A new fracture mechanics model for multiple matrix cracks of SiC fiber reinforced brittle-matrix composites

T. Okabe; N. Takeda; J. Komotori; M. Shimizu; W. A. Curtin

doi:10.1016/S1359-6454(99)00309-2

A new fracture mechanics model for multiple matrix cracks of SiC fiber reinforced brittle-matrix composites

T. Okabe, N. Takeda, J. Komotori, M. Shimizu, W. A. Curtin

Department of Mechanical Engineering

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

22 Citations (Scopus)

Abstract

A new model is proposed for multiple matrix cracking in order to take into account the role of matrix-rich regions in the cross section in initiating crack growth. The model is used to predict the matrix cracking stress and the total number of matrix cracks. The model converts the matrix-rich regions into equivalent penny shape crack sizes and predicts the matrix cracking stress with a fracture mechanics crack-bridging model. The estimated distribution of matrix cracking stresses is used as statistical input to predict the number of matrix cracks. The results show good agreement with the experimental results by replica observations. Therefore, it is found that the matrix cracking behavior mainly depends on the distribution of matrix-rich regions in the composite.

Original language	English
Pages (from-to)	4299-4309
Number of pages	11
Journal	Acta Materialia
Volume	47
Issue number	17
DOIs	https://doi.org/10.1016/S1359-6454(99)00309-2
Publication status	Published - 1999 Nov 26

Keywords

Brittle fracture
Ceramics
Composites
Fibers

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Ceramics and Composites
Polymers and Plastics
Metals and Alloys

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10.1016/S1359-6454(99)00309-2

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title = "A new fracture mechanics model for multiple matrix cracks of SiC fiber reinforced brittle-matrix composites",

abstract = "A new model is proposed for multiple matrix cracking in order to take into account the role of matrix-rich regions in the cross section in initiating crack growth. The model is used to predict the matrix cracking stress and the total number of matrix cracks. The model converts the matrix-rich regions into equivalent penny shape crack sizes and predicts the matrix cracking stress with a fracture mechanics crack-bridging model. The estimated distribution of matrix cracking stresses is used as statistical input to predict the number of matrix cracks. The results show good agreement with the experimental results by replica observations. Therefore, it is found that the matrix cracking behavior mainly depends on the distribution of matrix-rich regions in the composite.",

keywords = "Brittle fracture, Ceramics, Composites, Fibers",

author = "T. Okabe and N. Takeda and J. Komotori and M. Shimizu and Curtin, {W. A.}",

note = "Funding Information: We thank M. Yanaka, A. Nakai and A. Wada for fruitful discussions on damage evolution. Special thanks are extended to H. Ichikawa and Y. Imai of Nippon Carbon Co. for supplying the specimens and giving useful advice on modeling. W. A. Curtin thanks the US AFOSR for support. ",

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AU - Okabe, T.

AU - Takeda, N.

AU - Komotori, J.

AU - Shimizu, M.

AU - Curtin, W. A.

N1 - Funding Information: We thank M. Yanaka, A. Nakai and A. Wada for fruitful discussions on damage evolution. Special thanks are extended to H. Ichikawa and Y. Imai of Nippon Carbon Co. for supplying the specimens and giving useful advice on modeling. W. A. Curtin thanks the US AFOSR for support.

PY - 1999/11/26

Y1 - 1999/11/26

N2 - A new model is proposed for multiple matrix cracking in order to take into account the role of matrix-rich regions in the cross section in initiating crack growth. The model is used to predict the matrix cracking stress and the total number of matrix cracks. The model converts the matrix-rich regions into equivalent penny shape crack sizes and predicts the matrix cracking stress with a fracture mechanics crack-bridging model. The estimated distribution of matrix cracking stresses is used as statistical input to predict the number of matrix cracks. The results show good agreement with the experimental results by replica observations. Therefore, it is found that the matrix cracking behavior mainly depends on the distribution of matrix-rich regions in the composite.

AB - A new model is proposed for multiple matrix cracking in order to take into account the role of matrix-rich regions in the cross section in initiating crack growth. The model is used to predict the matrix cracking stress and the total number of matrix cracks. The model converts the matrix-rich regions into equivalent penny shape crack sizes and predicts the matrix cracking stress with a fracture mechanics crack-bridging model. The estimated distribution of matrix cracking stresses is used as statistical input to predict the number of matrix cracks. The results show good agreement with the experimental results by replica observations. Therefore, it is found that the matrix cracking behavior mainly depends on the distribution of matrix-rich regions in the composite.

KW - Brittle fracture

KW - Ceramics

KW - Composites

KW - Fibers

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A new fracture mechanics model for multiple matrix cracks of SiC fiber reinforced brittle-matrix composites

Abstract

Keywords

ASJC Scopus subject areas

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