Transport properties in fibrous elastic rhombic composite with imperfect contact condition

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

doi:10.1016/j.ijmecsci.2010.11.006

Cited by 34 publications

(35 citation statements)

References 33 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: 74%

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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: 74%

“…Thus, it is necessary to solve the local problems α3 L. Doubly periodic harmonic functions in the matrix (γ = 1), mesophase (γ = I ) and fiber (γ = 2) region are to be found for the α3 L local problems in terms of harmonic functions ϕ γ (z) analogous to Lopez-Realpozo et al [23],…”

Section: Solution Of Local Problems α3 L (α = 1 2) For Three-phase Cmentioning

confidence: 99%

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

et al. 2015

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“…As expected, the improved upper bound offers similar results to the elementary upper bound for large values of the thermal conductance. Table 3 shows comparisons of the improved lower bound with the analytical results reported in [21] for components of the normalized effective conductivity of two rhombic arrays of fibers versus fiber concentration for k ¼ 120. The relative error is less than 17%, except in the case ofr 22 =r 1 for h ¼ p=6, c 2 ¼ 0:4 and 1 2 Bi ¼f10; 10 10 g. The values for m 0 used in these calculations were taken from Table 1, p. 77, of [22].…”

Section: Uniform Thermal Barriermentioning

confidence: 99%

“…Comparison of the improved effective conductivity lower bound to AHM estimates from[21] as functions of the Biot number and fiber concentration for periodic distributions of fibers with angle h 2 fp=6; p=4g and k ¼ 120.h ¼ p=6 h ¼ p=4 r 22 =r 1r11 =r 1r22 =r 1r11 =r 1…”

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confidence: 99%

Variational bounds in composites with nonuniform interfacial thermal resistance

López-Ruiz

Bravo‐Castillero

Brenner

et al. 2015

Applied Mathematical Modelling

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a b s t r a c tThe problem of the effective thermal conductivity for a matrix-fiber composite exhibiting a periodic microstructure is studied. The composite is macroscopically anisotropic with nonuniform interfacial thermal resistance between the phases. First, the asymptotic homogenization method, which was employed recently to address related problems, is applied to recover the expression for the effective thermal conductivity obtained from classical micromechanical approaches. Then, improved bounds for the effective conductivity are obtained from a generalization of the two-dimensional realization of results by Lipton and Vernescu (1996). The bounds depend on the concentration and the conductivity of each phase, as well as on the fibers cross-section geometry and type of periodic distribution, and on the nonuniform interfacial resistance. Results are compared numerically with those obtained via asymptotic homogenization and finite element approaches, showing good agreement in a variety of situations.

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“…In [6][7][8][9], the authors obtained analytical expressions for the effective elastic properties of rectangular fibrous composites with imperfect contact between the matrix and the reinforcement. On the other hand, the multilayered curvilinear shell structures have received special attention in the last years.…”

Section: Introductionmentioning

confidence: 99%

Behavior of laminated shell composite with imperfect contact between the layers

Guinovart-Sanjuán

Rizzoni

Rodrı́guez-Ramos

et al. 2017

Composite Structures

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The paper focuses on the calculation of the effective elastic properties of a laminated composite shell with imperfect contact between the layers. To achieve this goal, first the two-scale asymptotic homogenization method (AHM) is applied to derive the solutions for the local problems and to obtain the effective elastic properties of a two-layer spherical shell with imperfect contact between the layers. The results are compared with the numerical solution obtained by finite elements method (FEM). The limit case of a laminate shell composite with perfect contact at the interface is recovered. Second, the elastic properties of a spherical heterogeneous structure with isotropic periodic microstructure and imperfect contact is analyzed with the spherical assemblage model (SAM). The homogenized equilibrium equation for a spherical composite is solved using AHM and the results are compared with the exact analytical solution obtained with SAM.

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Transport properties in fibrous elastic rhombic composite with imperfect contact condition

Cited by 34 publications

References 33 publications

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

Variational bounds in composites with nonuniform interfacial thermal resistance

Behavior of laminated shell composite with imperfect contact between the layers

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