Effective transport properties for periodic multiphase fiber-reinforced composites with complex constituents and parallelogram unit cells

Sabina, Federico J.; Guinovart-Dı́az, Raúl; Espinosa‐Almeyda, Y.; Rodrı́guez-Ramos, Reinaldo; Bravo‐Castillero, Julián; López-Realpozo, J.C.; Guinovart-Sanjuán, David; Böhlke, Thomas; Sánchez‐Dehesa, José

doi:10.1016/j.ijsolstr.2020.08.001

Cited by 4 publications

(3 citation statements)

References 65 publications

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“…In addition, it can be concluded that the imaginary part values of both three-phase FRCs vary monotonically between the values of the matrix and mesophase phases. This picture, in which the threephase FRCs are considered with distinct constituents, is different than Figure 2 reported by the authors of [7]. In this reference, the enhancement was analyzed for a three-phase FRC with the same values of matrix and fiber and different mesophase, as an annular inclusion.…”

Section: Numerical Resultsmentioning

confidence: 85%

“…Consequently, following the same procedure applied in examples of alike systems [7,40,53], the solution of Equation ( 18) can be computed in the matrixial form by…”

Section: Conflicts Of Interestmentioning

confidence: 99%

“…Improved levels of functionality can be achieved through the manipulation of physical properties by means of structure optimization [1][2][3]. Therefore, the effective properties prediction for FRCs by means of micromechanical models and numerical approaches is a useful tool for technological innovation [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2021

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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.

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Section: Numerical Resultsmentioning

confidence: 85%

“…Consequently, following the same procedure applied in examples of alike systems [7,40,53], the solution of Equation ( 18) can be computed in the matrixial form by…”

Section: Conflicts Of Interestmentioning

confidence: 99%

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

et al. 2021

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Antiplane effective properties of two‐phase micropolar elastic fiber‐reinforced composites with parallelogram‐like unit cells

Espinosa‐Almeyda,

Rodríguez‐Ramos,

Otero

et al. 2024

Z Angew Math Mech

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In this contribution, heterogeneous micropolar elastic fiber‐reinforced composites (FRCs) with a periodic structure are analyzed using the two‐scale asymptotic homogenization method (AHM). We focus on predicting the antiplane effective properties of micropolar two‐phase FRCs with parallelogram‐like unit cells. The periodic structure is defined by unidirectional, infinitely long, and concentric cylindrical fibers embedded in a homogeneous matrix. Constituent materials are assumed centro‐symmetric isotropic materials, and perfect interface conditions are considered. The AHM allows us to address the local problems on the periodic cell and determine the corresponding effective properties. This is achieved by employing two‐scale asymptotic expansions for the displacement and microrotation fields, which depend on both macro‐ and micro‐scales. The complex variable theory, combined with the complex‐potential method and doubly periodic Weierstrass elliptic functions, is applied to determine the solution of the antiplane local problems. Simple closed‐form formulas are provided for the antiplane stiffness and torque effective properties of two‐phase micropolar elastic FRCs, which depend on the physical properties and volume fractions of constituents. Finally, numerical examples are reported and discussed. Comparisons with other theoretical models are also presented, and good agreements are obtained.

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Elliptic functions and lattice sums for effective properties of heterogeneous materials

Espinosa‐Almeyda

Rodrı́guez-Ramos

Camacho‐Montes

et al. 2021

Continuum Mech. Thermodyn.

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Effective transport properties for periodic multiphase fiber-reinforced composites with complex constituents and parallelogram unit cells

Cited by 4 publications

References 65 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

Antiplane effective properties of two‐phase micropolar elastic fiber‐reinforced composites with parallelogram‐like unit cells

Elliptic functions and lattice sums for effective properties of heterogeneous materials

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