Modeling and Two-Step Homogenization of Aperiodic Heterogenous 3D Four-Directional Braided Composites

Dhimole, Vivek Kumar; Chen, Yanqin; Cho, Chongdu

doi:10.3390/jcs4040179

Cited by 13 publications

(14 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Limit cases for the present model can be determined when Equations ( 19) and (20) and system (18) are reduced to those that represent a two-and three-phase FRC with parallelogram-like unit cell. In these cases, isotropic or transversely isotropic constituents are considered with real-values elastic properties, as reported by the authors of [11,40,42].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…means that the summation does not include the point (0, 0), see [45]. Finally, replacing Equations ( 13)-( 15) into the interface conditions (Equations ( 7) and ( 8)) and after some mathematical manipulations, we obtain the normal infinity system of linear equations [47] with unknown complex constants α3 a p , in compact form: (18) where…”

Section: Analytical Solution Of the Local Problemsmentioning

confidence: 99%

“…Shu and Stanciulescu [17] proposed an analytical approach using multiscale homogenization to characterize FRCs with imperfect interphase through the shear-lag model. Dhimole et al [18] implemented a multiscale modeling based on homogenization method to predict the accurate mechanical behavior of 3D four-directional braided composites.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effective Complex Properties for Three-Phase Elastic Fiber-Reinforced Composites with Different Unit Cells

et al. 2021

View full text Add to dashboard Cite

The development of micromechanical models to predict the effective properties of multiphase composites is important for the design and optimization of new materials, as well as to improve our understanding about the structure–properties relationship. In this work, the two-scale asymptotic homogenization method (AHM) is implemented to calculate the out-of-plane effective complex-value properties of periodic three-phase elastic fiber-reinforced composites (FRCs) with parallelogram unit cells. Matrix and inclusions materials have complex-valued properties. Closed analytical expressions for the local problems and the out-of-plane shear effective coefficients are given. The solution of the homogenized local problems is found using potential theory. Numerical results are reported and comparisons with data reported in the literature are shown. Good agreements are obtained. In addition, the effects of fiber volume fractions and spatial fiber distribution on the complex effective elastic properties are analyzed. An analysis of the shear effective properties enhancement is also studied for three-phase FRCs.

show abstract

Section: Numerical Resultsmentioning

confidence: 99%

Section: Analytical Solution Of the Local Problemsmentioning

confidence: 99%

See 1 more Smart Citation

Effective Complex Properties for Three-Phase Elastic Fiber-Reinforced Composites with Different Unit Cells

et al. 2021

View full text Add to dashboard Cite

show abstract

“…Composite materials have significant properties like their high strength to weight ratio [ 1 , 2 , 3 ]. They are used in many industries for different complex structures, such as aircraft, automobile, marine, and sports.…”

Section: Introductionmentioning

confidence: 99%

Review and Suggestion of Failure Theories in Voids Scenario for VARTM Processed Composite Materials

2021

Self Cite

View full text Add to dashboard Cite

Fiber-reinforced composite structures are used in different applications due to their excellent strength to weight ratio. Due to cost and tool handling issues in conventional manufacturing processes, like resin transfer molding (RTM) and autoclave, vacuum-assisted resin transfer molding (VARTM) is the best choice among industries. VARTM is highly productive and cheap. However, the VARTM process produces complex, lightweight, and bulky structures, suitable for mass and cost-effective production, but the presence of voids and fiber misalignment in the final processed composite influences its strength. Voids are the primary defects, and they cannot be eliminated completely, so a design without considering void defects will entail unreliability. Many conventional failure theories were used for composite design but did not consider the effect of voids defects, thus creating misleading failure characteristics. Due to voids, stress and strain uncertainty affects failure mechanisms, such as microcrack, delamination, and fracture. That’s why a proper selection and understanding of failure theories is necessary. This review discusses previous conventional failure theories followed by work considering the void’s effect. Based on the review, a few prominent theories were suggested to estimate composite strength in the void scenario because they consider the effect of the voids through crack density, crack, or void modeling. These suggested theories were based on damage mechanics (discrete damage mechanics), fracture mechanics (virtual crack closure technique), and micromechanics (representative volume element). The suggested theories are well-established in finite element modeling (FEM), representing an effective time and money-saving tool in design strategy, with better early estimation to enhance current design practices' effectiveness for composites. This paper gives an insight into choosing the failure theories for composites in the presence of voids, which are present in higher percentages in mass production and less-costly processes (VARTM).

show abstract

“…Godin [15] proposed an explicit formula to calculate the effective properties tensor of a periodic lattice of two-phase dielectric tubes embedded in a host matrix. Dhimole et al [16] used a method based on the minimum energy loss of the structural genome, to predict the mechanical properties of three-dimensional (3D) four-directional braided composites. Beicha et al [17] conducted a comparative study between the effective elastic properties of fiber-reinforced composites respectively built with a hexagonal, and random distribution of non-overlapping fibers.…”

Section: Introductionmentioning

confidence: 99%

Periodic homogenization and damage evolution in RVE composite material with inclusion

Benyahi

Bouafia

Kachi

et al. 2021

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

This work deals with the coupling between a periodic homogenization procedure and a damage process occurring in a RVE of inclusion composite materials. We mainly seek on the one hand to determine the effective mechanical properties according to the different volume fractions and forms of inclusions for a composite with inclusions at the macroscopic level, and on the other hand to explore the rupture mechanisms that can take place at the microstructure level. To do this; the first step is to propose a periodic homogenization procedure to predict the homogenized mechanical characteristics of an inclusion composite. This homogenization procedure is applied to the theory based on finite element analysis by the Abaqus calculation code. The inclusions are modeled by a random object modeler, and the periodic homogenization method is implemented by python scripts. It is then a matter of introducing the damage into the problem of homogenization, that is to say; once the homogenized characteristics are assessed in the absence of the damage initiated by microcracks and micro cavitations, it is then possible to introduce damage models by a subroutine (Umat) in the Abaqus calculation code. The verifications carried out focused on RVE of composite materials with inclusions.

show abstract

Modeling and Two-Step Homogenization of Aperiodic Heterogenous 3D Four-Directional Braided Composites

Cited by 13 publications

References 43 publications

Effective Complex Properties for Three-Phase Elastic Fiber-Reinforced Composites with Different Unit Cells

Effective Complex Properties for Three-Phase Elastic Fiber-Reinforced Composites with Different Unit Cells

Review and Suggestion of Failure Theories in Voids Scenario for VARTM Processed Composite Materials

Periodic homogenization and damage evolution in RVE composite material with inclusion

Contact Info

Product

Resources

About