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