Two-step homogenization of textile composites using mechanics of structure genome

Liu, Xin; Rouf, Khizar; Peng, Bo; Yu, Wenbin

doi:10.1016/j.compstruct.2017.03.029

Cited by 116 publications

(39 citation statements)

References 26 publications

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“…By solving the cell problems imposed with the periodic boundary conditions according to the homogenization technique (8; 22), one finds the effective coefficients in the homogenized cross-sectional problems, which can then be solved analytically or numerically (cf. also (20)). The aim of this paper is to derive and solve the cell and homogenized cross-sectional problems for unidirectional FRC beams whose cross section has the periodic microstructure.…”

Section: Introductionmentioning

confidence: 87%

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Asymptotically exact theory of fiber-reinforced composite beams

Tran

2020

Composite Structures

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An asymptotic analysis of the energy functional of a fiber-reinforced composite beam with a periodic microstructure in its cross section is performed. From this analysis the asymptotically exact energy as well as the 1-D beam theory of first order is derived. The effective stiffnesses of the beam are calculated in the most general case from the numerical solution of the cell and homogenized cross-sectional problems.

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Section: Introductionmentioning

confidence: 87%

“…Due to our choice of the origin, y α = 0. Therefore the chosen field (20) satisfies the constraints (5) 1,2 . It is easy to check that the transverse energy evaluated atw α vanishes identically.…”

Section: Homogenizationmentioning

confidence: 99%

Asymptotically exact theory of fiber-reinforced composite beams

Tran

2020

Composite Structures

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“…The experimental mechanics-based approach adopted in this study for verifying the RVE concept is very general, while the technical literature usually focuses on determining the proper homogenization scheme as well as on the RVE shape and size to be used in specific homogenization-based computations on heterogeneous materials such as, for example, composite materials reinforced by fibers, random fibers, textures, or randomly distributed inclusions [15][16][17][18][19][20]. Regarding the specific application of optical methods to RVE analysis, it should be mentioned that digital image correlation was recently used for multiscale investigation on woven composites [21,22].…”

Section: Introductionmentioning

confidence: 99%

Verification of Continuum Mechanics Predictions with Experimental Mechanics

2019

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The general goal of the study is to connect theoretical predictions of continuum mechanics with actual experimental observations that support these predictions. The representative volume element (RVE) bridges the theoretical concept of continuum with the actual discontinuous structure of matter. This paper presents an experimental verification of the RVE concept. Foundations of continuum kinematics as well as mathematical functions relating displacement vectorial fields to the recording of these fields by a light sensor in the form of gray-level scalar fields are reviewed. The Eulerian derivative field tensors are related to the deformation of the continuum: the Euler-Almansi tensor is extracted, and its properties are discussed. The compatibility between the Euler-Almansi tensor and the Cauchy stress tensor is analyzed. In order to verify the concept of the RVE, a multiscale analysis of an Al-SiC composite material is carried out. Furthermore, it is proven that the Euler-Almansi strain tensor and the Cauchy stress tensor are conjugate in the Hill-Mandel sense by solving an identification problem of the constitutive model of urethane rubber.

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“…First approaches regarding the mechanical response of fabric reinforced polymer composites were taking into account the waviness of fabrics as a parameter to describe the lowered values of elastic parameters or the hypothesis that a fabric might be described as a superposition of two orthotropic plies rotated at 90° and with some geometric corrections [16][17][18][19]. Last approaches are using the observation that, generally, when a fabric reinforced laminate is formed there appears differences between the ply thickness and laminate thickness namely the thickness of the laminate is lower than the ply thickness multiplied by number of plies.…”

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confidence: 99%

Tensile Behaviour of Fabric Reinforced Laminates and Plies

Capatina¹,

Bria²,

Bunea³

et al. 2019

Mat.Plast.

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The present paper is concerning to an empirical analysis of tensile properties of plies and laminates formed with an epoxy matrix and with various carbon fiber fabrics. The analysis was started with the aim of finding some correlations between the elastic parameters of plies and elastic parameters of laminates when fabrics are used as reinforcements. Six different carbon fiber fabrics were used to analyze the plies and laminates mechanical parameters. The epoxy system Epiphen RE-4020-DE4020 was used in both cases as matrix. The mechanical response to tensile test was analyzed for above mentioned materials and the results had been compared with values obtained by application of various purposed models.

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Two-step homogenization of textile composites using mechanics of structure genome

Cited by 116 publications

References 26 publications

Asymptotically exact theory of fiber-reinforced composite beams

Asymptotically exact theory of fiber-reinforced composite beams

Verification of Continuum Mechanics Predictions with Experimental Mechanics

Tensile Behaviour of Fabric Reinforced Laminates and Plies

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