Effective mechanical properties of “fuzzy fiber” composites

Chatzigeorgiou, Georges; Seidel, Gary D.; Lagoudas, Dimitris C.

doi:10.1016/j.compositesb.2012.03.001

Cited by 69 publications

(44 citation statements)

References 53 publications

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“…This permits to identify analytical solutions as a function of the unknown property, which is calculated with the help of energetic criteria. Computational details for the application of the composite cylinders method can be found in various papers (Christensen and Lo, 1979;Christensen, 1990;Seidel and Lagoudas, 2006;Seidel, 2007;Chatzigeorgiou et al, 2012).…”

Section: Accepted Manuscriptmentioning

confidence: 99%

“…In order to obtain the effective elastic properties of the bundles, the Composite Cylinders Method (CCM for brevity) is utilized in the manner employed by, among others, Seidel and Lagoudas (2006);Seidel (2007); Chatzigeorgiou et al (2012). The length of the fibers is of mm order, whereas the diameter of the fibers is of µm.…”

Section: A Elastic Response Of Bundlesmentioning

confidence: 99%

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Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites

Anagnostou

Chatzigeorgiou

Chemisky

et al. 2018

Composites Part B: Engineering

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThe aim of this paper is to study, through a multiscale analysis, the viscoelastic behavior of glass reinforced sheet molding compound (SMC) composites and SMC-hybrid composites mixing two types of bundle reinforcement: glass and carbon fibers. SMC exhibit more than two distinct characteristic length scales, so that a sequence of scale transitions is required to obtain the overall behavior of the composite. An analytical procedure is used consisting of properly selected well-established micromechanical methods like the Mori-Tanaka (MTM) and the composite cylinders (CCM) accounting for each scale transition. After selecting a representative volume element (RVE) for each scale, the material response of any given length scale is described on the basis of the homogenized behavior of the next finer one. This hierarchical approach is appropriately extended to the viscoelastic domain to account for the time dependent overall response of the SMC composite material. The anisotropic damage has been introduced through a micromechanical model considering matrix penny-shape microcrack density inside bundles. The capabilities of the hierarchical modeling are illustrated with various parametric studies and simulation of experimental data for glass-based SMC composites.

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Section: Accepted Manuscriptmentioning

confidence: 99%

Section: A Elastic Response Of Bundlesmentioning

confidence: 99%

Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites

Anagnostou

Chatzigeorgiou

Chemisky

et al. 2018

Composites Part B: Engineering

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“…Recently, Ray (2011, 2012) derived micromechanics models for estimating all the effective elastic coefficients of novel fuzzy fiber-reinforced composite (FFRC). Chatzigeorgiou et al (2012) also estimated the effective mechanical properties of fuzzy fiber composite employing the composite cylinder method. Lanzara and Chang (2009) designed and fabricated the piezoelectric ceramic discs coated with vertically aligned CNTs.…”

Section: Introduction To Smart Fuzzy Fiber-reinforced Compositementioning

confidence: 99%

Smart Fuzzy Fiber-Reinforced Piezoelectric Composites

Ray

2016

Advances in Nanocomposites

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In this chapter analytical micromechanics model of a novel smart fuzzy fiber-reinforced composite (SFFRC) has been derived. The novel constructional feature of such SFFRC is that the existing vertically reinforced 1-3 piezoelectric composite has been hybridized by radially growing carbon nanotubes (CNTs) on the surface of the cylindrical vertical piezoelectric fibers. The model predicts that the effective in-plane piezoelectric coefficient and the elastic properties of such SFFRC are significantly improved over those of the existing 1-3 piezoelectric composite without reinforced with CNTs. Piezoelectric EffectsPiezoelectric effect is an electromechanical coupling phenomenon exhibited by non-centrosymmetric dielectric materials. These materials do not possess inversion symmetry. This means that the inversion of the atomic positions alters the original crystalline structure, and different equilibrium positions of charges are associated with different polarization. Such polarization is called the piezoelectricity. Two types of piezoelectric effects exist in the piezoelectric materials. One of the effects by virtue of which the conversion of the mechanical energy into the electric energy occurs when the piezoelectric materials are deformed upon mechanical stimulus is called the direct piezoelectric effect. The other effect is called the converse piezoelectric effect by virtue of which piezoelectric materials are deformed due to the application of the electric field resulting in the conversion of the electrical energy into the mechanical energy. To exhibit piezoelectric effect, piezoelectric materials must be poled. Normally, a piezoelectric material has electric dipoles which are randomly oriented. When it is heated above a certain temperature called the Curie temperature and is subjected to a very strong electric field, the electric dipoles

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“…However, neglecting the interaction of particles is an unrealistic assumption of Eshelby for materials with randomly dispersed particulate microstructure, even at a few percent volume fraction [89]. Further proposed models such as Mori-Tanaka [90][91][92], the self-consistent scheme [93][94][95][96][97][98], the generalized self-consistent scheme [99][100][101][102][103], and the differential method [104,105] are mainly based on the mean-field approximation [106] and approximate the interaction between the phases. The extension of these models to account for the electroelastic behavior of composite materials was addressed by Dunn and Taya [107].…”

Section: Introductionmentioning

confidence: 99%

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

Saeb

Steinmann

Javili

2016

Applied Mechanics Reviews

185

138

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The objective of this contribution is to present a unifying review on strain-driven computational homogenization at finite strains, thereby elaborating on computational aspects of the finite element method. The underlying assumption of computational homogenization is separation of length scales, and hence, computing the material response at the macroscopic scale from averaging the microscopic behavior. In doing so, the energetic equivalence between the two scales, the Hill-Mandel condition, is guaranteed via imposing proper boundary conditions such as linear displacement, periodic displacement and antiperiodic traction, and constant traction boundary conditions. Focus is given on the finite element implementation of these boundary conditions and their influence on the overall response of the material. Computational frameworks for all canonical boundary conditions are briefly formulated in order to demonstrate similarities and differences among the various boundary conditions. Furthermore, we detail on the computational aspects of the classical Reuss' and Voigt's bounds and their extensions to finite strains. A concise and clear formulation for computing the macroscopic tangent necessary for FE 2 calculations is presented. The performances of the proposed schemes are illustrated via a series of two-and three-dimensional numerical examples. The numerical examples provide enough details to serve as benchmarks.

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Effective mechanical properties of “fuzzy fiber” composites

Cited by 69 publications

References 53 publications

Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites

Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites

Smart Fuzzy Fiber-Reinforced Piezoelectric Composites

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

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