Influence of parallelogram cells in the axial behaviour of fibrous composite

Guinovart-Dı́az, Raúl; López-Realpozo, J.C.; Rodrı́guez-Ramos, Reinaldo; Bravo‐Castillero, Julián; Ramírez, Mirella; Camacho‐Montes, H.; Sabina, Federico J.

doi:10.1016/j.ijengsci.2010.06.024

Cited by 24 publications

(28 citation statements)

References 28 publications

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“…The asymptotic homogenization method (AHM), for three-phase fibrous periodic composites with nonuniform mesophase and oblique cell, is used for the calculation of shear elastic effective coefficients. This contribution is an extension of previous works [21][22][23] where the imperfection on the interface is a constant function (uniform). The results in this paper are mainly focused on the impact of the arrangement of the fibers and the mechanical nonuniform imperfection at the interface on the stiffness properties.…”

Section: Introductionmentioning

confidence: 73%

“…The analytical expressions of the effective properties (26) and (27) are functions of the properties and volume fractions of constituents of a composite with periodic cell w 1 , w 2 . As a limit case, the two-phase composite with perfect contact on interface reported in Guinovart-Díaz et al [22] is obtained from (26) and (27) by taking the parameters κ 1 j = p I j / p 1 → ∞. The complete separation is obtained when κ 1 j = p I j / p 1 → 0.…”

Section: Effective Properties For Three-phase Composites Under Nonunimentioning

confidence: 99%

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Analysis of fibrous elastic composites with nonuniform imperfect adhesion

et al. 2015

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In most composites, the fiber-matrix adhesion is imperfect; the continuity conditions for stresses and displacements are not satisfied. In this contribution, effective elastic moduli are obtained by means of the asymptotic homogenization method (AHM), for three-phase fibrous composites (matrix/mesophase/fiber) with parallelogram periodic cell. Interaction between fiber and matrix is considered, and this is called the mesophase model where the nonuniform mesophase is studied. Besides, there is another type of 1 matrix-fiber contact which is called nonuniform spring imperfect contact. In this case, the contrast or jump of the displacements in the boundary of each phase is proportional to the corresponding component of the tension in the interface in terms of a parameter given by a certain function that depends on the position. The constituents of the composites exhibit transversely isotropic properties. A doubly periodic parallelogram array of cylindrical inclusions under longitudinal shear is considered. The three-phase model is validated by the Finite Element Method and the AHM both approaches applied to two-phase composites with nonuniform spring imperfect contact. Comparisons with theoretical and experimental results verified that the present model is efficient for the analysis of composites with presence of nonuniform imperfect interface and parallelogram cell. The effect of the nonuniform imperfection on the shear effective property is observed. The present method can provide benchmark results for other numerical and approximate methods.

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Section: Introductionmentioning

confidence: 73%

Section: Effective Properties For Three-phase Composites Under Nonunimentioning

confidence: 99%

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

et al. 2015

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“…In particular, the expressions for a 1(13) , a 1(23) are reported in Guinovart-Díaz et al (2011) and Rodríguez-Ramos et al (2011). The unknown constants a k(pp) related to the plane local problems L pp are the solutions of the system…”

Section: ð2:3þmentioning

confidence: 99%

Two approaches for the evaluation of the effective properties of elastic composite with parallelogram periodic cells

Rodrı́guez-Ramos

Berger

Guinovart-Dı́az

et al. 2012

International Journal of Engineering Science

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“…Rodriguez‐Ramos et al. applied an asymptotic homogenization method. Lu and Lin presented a boundary collocation scheme.…”

Section: Introductionmentioning

confidence: 99%

“…Rylko [26], Mityushev [17,19] and Castro et al [4] applied the method of functional equations to the cases of rectangular array of cylinders and the cases of imperfect interface between matrix and inclusions. Rodriguez-Ramos et al [8,14,25] applied an asymptotic homogenization method. Lu and Lin [15] presented a boundary collocation scheme.…”

Section: Introductionmentioning

confidence: 99%

Unified complex variable solution for the effective transport properties of composites with a doubly‐periodic array of fibers

Yan

Dong

Chen³

et al. 2016

Z Angew Math Mech

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We present a complex variable method to evaluate the transverse effective transport properties of composites with a doubly-periodic array of fibers. The obtained complex variable solution is derived in a unified form for arbitrary doublyperiodic fiber arrays, and different fiber-matrix interfaces, i.e., perfect interface, contact resistance interface and coating. The present method can be seen as an extension of the method originated by Rayleigh only for symmetric fiber arrays. The limitation of Rayleigh's method is overcome by introducing a supplementary equation. Explicit formulae of the effective transport properties approximated to finite orders are obtained, which are written in a regular form for different fiber arrays, and reveal the reciprocal relations for symmetric fiber arrays. The validity and accuracy of the solution are verified by numerical examples and comparisons with existing methods.

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Influence of parallelogram cells in the axial behaviour of fibrous composite

Cited by 24 publications

References 28 publications

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

Two approaches for the evaluation of the effective properties of elastic composite with parallelogram periodic cells

Unified complex variable solution for the effective transport properties of composites with a doubly‐periodic array of fibers

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