Stress concentrations near a fiber break in unidirectional composites with interfacial slip and matrix yielding

Ohno, Nobutada; Okabe, Sayaka; Okabe, Tomonaga

doi:10.1016/j.ijsolstr.2004.03.018

Cited by 20 publications

(24 citation statements)

References 22 publications

(26 reference statements)

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“…Microdamage analysis of fibrous composites has received considerable attention in recent years. [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] Herrera-Franco et al studied radial stresses at the interface during the fiber pulled out from the droplet using FEA analysis. [5] Sirivedin et al derived an analytical expression to estimate the…”

Section: Introductionmentioning

confidence: 99%

Influence of Interfacial Properties on Crack Propagation in Fiber‐Reinforced Polymer Matrix Composites

Sun

Jia

et al. 2008

Macro Materials & Eng

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Dynamic crack propagation routes in composites were investigated using numerical methods. The interfacial strength was characterized by means of the interfacial nodal constrained failure. Five different micro‐damage modes around a broken fiber and the corresponding stress/strain curves were obtained with the interfacial strength increasing. It was proved that the shear stress concentration region appears to be different as the interface varying from weak to strong and that the recovery of fiber load‐supporting with a strong interface is better than that with a weak interface. Experimental work has been done and the available results agree well with corresponding simulation results.

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Section: Introductionmentioning

confidence: 99%

Influence of Interfacial Properties on Crack Propagation in Fiber‐Reinforced Polymer Matrix Composites

Sun

Jia

et al. 2008

Macro Materials & Eng

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“…in which κ 1 = ψ (1) 0 , J, ψ (4) 0 , κ 2 = ψ (2) 0 , J, ψ (5) 0 , κ 3 = ψ (3) 0 , J, ψ (6) 0 . Thus zero eigenfunctions satisfy the adjoint relationships of the symplectic orthogonality:…”

Section: The Adjoint Relationships Of the Symplectic Orthogonality Bementioning

confidence: 99%

“…Recently, a considerable effort has been devoted to developing the theories about the strength and toughness of the fiber reinforced composites [1,2], since it is essential to understand how stresses are transferred at the interface of the composites. Aveston and Kelly [3] assumed that a constant shear stress acted at the fiber-matrix interface.…”

Section: Introductionmentioning

confidence: 99%

The symplectic system method in the stress analysis of 2D elasto-viscoelastic fiber reinforced composites

Zhang

Xü

2009

Arch Appl Mech

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With the aid of the variational method and Laplace transformation, the symplectic system method is employed into two-dimensional elastic-viscoelastic fiber reinforced composites. The fundamental eigenfunctions of the governing equations are generalized to the time domain. Therefore the problem can be discussed directly in the time domain, and the iterative application of Laplace transformation is not needed. Using this method, all the stress components of the inner fiber and outer matrix, and hence the stress transfer in the interface between the fiber and matrix, are expressed analytically. The results obtained by the approach are accurate, because all the boundary conditions prescribed on the surfaces and ends of the composites can be satisfied. Numerical example demonstrate that both the shear stress and the normal stress decrease with time due to the viscoelastic property of the matrix, and that stress concentration occurs near the end.

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“…The low shear strength of composites with weak interfaces actually diminishes stress concentrations in fibers adjacent to breaks and thus damage in the fibers occurs in an uncoordinated manner (He et al, 1993;Du and McMeeking, 1994). Analytical solutions for the stress concentrations around fiber breaks were given in Landis and McMeeking (1999) and Ohno et al (2004b). Curtin (1991) established, under global load sharing rule, fiber failure stochastics for time-independent fibers dependent upon the gauge length and a constant shear stress across the slipped portion of the interface.…”

Section: Introductionmentioning

confidence: 99%

On the effect of fiber creep-compliance in the high-temperature deformation of continuous fiber-reinforced ceramic matrix composites

Baxevanis

Plexousakis

2010

International Journal of Solids and Structures

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a b s t r a c tCreep models for unidirectional ceramic matrix composites reinforced by long creeping fibers with weak interfaces are presented. These models extend the work of Du and McMeeking (1995) [Du, Z., McMeeking, R. 1995. Creep models for metal matrix composites with long brittle fibers. J. Mech. Phys. Solids 43, 701-726] to include the effect of fiber primary creep present in the required operational temperatures for ceramic matrix composites (CMCs). The effects of fiber breaks and the consequential stress relaxation around the breaks are incorporated in the models under the assumption of global load sharing and time-independent stochastics for fiber failure. From the set of problems analyzed, it is found that the high-temperature deformation of CMCs is sensitive to the creep-compliance of the fibers. High fiber creep-compliance drives the composite to creep faster, leading however to greater lifetimes and greater overall strains at rupture. This behavior is attributed to the fact that the greater the creep-compliance of the fibers, the higher the creep rate but the slower the matrix stress relaxation -since the matrix must deform with a rate compatible with the more creep-resistant fibers -and therefore the less the load carried by the main load-bearing phase, the fibers. As a result, fewer fibers fail and less damage is accumulated in the system. Moreover, the greater the creep-compliance of the fibers, the slower the matrix shear stress relaxation -and thus the lower the levels of applied stress for which this effect becomes important. The slower the shear stress relaxes, the slower the ''slip" length increases. Due to the Weibull nature of the fibers, the fiber strengths at the smaller gauge length of the slip length are stronger; therefore fewer fibers undergo damage. Hence, high fiber creep-compliance is desirable (in the absence of any explicit creep-damage mechanism) in terms of composite lifetime but not in terms of overall strain. These results are considered of importance for composite design and optimization.

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Stress concentrations near a fiber break in unidirectional composites with interfacial slip and matrix yielding

Cited by 20 publications

References 22 publications

Influence of Interfacial Properties on Crack Propagation in Fiber‐Reinforced Polymer Matrix Composites

Influence of Interfacial Properties on Crack Propagation in Fiber‐Reinforced Polymer Matrix Composites

The symplectic system method in the stress analysis of 2D elasto-viscoelastic fiber reinforced composites

On the effect of fiber creep-compliance in the high-temperature deformation of continuous fiber-reinforced ceramic matrix composites

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