Premium
The One‐Dimensional Car Parking Problem and Its Application to the Distribution of Spacings between Matrix Cracks in Unidirectional Fiber‐Reinforced Brittle Materials
Author(s) -
Yang Xiao Feng,
Knowles Kevin M.
Publication year - 1992
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1992.tb05456.x
Subject(s) - brittleness , materials science , composite material , matrix (chemical analysis) , fiber , stress (linguistics) , elongation , ultimate tensile strength , linguistics , philosophy
Experimental observations of the spacings between cracks formed in the matrix in unidirectional fiber‐reinforced brittle materials in a situation where a tensile stress is applied parallel to the lengths of the fibers, and where the fibers have a longer elongation to failure than the matrix, suggest that the distribution of crack spacings does not follow the one expected on the basis of a model where the matrix cracks at a well‐defined single‐valued stress. A simple model which is able to account for this apparent discrepancy between theory and experiment is developed and discussed.