Enhancement of Young’s moduli and auxetic windows in laminates with isotropic constituents

Ramírez, Mirella; Nava-Gómez, Gerardo G.; Sabina, Federico J.; Camacho‐Montes, H.; Guinovart-Dı́az, Raúl; Rodrı́guez-Ramos, Reinaldo; Bravo‐Castillero, Julián

doi:10.1016/j.ijengsci.2012.03.029

Cited by 19 publications

(7 citation statements)

References 36 publications

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“…The curve y 3 ¼ ðÀ0:6 þ 0:3x 2 1 Þ=ε separates the two material layers. The function (28) describes the thickness variation of the unit cell. Variation of the elastic properties in x 3 direction is not considered, thus the elastic properties have rapidly oscillation in y direction.…”

Section: Laminated Composite With Variation On the Thicknessmentioning

confidence: 99%

Effective properties of regular elastic laminated shell composite

Guinovart-Sanjuán

Rodrı́guez-Ramos

Guinovart-Dı́az

et al. 2016

Composites Part B: Engineering

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The manuscript offers a methodology to solve an analytical model of a heterogeneous elastic problem for curvilinear layered structures, using the two scales asymptotic homogenization method (AHM). The local problems and the mechanical properties of the local functions were derived. The analytical modeling for the linear elastic problem considering quasi-periodic multi-layered curvilinear composites and the corresponding homogenized problem were obtained. The analytic expression of the effective stress for curvilinear composites is presented. In order to validate the presented model, comparisons with a computational modeling and experimental results for Fibonacci laminated composite and wavy laminated structure are given. The methodology is applied to composites with thickness variation where the effective coefficients were computed and a comparison between the results reported by AHM and numerical analysis given by finite element method (FEM) is presented. Finally, the aorta is studied as a curvilinear laminated shell composite and the above results were used to determinate the effective elastic tensor for healthy and unhealthy aorta using AHM and FEM.

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Section: Laminated Composite With Variation On the Thicknessmentioning

confidence: 99%

Effective properties of regular elastic laminated shell composite

Guinovart-Sanjuán

Rodrı́guez-Ramos

Guinovart-Dı́az

et al. 2016

Composites Part B: Engineering

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“…Eventually, this causes limitations on the structural applications of the materials with negative Poisson's ratio [29]. Auxetic composites have been proved to be an available way to obtain materials with high specific strength, stiffness and negative Poisson's ratio [30][31][32][33][34][35][36]. In one approach, carbon double helix yarns are used to reinforce polyester matrix unidirectionally to produce composites with relatively high stiffness (4 GPa) and negative Poisson's ratio of À6.8 at 30% fiber volume fraction [34].…”

Section: Introductionmentioning

confidence: 99%

Novel structure with negative Poisson’s ratio and enhanced Young’s modulus

Yang

et al. 2016

Composite Structures

153

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“…In several works similar patterns have been observed. For instance, the enhancement of the effective out-of-plane Young modulus was obtained in [24] for a periodic bilaminate, and in [31], for a particular type of composite material. The approach permits the study of problems where several length scales are present (the two-scale asymptotic homogenization only deals with two different length scales).…”

Section: Resultsmentioning

confidence: 99%

Homogenized out-of-plane shear response of three-scale fiber-reinforced composites

Ramírez-Torres

Penta

Rodrı́guez-Ramos

et al. 2018

Comput. Visual Sci.

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In the present work we embrace a three scales asymptotic homogenization approach to investigate the effective behavior of hierarchical linear elastic composites reinforced by cylindrical, uniaxially aligned fibers and possessing a periodic structure at each hierarchical level of organization. We present our novel results assuming isotropy of the constituents and focusing on the effective out-of-plane shear modulus, which is computed exploiting the solution of the arising anti-plane problems. The latter are solved semi-analytically by means of complex variables and successfully benchmarked against the results obtained by finite elements. Our findings can pave the way for multiscale modeling of complex hierarchical materials (such as bone and tendons) at a negligible computational cost.

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Enhancement of Young’s moduli and auxetic windows in laminates with isotropic constituents

Cited by 19 publications

References 36 publications

Effective properties of regular elastic laminated shell composite

Effective properties of regular elastic laminated shell composite

Novel structure with negative Poisson’s ratio and enhanced Young’s modulus

Homogenized out-of-plane shear response of three-scale fiber-reinforced composites

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