Extension of Mori-Tanaka Theorem to Crack Problem: 4th Report, Macroscopic Elastic Moduli of the.Unidirectional Fiber-reinforced Composite Material Containing Matrix Cracking

Extension of Mori-Tanaka Theorem to Crack Problem: 4th Report, Macroscopic Elastic Moduli of the.Unidirectional Fiber-reinforced Composite Material Containing Matrix Cracking

For a unidirectional fiber-reinforced composite material containing matrix cracks, the differential equation for the macroscopic total strain of the material is derived with respect to the crack density by adding only a small amount of cracks into the matrix and by adopting the incremental form of t...

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Veröffentlicht in:TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 2005/01/25, Vol.71(701), pp.149-156
Hauptverfasser: MINAMI, Aki, ARAKI, Shigetoshi, IWAMOTO, Masaharu
Format: Artikel
Sprache:eng ; jpn
Schlagworte:
Aspect Ratio
Crack Density
Elastic Moduli
Fiber-reinforced Composites
Incremental Form of the Mori-Tanaka Theorem
Matrix Cracking
Micromechanics
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container_issue 701
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container_title TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
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creator MINAMI, Aki
ARAKI, Shigetoshi
IWAMOTO, Masaharu
description For a unidirectional fiber-reinforced composite material containing matrix cracks, the differential equation for the macroscopic total strain of the material is derived with respect to the crack density by adding only a small amount of cracks into the matrix and by adopting the incremental form of the Mori-Tanaka theorem to the resultant model of the material. By solving the differential equation, the macroscopic elastic moduli are formulated as a function of crack density. By comparing the resulting macroscopic elastic moduli with those obtained by Taya's method, the range of crack density in which Taya's method is applicable is clarified. This range becomes wider when the volume fraction and the aspect ratio of fibers increase.
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source J-STAGE日本語サイト (Free Access); EZB Electronic Journals Library
subjects Aspect Ratio
Crack Density
Elastic Moduli
Fiber-reinforced Composites
Incremental Form of the Mori-Tanaka Theorem
Matrix Cracking
Micromechanics
title Extension of Mori-Tanaka Theorem to Crack Problem: 4th Report, Macroscopic Elastic Moduli of the.Unidirectional Fiber-reinforced Composite Material Containing Matrix Cracking
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