Consideration of the yarn–yarn interactions in meso/macro discrete model of fabric. Part I: Single yarn behaviour

Boubaker, Bilel Ben; Haussy, Bernard; Ganghoffer, Jean‐François

doi:10.1016/j.mechrescom.2007.02.003

Cited by 14 publications

(7 citation statements)

References 6 publications

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“…Later modifications included race track cross section [8] and deformable geometries [9][10][11]. Particle spring models introduced and developed by the researchers, provide another approach to meso-scale modeling [12][13][14][15]. The discrete element modeling approach of Provot [16] and Parsons et al [17] are similar in approach and allow a yarn to be modeled by its property at some discrete points along its length.…”

Section: Introductionmentioning

confidence: 99%

A Method of Modeling Fabric Shear using Finite Element Analysis

Chichani

Guha

2014

J. Inst. Eng. India Ser. E

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Fabric modeling may be attempted by modeling fibres or yarns or small fabric units. The first is computationally intensive while the third does not allow relationships between the fabric's structure and its mechanical properties to be predicted. The second approach has been the most widely used so far. Out of the various ways in which this has been attempted, the finite element approach offers high flexibility while allowing the procedure to be relatively simple because of the availability of user-friendly softwares. This work explores a two-step finite element approach for modeling in-plane fabric shear. A major innovation of the modeling process was that the path of yarns in the fabric was allowed to evolve through the modeling process rather than being pre-defined. The relationship between shear angle and shear stress predicted by this model was compared with that obtained from a picture frame shear experiment. It was found that modeling the yarn with a set of anisotropic properties, gave very good correlation with experimental results.

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Section: Introductionmentioning

confidence: 99%

A Method of Modeling Fabric Shear using Finite Element Analysis

Chichani

Guha

2014

J. Inst. Eng. India Ser. E

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“…A discrete model of fabric has been developed, see the recent contributions [12,13], relying on a topological description of the yarns as an undulated beam modelled by analogical spring elements, in connection with a given kinematics of the analogical elements (extensional, flexional and torsional springs). This kind with extensional, flexional and shear-like springs; however, the model does only consider the in-plane deformation of the pattern, and thus excludes the displacements of the nodes outside the initial plane of the tissue, which clearly appears as a strong restriction.…”

Section: Introductionmentioning

confidence: 99%

“…This kind with extensional, flexional and shear-like springs; however, the model does only consider the in-plane deformation of the pattern, and thus excludes the displacements of the nodes outside the initial plane of the tissue, which clearly appears as a strong restriction. Since those models have been developed at length in the contributions [12,13], we shall only focus on the main improvements of the methodology and refer the reader to the referenced works for further details. Regarding notations, vectors are represented by boldface symbols.…”

Section: Introductionmentioning

confidence: 99%

Mesoscopic Models of Wovens: A General Strategy Based on the Minimization of the Potential Energy Involving Genetic Algorithms

Boubaker

Ganghoffer

2010

Int J Mater Form

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Mesoscopic discrete models of dry fabric have been developed based on a discretization of the yarn geometry, accounting for the yarn-yarn interactions at the yarns crossing points. From a mechanical viewpoint, yarns are modeled as elastic straight bar elements representing stretching springs connected at frictionless hinges by rotational springs. The motion of each node along the yarn is described by a lateral displacement and a local rotation. The expression of the reaction force exerted by the transverse yarns at the contact points is assessed from Timoshenko beam theory. In a general situation, the reaction force is obtained by solving a linear system of equations involving all the nodal displacements at the contact points (with the transverse yarns) for each yarn. The equilibrium shape of the woven is obtained as the minimum of its total potential energy, accounting for the work of the reaction forces due to the transverse yarns. The finding of the absolute minimum of the structure's total potential energy is achieved by a genetic algorithm, based on an initial guess of the solution relying on beam mechanics. Simulations of the fabric response under uniaxial tension evidence the effect of yarn-yarn interactions due to the increase of the reaction forces, as well as the effect of the transverse yarn properties. Plain weave has a nonlinear response due to the crimp change, whereas serge shows a quasi linear response due to yarn extension being the dominant deformation mechanism. .

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“…It is the essential goal of this contribution to apply those mesoscopic models for the evaluation of the Poisson's ratio of fabric. Since this contribution is a companion of a paper in the same Minisymposium [5], we shall not repeat the presentation of the model, referring also the reader to the detailed works [3,4].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Poisson’s ratio of textiles from mesoscopic models

Boubaker

Assidi²,

Ganghoffer³

2010

Int J Mater Form

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The magnitudes of Poisson's ratios can attain some peculiar values for woven fabrics, in contrast to conventional engineering materials, leading to unusual stress-strain relationships. A mesoscopic discrete model of dry fabric has been presently developed at the scale of the armor, accounting for the yarn-yarn interactions at the yarns crossing points. From a mechanical viewpoint, yarns are modeled as elastic straight bar elements representing stretching springs connected at frictionless hinges by rotational springs. The motion of each node along the yarn is described by a lateral displacement and a local rotation. The reaction force exerted by the transverse yarns at the contact points is calculated from Timoshenko theory, and the work of the reaction forces is incorporated into the structure potential energy. The equilibrium shape of textile structures submitted to external loading is identified as configurations achieving the minimum of the potential energy; a genetic search algorithm has been implemented for the determination of the global minimum of the total potential energy. The transverse behavior of plain weave fabric is evaluated in terms of the Poisson's ratio, based on virtual simulations at the mesoscopic scale of analysis. Poisson's ratio first increases towards a maximum due to the rapid shrinkage of the sample in the transverse direction, and decreases thereafter when the crimp changes are exhausted, with yarn extension as the main deformation mechanism. The influence of the mechanical properties of both warp and weft on Poisson's coefficient is assessed. Scaling laws of the equivalent elastic properties of plain weave versus characteristic geometrical parameters (as the pick spacing) of the plain weave armor are determined. The predictions of the mesoscopic models provide a guideline for the design of woven fabrics..

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Consideration of the yarn–yarn interactions in meso/macro discrete model of fabric. Part I: Single yarn behaviour

Cited by 14 publications

References 6 publications

A Method of Modeling Fabric Shear using Finite Element Analysis

A Method of Modeling Fabric Shear using Finite Element Analysis

Mesoscopic Models of Wovens: A General Strategy Based on the Minimization of the Potential Energy Involving Genetic Algorithms

Evaluation of Poisson’s ratio of textiles from mesoscopic models

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