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Estimating concentrations of cracks and platelets from their traces in 2D cross-sections. / Pronina, Yulia; Kachanov, Mark.

In: Mechanics of Materials, Vol. 180, 01.05.2023, p. 104618.

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

Harvard

Pronina, Y & Kachanov, M 2023, 'Estimating concentrations of cracks and platelets from their traces in 2D cross-sections', Mechanics of Materials, vol. 180, pp. 104618. https://doi.org/10.1016/j.mechmat.2023.104618

APA

Pronina, Y., & Kachanov, M. (2023). Estimating concentrations of cracks and platelets from their traces in 2D cross-sections. Mechanics of Materials, 180, 104618. https://doi.org/10.1016/j.mechmat.2023.104618

Vancouver

Pronina Y, Kachanov M. Estimating concentrations of cracks and platelets from their traces in 2D cross-sections. Mechanics of Materials. 2023 May 1;180:104618. https://doi.org/10.1016/j.mechmat.2023.104618

Author

Pronina, Yulia ; Kachanov, Mark. / Estimating concentrations of cracks and platelets from their traces in 2D cross-sections. In: Mechanics of Materials. 2023 ; Vol. 180. pp. 104618.

BibTeX

@article{a9796ae2698f490c96ca259e2e85c828,
title = "Estimating concentrations of cracks and platelets from their traces in 2D cross-sections",
abstract = "The effect of cracks on the overall elastic and conductive properties is expressed in terms of the 3D crack density parameter. Similarly, in composites, the effect of thin platelets (perfectly rigid, in the context of elasticity, or perfect conductor/insulator, in the context of conductivity) on the said properties is expressed in terms of the same parameter. However, it may be difficult to estimate experimentally and it cannot, generally, be related to volume fractions. Its estimation from the 2D density of line traces of cracks/platelets observed on a surface (say, specimen face) is derived in a simple form – thus allowing estimates of the said properties directly from the traces on specimen faces. This 2D–3D relation is verified by direct numerical simulations. The related statistical aspects are discussed.",
keywords = "crack density, Experimental determination, Crack traces, platelets, Composites, 2D–3D relation",
author = "Yulia Pronina and Mark Kachanov",
year = "2023",
month = may,
day = "1",
doi = "10.1016/j.mechmat.2023.104618",
language = "English",
volume = "180",
pages = "104618",
journal = "Mechanics of Materials",
issn = "0167-6636",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Estimating concentrations of cracks and platelets from their traces in 2D cross-sections

AU - Pronina, Yulia

AU - Kachanov, Mark

PY - 2023/5/1

Y1 - 2023/5/1

N2 - The effect of cracks on the overall elastic and conductive properties is expressed in terms of the 3D crack density parameter. Similarly, in composites, the effect of thin platelets (perfectly rigid, in the context of elasticity, or perfect conductor/insulator, in the context of conductivity) on the said properties is expressed in terms of the same parameter. However, it may be difficult to estimate experimentally and it cannot, generally, be related to volume fractions. Its estimation from the 2D density of line traces of cracks/platelets observed on a surface (say, specimen face) is derived in a simple form – thus allowing estimates of the said properties directly from the traces on specimen faces. This 2D–3D relation is verified by direct numerical simulations. The related statistical aspects are discussed.

AB - The effect of cracks on the overall elastic and conductive properties is expressed in terms of the 3D crack density parameter. Similarly, in composites, the effect of thin platelets (perfectly rigid, in the context of elasticity, or perfect conductor/insulator, in the context of conductivity) on the said properties is expressed in terms of the same parameter. However, it may be difficult to estimate experimentally and it cannot, generally, be related to volume fractions. Its estimation from the 2D density of line traces of cracks/platelets observed on a surface (say, specimen face) is derived in a simple form – thus allowing estimates of the said properties directly from the traces on specimen faces. This 2D–3D relation is verified by direct numerical simulations. The related statistical aspects are discussed.

KW - crack density

KW - Experimental determination

KW - Crack traces

KW - platelets

KW - Composites

KW - 2D–3D relation

UR - https://www.mendeley.com/catalogue/04cc094f-ad1d-3f33-8a27-ee945d7be652/

U2 - 10.1016/j.mechmat.2023.104618

DO - 10.1016/j.mechmat.2023.104618

M3 - Article

VL - 180

SP - 104618

JO - Mechanics of Materials

JF - Mechanics of Materials

SN - 0167-6636

ER -

ID: 103855015