Equivalent mechanical properties of textile monolayers from discrete asymptotic homogenization

Goda, Ibrahim; Assidi, Mohamed; Ganghoffer, Jean‐François

doi:10.1016/j.jmps.2013.07.014

Cited by 56 publications

(33 citation statements)

References 44 publications

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“…In order to determine the classical and nonclassical moduli of three-dimensional woven for a micropolar homogenized medium taking into account the rotations due to the intersection of yarns, a discrete homogenization model was developed in Goda et al [46] for periodical structures endowed with central symmetry, and a dedicated code has been constructed with the Maple software. The method enables to treat any repetitive fabric with an arbitrary architecture, relying on an input file describing the yarn trajectories within the preform and the yarn mechanical properties (their tensile and bending moduli); more explanation on the method are given in Goda et al [46].…”

Section: Discrete Homogenization Methodsmentioning

confidence: 99%

“…The method enables to treat any repetitive fabric with an arbitrary architecture, relying on an input file describing the yarn trajectories within the preform and the yarn mechanical properties (their tensile and bending moduli); more explanation on the method are given in Goda et al [46].…”

Section: Discrete Homogenization Methodsmentioning

confidence: 99%

“…[46] is suitable only for network materials like regular textile made of a set of yarns in the absence of matrix. This micromechanical approach is particularly interesting, due to the difficulty to measure the effective properties for 3D dry textiles because of their discreteness.…”

Section: Discrete Homogenization Methodsmentioning

confidence: 99%

“…The present work focuses on the prediction of the effective classical and nonclassical in-plane and out-of-plane mechanical properties of 2.5D and 3D dry interlocks using the discrete homogenization approach developed in Goda et al [46], where the authors determine the in-plane effective properties of monolayers woven fabric. The main idea of this method is to replace a periodic or quasi-periodic discrete medium represented by a lattice of beams by a continuous medium, in which the details of the microstructure are no longer visible.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Computation of the effective mechanical properties including nonclassical moduli of 2.5D and 3D interlocks by micromechanical approaches

Rahali

Assidi

Goda

et al. 2016

Composites Part B: Engineering

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Section: Discrete Homogenization Methodsmentioning

confidence: 99%

Section: Discrete Homogenization Methodsmentioning

confidence: 99%

Section: Discrete Homogenization Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Computation of the effective mechanical properties including nonclassical moduli of 2.5D and 3D interlocks by micromechanical approaches

Rahali

Assidi

Goda

et al. 2016

Composites Part B: Engineering

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“…The fabric architecture is clearly a multi-scale：the macroscopic scale(the fabric), the mesoscopic scale( the fabric assembled of yarns) and the microscopic scale(the fabric composed of fibres) [21] . The macroscopic scale usually models the fabric as a membrane or shell and it cannot catch the yarn-yarn interaction.…”

Section: 1fabric Architecture and Projectilementioning

confidence: 99%

Numerical study of inter-yarn friction on the failure of fabrics upon ballistic impacts

2017

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This paper investigates the influence of inter-yarn friction in fabrics on the ballistic performances of the target including failure. Finite element (FE) method was adopted for the study, where FE models were established for two types of fabrics based on the yarn properties of Twaron ® and Dyneema ® , respectively. Numerical analyses on the responses of the primary and secondary yarns in the fabrics subjected to ballistic impact were carried out based on these fabric models. The results show that larger inter-yarn friction leads to less slippage of primary yarns at impact centre. In addition, higher inter-yarn friction make more involvement of the secondary yarns join in loading the impact energy, so as to alleviate the loads in primary yarns and prolong the failure of primary yarns. However，if the inter-yarn friction is too high, beyond coefficient of static friction (CSF) of 0.8 and coefficient of kinetic friction (CKF) of 0.75, the action would be counterproductive. The reason is that the stress at those inter-yarn friction levels would be more concentrated on the primary yarns, resulting in an earlier failure of a fabric.

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Construction of the effective plastic yield surfaces of vertebral trabecular bone under twisting and bending moments stresses using a 3D microstructural model

Goda

Ganghoffer

2016

Z Angew Math Mech

Self Cite

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Trabecular bone experiences complex multiaxial loads which can lead to entire bone fracture. The available knowledge of the failure properties of trabecular under multiaxial states of stress is quite limited, especially under bending and twisting moment stresses. Analytical models of the mechanical response of trabecular bone based on microstructural models can significantly enhance our understanding of multiaxial failure behavior under such loadings. For this purpose, plastic yield surfaces are derived for lattice-like models of the trabecular bone structure with a relatively high effective density, such that failure occurs by full plastic flow. The asymptotic discrete homogenization approach is involved to construct the plastic collapse surfaces of the periodic 3D rod-like architecture of vertebral bone in micropolar couple stress space incorporating natural anisotropy of bone. Both in-plane and out-of-plane bending couple stress states are considered in addition to torsional couple stresses. A plastic yield criterion is adopted to address general bending and torsional couple loadings, accounting for combined cell wall bone microstructure bending and torsion. The criterion for full plastic yielding is micromechanically motivated and relies on the calculation of the microscopic couple stresses (or micromoments) that are linked to the homogenized curvatures. The plastic yield surface is associated to a complete plasticization of the trabecular strut section. Additionally, since the effective bone density is the most important factor affecting the failure behavior of bone, the plastic strengths of vertebral bone are obtained in terms of the relative density to provide insights about the impact of bone relative density on the plastic collapse conditions. The vertebral plastic failure domains due to torsional and bending couple stresses are related to the relative density, expressed in terms of the micro-architecture parameters, itself changing with age.

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Equivalent mechanical properties of textile monolayers from discrete asymptotic homogenization

Cited by 56 publications

References 44 publications

Computation of the effective mechanical properties including nonclassical moduli of 2.5D and 3D interlocks by micromechanical approaches

Computation of the effective mechanical properties including nonclassical moduli of 2.5D and 3D interlocks by micromechanical approaches

Numerical study of inter-yarn friction on the failure of fabrics upon ballistic impacts

Construction of the effective plastic yield surfaces of vertebral trabecular bone under twisting and bending moments stresses using a 3D microstructural model

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