack trajectory ensemble with self-affine crack mechanics formalism. The crack initiation criterion is determined for three kinds of paper. The probability distributions of crack roughness and strength parameters are established. A probabilistic model of self-affine crack propagation in paper is proposed.

KW - Crack mechanics

KW - Probability

KW - Roughness

KW - Self-affinity

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DO - 10.1098/rspa.1999.0417

M3 - Artículo

SN - 1364-5021

VL - 455

SP - 2565

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JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 1987

ER -

Probabilistic mechanics of self-affine cracks in paper sheets

Abstract

Keywords

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