Transition from small crack to large crack for composite materials (BEM analysis on transversely reinforced composite plate with an interface crack)

Tsuneyuki Ejima, Shohei Sakaguchi, Naoya Tada, Takayuki Kitamura, Ryuichi Ohtani

Research output: Contribution to journalArticle

Abstract

Stress analysis was conducted for a traversely reinforced composite plate with an interface crack at the center under tension in plane strain condition by the boundary element method (BEM). 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 magnitude of stress intensity factors (SIFs), K1, K2, and Ki = (K12+K22)1/2, are close to the SIFs for an interface crack in a dissimilar infinite body. The crack is termed as the small crack for composite materials. (2) As a* becomes larger, the normalized SIF, K*i decreases and shows the minimum near a* = 1, where Ki* is the SIF, Ki, divided by the SIF for a homogeneous orthotropic body composed of a Mode I crack, K1h. It increases and converges on a constant value as a* increases. (3) The energy release rate calculated from the convergent Ki* coincides with that of the crack in a homogeneous orthotropic body where the elastic constants are determined by a mixture of those in the matrix and fibers. The crack is termed as the large crack for composite materials. (4) Since the region of oscillated stress distribution is confined in the vicinity of the crack tip, the stress intensity is represented by Ki, of which values are nearly equal to the SIF of the large crack in a homogeneous orthotropic body.

Original languageEnglish
Pages (from-to)2338-2344
Number of pages7
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume63
Issue number615
Publication statusPublished - Nov 1997
Externally publishedYes

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Boundary element method
Cracks
Composite materials
Stress intensity factors
Energy release rate
Elastic constants
Stress analysis
Crack tips
Stress concentration
Fibers

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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title = "Transition from small crack to large crack for composite materials (BEM analysis on transversely reinforced composite plate with an interface crack)",
abstract = "Stress analysis was conducted for a traversely reinforced composite plate with an interface crack at the center under tension in plane strain condition by the boundary element method (BEM). 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 magnitude of stress intensity factors (SIFs), K1, K2, and Ki = (K12+K22)1/2, are close to the SIFs for an interface crack in a dissimilar infinite body. The crack is termed as the small crack for composite materials. (2) As a* becomes larger, the normalized SIF, K*i decreases and shows the minimum near a* = 1, where Ki* is the SIF, Ki, divided by the SIF for a homogeneous orthotropic body composed of a Mode I crack, K1h. It increases and converges on a constant value as a* increases. (3) The energy release rate calculated from the convergent Ki* coincides with that of the crack in a homogeneous orthotropic body where the elastic constants are determined by a mixture of those in the matrix and fibers. The crack is termed as the large crack for composite materials. (4) Since the region of oscillated stress distribution is confined in the vicinity of the crack tip, the stress intensity is represented by Ki, of which values are nearly equal to the SIF of the large crack in a homogeneous orthotropic body.",
author = "Tsuneyuki Ejima and Shohei Sakaguchi and Naoya Tada and Takayuki Kitamura and Ryuichi Ohtani",
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T1 - Transition from small crack to large crack for composite materials (BEM analysis on transversely reinforced composite plate with an interface crack)

AU - Ejima, Tsuneyuki

AU - Sakaguchi, Shohei

AU - Tada, Naoya

AU - Kitamura, Takayuki

AU - Ohtani, Ryuichi

PY - 1997/11

Y1 - 1997/11

N2 - Stress analysis was conducted for a traversely reinforced composite plate with an interface crack at the center under tension in plane strain condition by the boundary element method (BEM). 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 magnitude of stress intensity factors (SIFs), K1, K2, and Ki = (K12+K22)1/2, are close to the SIFs for an interface crack in a dissimilar infinite body. The crack is termed as the small crack for composite materials. (2) As a* becomes larger, the normalized SIF, K*i decreases and shows the minimum near a* = 1, where Ki* is the SIF, Ki, divided by the SIF for a homogeneous orthotropic body composed of a Mode I crack, K1h. It increases and converges on a constant value as a* increases. (3) The energy release rate calculated from the convergent Ki* coincides with that of the crack in a homogeneous orthotropic body where the elastic constants are determined by a mixture of those in the matrix and fibers. The crack is termed as the large crack for composite materials. (4) Since the region of oscillated stress distribution is confined in the vicinity of the crack tip, the stress intensity is represented by Ki, of which values are nearly equal to the SIF of the large crack in a homogeneous orthotropic body.

AB - Stress analysis was conducted for a traversely reinforced composite plate with an interface crack at the center under tension in plane strain condition by the boundary element method (BEM). 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 magnitude of stress intensity factors (SIFs), K1, K2, and Ki = (K12+K22)1/2, are close to the SIFs for an interface crack in a dissimilar infinite body. The crack is termed as the small crack for composite materials. (2) As a* becomes larger, the normalized SIF, K*i decreases and shows the minimum near a* = 1, where Ki* is the SIF, Ki, divided by the SIF for a homogeneous orthotropic body composed of a Mode I crack, K1h. It increases and converges on a constant value as a* increases. (3) The energy release rate calculated from the convergent Ki* coincides with that of the crack in a homogeneous orthotropic body where the elastic constants are determined by a mixture of those in the matrix and fibers. The crack is termed as the large crack for composite materials. (4) Since the region of oscillated stress distribution is confined in the vicinity of the crack tip, the stress intensity is represented by Ki, of which values are nearly equal to the SIF of the large crack in a homogeneous orthotropic body.

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