Fibre/matrix stress transfer through a discrete interphase. Part 1: single-fibre model composites

Hayes, Shannon; Lane, Ryan J.; Jones, Frank R.

doi:10.1016/s1359-835x(00)00127-5

Cited by 49 publications

(31 citation statements)

References 15 publications

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“…, 1) 1×k . Equation (10) shows that, when cells at the front of the del-zone fail at stretching limit l, elements in the first row of matrix D turn into zeros. Otherwise, the stretching process of the del-zone continues.…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

“…Using the method of unit cells, Gardner et al [1] and Low et al [2] formulated a micromechanical model to characterize the three-phase composites that contain either a homogeneous interphase [1] or a heterogeneous one with property gradients [9] in the thickness direction. Applying fragmentation tests, Hayes et al [10,11] assessed the effect of interphase on the load transfer from matrix to a single fibre. Usually, these models involve complex FEM analysis, requiring a lot of computing resources when dealing with problems involving complex structures and intricate geometry, or nonlinear phenomena.…”

Section: Introductionmentioning

confidence: 99%

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Stochastic modelling of tear behaviour of coated fabrics

Zhong

Pan

Lukáš

2004

Modelling Simul. Mater. Sci. Eng.

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A stochastic approach, using the Ising model combined with the Monte Carlo simulation, is employed to study the phenomenon of tongue tear failure in coated fabrics. The complicated mechanisms involved can be realistically simulated with a relatively simple algorithm. The important factors, especially the effects of the interphase between the coating and the fabric, and the stretched part of the material at the crack front (the del-zone) can be represented by corresponding coefficients in the Hamiltonian expression of the system. The minimization of the system Hamiltonian yields the most likely new steps for crack propagation, while the Monte Carlo method is used to select the one that will actually occur, reflecting the stochastic nature in the behaviour of real systems, indicating the usefulness of this approach in studies of similar interfacial phenomena. However, this model like many others needs to be calibrated based on data from a real system for quantitative and accurate predictions.

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Section: Monte Carlo Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stochastic modelling of tear behaviour of coated fabrics

Zhong

Pan

Lukáš

2004

Modelling Simul. Mater. Sci. Eng.

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“…For simplicity, the interphase in many micromechanical models is assumed to be a homogeneous material (Christensen and Lo, 1979;Hashin, 1990;Hayes et al, 2001;Qiu and Weng, 1991;Rjafiallah et al, 2010;Tsai et al, 1990), or divided into many homogeneous sub-layers with different properties Mogilevskaya and Crouch, 2004;Wang et al, 2006). More realistic and accurate models regard the interphase as an inhomogeneous region with mechanical properties varying continuously in the thickness direction (Huang and Rokhlin, 1996;Reifsnider, 1992, 1993;Kiritsi and Anifantis, 2001;Low et al, 1995;Lutz and Zimmerman, 2005;Romanowicz, 2010;Shen and Li, 2003), in which several empirical laws, such as power, linear and exponential ones, are used to describe the variations of the elastic modulus, Poisson's ratio or thermal expansion coefficient.…”

Section: Introductionmentioning

confidence: 99%

“…Though a lot of attention has been paid to the effects of interphase properties on the stress transfer in a fiber-reinforced composite, most of them are numerical studies (Hayes et al, 2001;Kiritsi and Anifantis, 2001;Needleman et al, 2010;Wu et al, 1997). As for theoretical researches, the shear-lag model (Cox, 1952) is always chosen as a simple and effective approach, based on which a three-dimensional cylindrical or three-phase shear-lag model was often adopted (Afonso and Ranalli, 2005;Fu et al, 2000a,b;Monette et al, 1993;Tsai et al, 1990;Zhang and He, 2008).…”

Section: Introductionmentioning

confidence: 99%

The effect of a graded interphase on the mechanism of stress transfer in a fiber-reinforced composite

Yin

Chen

2013

Mechanics of Materials

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a b s t r a c tBased on an improved shear-lag model, the effect of an inhomogeneous interphase on the mechanism of stress transfer in fiber-reinforced composites is investigated. The inhomogeneity of the interphase is represented by the graded feature of the Young's modulus varying according to a power law or a linear one in the radius direction, while the Poisson's ratio and thermal expansion coefficient are assumed to be constants. Considering the effects of the inhomogeneous interphase as well as the Poisson's contraction and thermal residual stress, closed-form solutions to the axial fiber stress and interfacial shear stress are obtained analytically. Comparing the case with a power law to that with a linear one, we find that the fiber stress increases significantly in the former case, while it decreases slightly in the latter one with an increasing interphase thickness. With the same external tensile load and interphase thickness, it is found that the fiber in the power law case is subjected to a larger tensile stress than that in the linear variation one. However, the interfacial shear stress is not sensitive to the interphase thickness in both cases, except that near the two ends of fiber. Under the same external load, the maximum shear stress in the interphase is much smaller in the latter than that in the former. All the phenomena can be characterized by one parameter, i.e., the average Young's modulus of interphase, and denote that an interphase with a power variation law is more effective for stress transfer while the linearly graded one is more advantageous to avoid shear failure. The results should be helpful for engineers to properly design the interphase in novel composites, e.g. a carbon-fiber reinforced epoxy one.

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“…Therefore, a proper balance between interphase stiffness and ductility is critical for optimizing the design of composites with the desired mechanical properties [19]. Furthermore, the interphase thickness plays a major role in the rate of stress transfer from the matrix to the fiber [20]. All these factors emphasize the importance of quantifying the interphase properties to optimize the final design of composites.…”

Section: Introductionmentioning

confidence: 99%

Nanoscale characterization of interphase properties in maleated polypropylene‐treated natural fiber‐reinforced polymer composites

Nair

Hurley

Wang

et al. 2012

Polymer Engineering & Sci

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Contact resonance force microscopy has been used to evaluate the effect of maleated polypropylene (MAPP) concentration on interphase thickness as well as the spatial distribution of mechanical properties within the interphase of cellulose fiber‐reinforced polypropylene composites. The average interphase thickness values ranged from 25 nm to 104 nm for different concentrations of MAPP. The interphase region showed a gradient in the elastic modulus, with a gradual decrease in modulus from fiber to matrix. The interphase region in the specimen containing 0% MAPP showed a narrow interphase with steep gradient in modulus from fiber to matrix, whereas the use of MAPP significantly increased the interphase thickness which resulted in a more gradual change in modulus from fiber to matrix. POLYM. ENG. SCI., 2013. © Society of Plastics Engineers

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Fibre/matrix stress transfer through a discrete interphase. Part 1: single-fibre model composites

Cited by 49 publications

References 15 publications

Stochastic modelling of tear behaviour of coated fabrics

Stochastic modelling of tear behaviour of coated fabrics

The effect of a graded interphase on the mechanism of stress transfer in a fiber-reinforced composite

Nanoscale characterization of interphase properties in maleated polypropylene‐treated natural fiber‐reinforced polymer composites

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