Evaluation of the effective elastic properties of long fiber reinforced composites with interphases

Xu, Yuzhe; Du, Sansan; Xiao, Junhua; Zhao, Qingxin

doi:10.1016/j.commatsci.2012.03.048

Cited by 24 publications

(10 citation statements)

References 16 publications

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“…If no other information is available, the following recommendations can be considered for these two parameters: a = 0.3-0.5, b = 0.4-0.65. No matter the fiber is isotropic or transverse isotropic material, the results of the improvement of bridging model (IBM) agree well with the results of FEM, 8 Recursive Asymptotic Homogenization 18 and Dasgupta and Bhandarkar Model (DBM) 18 in the case of bridging factor a = 0.5 and b = 0.64, as seen from Tables 3 and 4.…”

Section: Numerical Examplessupporting

confidence: 86%

“…5 In many ceramic polymer composites, the third phase is developed by chemical interactions during increased temperature circulation of the processing. 6 The influence of stiffness and volume fraction of interphase on effective material properties of uni-directional fiber composites and randomly distributed spherical particle composites has been studied by Kari et al 7 By the use of the periodic boundary condition, Xu et al 8 proposed a three-phase RVE model for researching the influences of interphase on the effective elastic moduli of FRP. The results show that the longitudinal modulus E 11 is insensitive to interphase volume fraction, while the transverse normal and shear modulus E 22 , G 23 increase with the increase of volume fraction of interphase, and when the value of fiber volume fraction is high, this influence is more significant.…”

Section: Introductionmentioning

confidence: 99%

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Analytical method of dynamic properties of FRP based on micromechanical level

Wen-kai

2015

Chinese Journal of Aeronautics

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A mathematic model is proposed for predicting the dynamic properties of fiber reinforced plastic composites (FRP) with interphase. Dynamic properties mainly include loss factors and elastic moduli. The results of elastic moduli from the present model are compared with other models. Elastic moduli E 11 , E 22 , G 12 , G 23 and loss factors g 11 , g 22 , g 12 and g 23 of FRP are calculated and a study of the effect of elastic modulus E I and loss factor g I of interphase on dynamic properties in FRP is carried out here. In this paper, E 11 linearly increases with E I , but the growth rate is slow. E 22 , G 12 , G 23 increase rapidly for lower value of E I . The longitudinal loss factor g 11 decreases with the increase of E I in the case of g I < 0.0026. But g 11 linearly increases with E I in larger range of g I , g I P 0.0026. On the contrary, transverse loss factor g 22 , transverse shear loss factors g 23 and longitudinal shear loss factors g 12 increase with increase of E I in the case of lower value of g I , but decreases at larger value of g I . And they also show insensitivity to E I at higher value.

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Section: Numerical Examplessupporting

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Analytical method of dynamic properties of FRP based on micromechanical level

Wen-kai

2015

Chinese Journal of Aeronautics

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“…Using the periodicity boundary conditions and the average field theory, Xu et al. 11 applied a three-phase (including interphases) representative volume element (RVE) to study the effect of the interphase on the effective elastic properties of long FRC by FEM. Two-dimensional finite element analyses have been performed by Wang et al.…”

Section: Introductionmentioning

confidence: 99%

“…9 Jiang et al 10 developed a micromechanics unit cell model and performed FEM to study the effective elastic properties of composites reinforced by regularly distributed particles, in which particle interaction and distribution were taken into account by using the strain Green's function. Using the periodicity boundary conditions and the average field theory, Xu et al 11 applied a three-phase (including interphases) representative volume element (RVE) to study the effect of the interphase on the effective elastic properties of long FRC by FEM. Two-dimensional finite element analyses have been performed by Wang et al 12 to study the effects of the interphase properties on both the transverse effective properties and the damage behavior of unidirectional FRC.…”

Section: Introductionmentioning

confidence: 99%

Micromechanics-based analyses of short fiber-reinforced composites with functionally graded interphases

Yang

Dai

et al. 2019

Journal of Composite Materials

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A micromechanical model for short fiber-reinforced composites (SFRCs) with functionally graded interphases and a systematic prediction scheme to determine the effective properties are presented. The matrix and the fibers are regarded to be linear elastic, isotropic, and homogeneous. Fibers are assumed to be ellipsoids coated perfectly by functionally graded interphases, which is supposed to be formed chemically or physically by the constituents near the interface. First, to analyze the grading interphase effect, layer-wise concept is followed to divide the functionally graded interphases into multi-homogeneous sub-layers. Next, to take the effect of functionally graded interphases into account, a combination of multi-inclusion method and Mori–Tanaka method is applied to predict effective elastic properties of this unidirectional SFRCs with respect to the content and aspect ratio of the inclusions. By employing coordinate transformation, spatially elastic moduli are obtained. Finally, Voigt homogenization scheme is used to obtain the overall, averaged, symmetrical elastic properties of the SFRCs. Numerical examples and analyses demonstrate the applicability of the proposed method and indicate the influences of graded interphase, orientation, and aspect ratio of inclusions as well as properties and contents of the constituents on the overall properties of SFRCs.

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“…In addition, for a detailed investigation on the effective elastic properties of continuous fibre reinforced composites, with the concurrent consideration of the boundary interphase concept, one may refer to a previous paper [21]. Finally, in a past paper [22], by the use of a novel homogenization technique on the basis of Finite Element Analysis, a thorough study on the influence of interphase zone on unidirectional fibrous composites was carried out.…”

Section: Introductionmentioning

confidence: 99%

An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach

Venetis¹,

Sideridis²

2018

Fibers

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Abstract:In this paper, the authors introduce an upper bound of the longitudinal elastic modulus of unidirectional fibrous composites to strength of materials approach, provided that the fibre is much stiffer than the matrix. In the mathematical derivations resulting in this bound, the concept of boundary interphase between filler and matrix was also taken into consideration. The novel element of this work is that the authors have not taken into account any particular variation law to approach the stiffness of this intermediate phase. The theoretical predictions were compared with those obtained from some accurate analytical models as well as with experimental data found in the literature, and a satisfactory accordance was observed.

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Evaluation of the effective elastic properties of long fiber reinforced composites with interphases

Cited by 24 publications

References 16 publications

Analytical method of dynamic properties of FRP based on micromechanical level

Analytical method of dynamic properties of FRP based on micromechanical level

Micromechanics-based analyses of short fiber-reinforced composites with functionally graded interphases

An Upper Bound of Longitudinal Elastic Modulus for Unidirectional Fibrous Composites as Obtained from Strength of Materials Approach

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