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Finding densities and orientations of cracks and platelets from their traces in cross-sections, in anisotropic cases of non-random orientations. / Vialtseva, Victoria; Pronina, Yulia; Kachanov, Mark.

в: Mechanics of Materials, Том 209, 105447, 01.10.2025.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Vialtseva, V, Pronina, Y & Kachanov, M 2025, 'Finding densities and orientations of cracks and platelets from their traces in cross-sections, in anisotropic cases of non-random orientations', Mechanics of Materials, Том. 209, 105447. https://doi.org/10.1016/j.mechmat.2025.105447

APA

Vialtseva, V., Pronina, Y., & Kachanov, M. (2025). Finding densities and orientations of cracks and platelets from their traces in cross-sections, in anisotropic cases of non-random orientations. Mechanics of Materials, 209, [105447]. https://doi.org/10.1016/j.mechmat.2025.105447

Vancouver

Vialtseva V, Pronina Y, Kachanov M. Finding densities and orientations of cracks and platelets from their traces in cross-sections, in anisotropic cases of non-random orientations. Mechanics of Materials. 2025 Окт. 1;209. 105447. https://doi.org/10.1016/j.mechmat.2025.105447

Author

Vialtseva, Victoria ; Pronina, Yulia ; Kachanov, Mark. / Finding densities and orientations of cracks and platelets from their traces in cross-sections, in anisotropic cases of non-random orientations. в: Mechanics of Materials. 2025 ; Том 209.

BibTeX

@article{4e90521731284c99a95ef55b9568fb82,
title = "Finding densities and orientations of cracks and platelets from their traces in cross-sections, in anisotropic cases of non-random orientations",
abstract = "The effect of cracks on the overall elastic and conductive properties is controlled by the crack density parameter; it is a scalar in the case of random crack orientations and a tensor in anisotropic cases of non-random orientations. It also applies to thin platelets in matrix composites. In the present work, this 3D tensor parameter is determined analytically from the 2D densities and orientations of crack traces in cross-sections or specimen boundaries, in anisotropic cases of one or several families of parallel cracks. The theoretical results on the 3D-2D connections are compared with numerical simulations. This work supplements a substantial literature on 3D-2D-1D connections for materials with inhomogeneities other than cracks (pores, various foreign particles, etc.)",
keywords = "2D–3D relation, Crack density, Crack orientations, Crack traces, Matrix composites, Platelets",
author = "Victoria Vialtseva and Yulia Pronina and Mark Kachanov",
year = "2025",
month = oct,
day = "1",
doi = "10.1016/j.mechmat.2025.105447",
language = "English",
volume = "209",
journal = "Mechanics of Materials",
issn = "0167-6636",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Finding densities and orientations of cracks and platelets from their traces in cross-sections, in anisotropic cases of non-random orientations

AU - Vialtseva, Victoria

AU - Pronina, Yulia

AU - Kachanov, Mark

PY - 2025/10/1

Y1 - 2025/10/1

N2 - The effect of cracks on the overall elastic and conductive properties is controlled by the crack density parameter; it is a scalar in the case of random crack orientations and a tensor in anisotropic cases of non-random orientations. It also applies to thin platelets in matrix composites. In the present work, this 3D tensor parameter is determined analytically from the 2D densities and orientations of crack traces in cross-sections or specimen boundaries, in anisotropic cases of one or several families of parallel cracks. The theoretical results on the 3D-2D connections are compared with numerical simulations. This work supplements a substantial literature on 3D-2D-1D connections for materials with inhomogeneities other than cracks (pores, various foreign particles, etc.)

AB - The effect of cracks on the overall elastic and conductive properties is controlled by the crack density parameter; it is a scalar in the case of random crack orientations and a tensor in anisotropic cases of non-random orientations. It also applies to thin platelets in matrix composites. In the present work, this 3D tensor parameter is determined analytically from the 2D densities and orientations of crack traces in cross-sections or specimen boundaries, in anisotropic cases of one or several families of parallel cracks. The theoretical results on the 3D-2D connections are compared with numerical simulations. This work supplements a substantial literature on 3D-2D-1D connections for materials with inhomogeneities other than cracks (pores, various foreign particles, etc.)

KW - 2D–3D relation

KW - Crack density

KW - Crack orientations

KW - Crack traces

KW - Matrix composites

KW - Platelets

UR - https://www.mendeley.com/catalogue/bd972988-b971-37f9-b072-bf87dd4beac9/

U2 - 10.1016/j.mechmat.2025.105447

DO - 10.1016/j.mechmat.2025.105447

M3 - Article

VL - 209

JO - Mechanics of Materials

JF - Mechanics of Materials

SN - 0167-6636

M1 - 105447

ER -

ID: 138607349