Numerical study of effective elastic properties of fiber reinforced composites with rhombic cell arrangements and imperfect interface

Würkner, Mathias; Berger, Harald; Gabbert, Ulrich

doi:10.1016/j.ijengsci.2012.10.002

Cited by 25 publications

(14 citation statements)

References 19 publications

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“…It would certainly be of interest to investigate the effect of imperfect phase bonding. Specifically, in the context of a numerical homogenization scheme, the FE unitcells presented in Section 3 can be altered to include phase boundary imperfections by either accounting for a third thin solid interphase at the fiber-ECM boundaries or by connecting the coincident boundary mesh nodes of fiber and ECM with springs of different stiffnesses (Spring and Paulino, 2015;Virgilio et al, 2015;Würkner et al, 2013). These aspects will be examined in a future work.…”

Section: Discussionmentioning

confidence: 99%

A homogenization model of the Voigt type for skeletal muscle

Spyrou

Agoras

Danas

2017

Journal of Theoretical Biology

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A three-dimensional constitutive model for skeletal muscle incorporating microstructural characteristics is developed and numerically implemented in a general purpose finite element program. The proposed model takes into account explicitly the volume fractions of muscle fibers and connective tissue by using the Voigt homogenization approach to bridge the different length scales of the muscle structure. The model is used to estimate the active and passive homogenized muscle response. Next, the model is validated by experimental data and periodic three-dimensional unit cell calculations comprising various fiber volume fractions and mechanical properties of the constituents. The model is found to be in very good agreement with both the experimental data and the finite element results for all the examined cases. The influence of fiber volume fraction and material properties of constituents on effective muscle response under several loading conditions is examined.

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Section: Discussionmentioning

confidence: 99%

A homogenization model of the Voigt type for skeletal muscle

Spyrou

Agoras

Danas

2017

Journal of Theoretical Biology

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“…Fiber waviness is modeled by Garnich and Karami [35]. An imperfect interphase is modeled by Würkner et al [36]. Pan et al [28] proposed a method to generate random fiber distribution within the RVE.…”

Section: Literature Reviewmentioning

confidence: 99%

Elastic properties of unidirectional fiber-reinforced composites using asymptotic homogenization techniques

Macedo

Ferreira

Donadon

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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The objective of this work is to use an asymptotic homogenization numerical model to obtain elastic properties of unidirectional fiber-reinforced composites. Square and perfect hexagonal unit cells are employed, and the influence of the fiber volume fraction over the homogenized elastic properties is studied. The effectiveness of the predictions is assessed by comparisons to experimental properties, and also another micromechanical model based on a representative volume element. The composites E-Glass 21xK43 Gevetex (glass fiber)/LY556/HT907/DY063 (epoxy matrix) and AS4 (carbon fiber)/3501-6 (epoxy matrix) were studied and good agreement between experimental and numerical predictions was found. Discrepancies between experimental and numerical data are explained in terms of simplifications considered in the homogenization model. An adjustment of properties here performed, based on varying fiber volume fractions, showed to be effective to physically represent the studied fiber composites in a micromechanical stress model based on asymptotic homogenization, developed to estimate failure envelopes of such materials.

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“…The imperfect spring type contact is one of the most widely studied problems. Many authors have been modeling the imperfect contact on fibrous composites with specific geometrical characteristics [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Analysis of effective elastic properties for shell with complex geometrical shapes

Guinovart-Sanjuán

Vajravelu

Rodrı́guez-Ramos

et al. 2018

Composite Structures

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The manuscript offers a methodology to solve the local problem derived from the homogenization technique, considering composite materials with generalized periodicity and imperfect spring contact at the interface. The general expressions of the local problem for an anisotropic composite with perfect and imperfect contact at the interface are derived. The analytical solutions of the local problems are obtained by solving a system of partial differential equations. In order to validate the model, the effective properties of the structure presented in the literature are obtained as particular cases. The solution of the local problem is used to extend the study to more complex structures, such as, wavy laminates shell composites with imperfect spring type contact at the interface. Also, the results are compared with the results for perfect and imperfect contact models available in the literature.

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Numerical study of effective elastic properties of fiber reinforced composites with rhombic cell arrangements and imperfect interface

Cited by 25 publications

References 19 publications

A homogenization model of the Voigt type for skeletal muscle

A homogenization model of the Voigt type for skeletal muscle

Elastic properties of unidirectional fiber-reinforced composites using asymptotic homogenization techniques

Analysis of effective elastic properties for shell with complex geometrical shapes

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