The prediction on mechanical properties of 4-step braided composites via two-scale method

Yu, Xueping; Cui, Jingzhen

doi:10.1016/j.compscitech.2006.08.028

Cited by 121 publications

(29 citation statements)

References 18 publications

(23 reference statements)

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“…It can be proved that if the basic configuration of cells is symmetrical about ξ i -axis (i = 1, 2, 3), as shown in Fig. 1, then the approximate displacement (11), strains (12) and stresses (13) rapidly converge to the true displacement, strains and stresses as ε → 0.…”

Section: Two-scale Approximate Formulation For Periodical Composite Mmentioning

confidence: 97%

“…From Eqs. (12) and (13) it follows that the distribution of the strains and stresses inside a structure depends on both the macroscopic homogenization displacement u 0 (x) and the small-scale local solutions N α 1 α 2 ···α l m (ξ ) (α 1 , α 2 , . .…”

Section: Two-scale Formulas Of Strains and Stresses In Some Special Smentioning

confidence: 99%

“…It can be applied to evaluating the macroscopic stiffness parameters and solving thermo-elastic problems of this composites. Up to now the literature pertaining to the theoretic prediction of the strength of 3-D woven composites is much limited [12][13][14]. In this paper, we are concerned with the computation of the macroscopic stiffness and strength.…”

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confidence: 99%

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A two-scale method for identifying mechanical parameters of composite materials with periodic configuration

Cui

2006

Acta Mech Sin

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In this paper, a two-scale method (TSM) is presented for identifying the mechanics parameters such as stiffness and strength of composite materials with small periodic configuration. Firstly, a formulation is briefly given for two-scale analysis (TSA) of the composite materials. And then a two-scale computation formulation of strains and stresses is developed by displacement solution with orthotropic material coefficients for three kinds of such composites structures, i.e., the tension column with a square cross section, the bending cantilever with a rectangular cross section and the torsion column with a circle cross section. The strength formulas for the three kinds of structures are derived and the TSM procedure is discussed. Finally the numerical results of stiffness and strength are presented and compared with experimental data. It shows that the TSM method in this paper is feasible and valid for predicting both the stiffness and the strength of the composite materials with periodic configuration.

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Section: Two-scale Approximate Formulation For Periodical Composite Mmentioning

confidence: 97%

Section: Two-scale Formulas Of Strains and Stresses In Some Special Smentioning

confidence: 99%

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A two-scale method for identifying mechanical parameters of composite materials with periodic configuration

Cui

2006

Acta Mech Sin

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“…Chung et al [38] and Zhang et al [39], respectively, extended the asymptotic expansion approach for transient elasto-plastic response and thermodynamic wave propagation in periodic composite materials. Meanwhile, Cui et al proposed a multi-scale method to predict the physical and mechanical properties of periodic composites [40]. For physics field problems of random composite materials, Jikov et al [41] proved the existences of the homogenization coefficients and the homogenization solution.…”

Section: Introductionmentioning

confidence: 99%

The statistical second‐order two‐scale method for mechanical properties of statistically inhomogeneous materials

Han

Cui

2010

Numerical Meth Engineering

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SUMMARYA class of random composite materials with statistically inhomogeneous microstructure, for example, functionally graded materials is considered in this paper. The microstructures inside a component are gradually varying in the statistical sense. In view of this particularity, a novel statistical second-order two-scale (SSOTS) method is presented to predict the mechanical properties, including stiffness, and elastic limit. To develop this method, the microstructures of statistically homogeneous, and inhomogeneous materials are represented. In addition the SSOTS formulas are derived based on normalized cell depending on the position variables by a constructing way, and the algorithm procedure is described. The mechanical properties of the different inhomogeneous materials are evaluated. The numerical results are compared with the experimental findings. It shows that the SSTOS method is effective.

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“…Numerous studies on the mechanical properties of 3D braided composites have been made, including the establishment of structural models [1][2][3][4], the prediction of stiffness and strength properties [5][6][7][8][9], and the investigation of damage and failure mechanisms under various loadings [10][11][12][13][14][15]. In these micromechanical analysis works, only two constituents: the braiding yarn and matrix have been considered while the interface has been ignored.…”

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confidence: 99%

A novel interface constitutive model for prediction of stiffness and strength in 3D braided composites

Zhang

Curiel-Sosa

Bui

2017

Composite Structures

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Please cite this article as: Zhang, C., Curiel-Sosa, J.L., Quoc Bui, T., A novel interface constitutive model for prediction of stiffness and strength in 3D braided composites, Composite Structures (2016), doi: http://dx.doi. org/ 10.1016/j.compstruct.2016.12.042 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Maximum stress criteria and a gradual degradation scheme are applied to predict the damage evolution of yarns and matrix. A user-material subroutine VUMAT based on finite element package ABAQUS/Explicit is developed for these constitutive models. The stiffness and strength properties of 3D braided composites are derived from the calculated stress-strain curves under typical loading cases. The damage mechanism of constituents especially the interface is revealed in these simulation processes. The effects of the interface parameters on the mechanical properties of composites are investigated, which provides a reference for optimizing design and control of the interface properties of 3D braided composites.

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The prediction on mechanical properties of 4-step braided composites via two-scale method

Cited by 121 publications

References 18 publications

A two-scale method for identifying mechanical parameters of composite materials with periodic configuration

A two-scale method for identifying mechanical parameters of composite materials with periodic configuration

The statistical second‐order two‐scale method for mechanical properties of statistically inhomogeneous materials

A novel interface constitutive model for prediction of stiffness and strength in 3D braided composites

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