TY - JOUR
T1 - Transition from small crack to large crack for composite materials (BEM analysis on transversely reinforced composite plate with a Mode I center crack in matrix)
AU - Sakaguchi, Shohei
AU - Ejima, Tsuneyuki
AU - Tada, Naoya
AU - Kitamura, Takayuki
AU - Ohitani, Ryuichi
PY - 1997
Y1 - 1997
N2 - Stress analysis is conducted for a traversely reinforced composite with a Model I crack in plane strain condition using the boundary element method (BEM). The crack is introduced in the matrix at the center of the layered composite plate. The results obtained are summarized as follows. (1) When the normalized crack length, a* = a/d, (a: crack length, d: thickness of matrix layer) is much smaller than unity, the high stress region near the crack tip is confined to the matrix. The magnitude of stress intensity factor (SIF), K, is close to K0 for a homogeneous body composed of a single matrix material. The crack is called a small crack for composite materials. (2) As a* becomes longer, the normalized SIF, K* = K/K0, decreases due to the constraint by the adjacent fibers. K* shows a minimum near a* = 1 and increases when a* increases. (3) K* tends to be saturated as a* exceeds 5. The energy release rate calculated by the asymptotic magnitude of K* coincides with that of the homogeneous orthotropic body where the elastic constants are determined by a mixture of those in the matrix and fibers. The crack is called a large crack for composite materials.
AB - Stress analysis is conducted for a traversely reinforced composite with a Model I crack in plane strain condition using the boundary element method (BEM). The crack is introduced in the matrix at the center of the layered composite plate. The results obtained are summarized as follows. (1) When the normalized crack length, a* = a/d, (a: crack length, d: thickness of matrix layer) is much smaller than unity, the high stress region near the crack tip is confined to the matrix. The magnitude of stress intensity factor (SIF), K, is close to K0 for a homogeneous body composed of a single matrix material. The crack is called a small crack for composite materials. (2) As a* becomes longer, the normalized SIF, K* = K/K0, decreases due to the constraint by the adjacent fibers. K* shows a minimum near a* = 1 and increases when a* increases. (3) K* tends to be saturated as a* exceeds 5. The energy release rate calculated by the asymptotic magnitude of K* coincides with that of the homogeneous orthotropic body where the elastic constants are determined by a mixture of those in the matrix and fibers. The crack is called a large crack for composite materials.
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U2 - 10.1299/kikaia.63.2077
DO - 10.1299/kikaia.63.2077
M3 - Article
AN - SCOPUS:0031249467
VL - 63
SP - 2077
EP - 2083
JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
SN - 0387-5008
IS - 614
ER -