Hierarchical multi-scale modelling of flax fibre/epoxy composite by means of general anisotropic viscoelastic-viscoplastic constitutive models: Part I – Micromechanical model

Bedzra, Rex; Reese, Stefanie; Simon, Jaan‐Willem

doi:10.1016/j.ijsolstr.2020.05.020

Cited by 8 publications

(7 citation statements)

References 57 publications

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“…Equation (12) expresses the evolution law of the viscoelastic strain ε ve having assumed linear viscoelasticity in the Voigt form, with C having the same form as C, but with five different material parameters. Even though in principle one can identify all five parameters independently, to reduce the number of parameters, we here assume proportionality between the two elasticity tensors…”

Section: Anisotropic Viscoelastic-viscoplastic Modelmentioning

confidence: 99%

Geometrical and Mechanical Modeling of Polymeric Multi-Ply Yarns

Pires da Costa,

Moscatelli,

Caracino

et al. 2024

Applied Sciences

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This work aims to describe and predict the complex mechanical behavior of polymeric cords used as reinforcements in tires. Starting from the observed microstructure of the cords and from macroscopic experimental tests performed on single-ply yarns, a comprehensive geometric and mechanical model is developed. The real geometry of the cord is replaced by an equivalent three-dimensional continuum of a cylindrical shape, with a properly defined non-isotropic inelastic constitutive behavior. The three-dimensional viscoelastic and viscoplastic material model developed by the authors for rayon fibers is employed for this purpose. The actual directions of filaments inside the cord are computed by an analytical model, accounting for the twist in the yarns and in the filaments inside each yarn. Such directions, relevant to points of the cord cross-section, are then averaged along the pitch of the cord to obtain mean directions which represent the virtual reinforcement directions to be used in the equivalent cylindrical-shaped model. This analysis strategy is implemented in a finite element procedure. For rayon cords, the developed simulation tool (fed with appropriate parameters) gives numerical results that compare well with the corresponding experimental results. This approach could be effectively utilized in the analysis of cord-reinforced rubber composites.

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Section: Anisotropic Viscoelastic-viscoplastic Modelmentioning

confidence: 99%

Geometrical and Mechanical Modeling of Polymeric Multi-Ply Yarns

Pires da Costa,

Moscatelli,

Caracino

et al. 2024

Applied Sciences

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“…This model does not account explicitly for the geometric effects caused by the torsion of the fibers composing the yarns. The same composites are also analyzed in [21], where matrix and fibers are modeled separately and a thermodynamically consistent anisotropic elastoplastic constitutive model for the flax fibers is considered; the reinforcement in this case is composed of unidirectional non-twisted fibers. In [22], a hyperelastic anisotropic constitutive model is developed for multi-ply yarns.…”

Section: Introductionmentioning

confidence: 99%

Elasto-viscoplastic model for rayon yarns

Moscatelli,

Pires da Costa,

Caracino

et al. 2024

Meccanica

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In this paper we develop a new model for the simulation of the mechanical behavior of rayon twisted yarns, at macroscopic level. A yarn with its continuous filaments is represented by an equivalent three-dimensional solid of cylindrical shape, discretized by finite elements, with properly defined local anisotropic material properties. The new constitutive model, inspired by experimental results on rayon untwisted yarns, is formulated in the framework of the thermodynamics of irreversible processes and includes visco-elastic and visco-plastic dissipation mechanisms. The effect of twist is taken into account by including the direction of the fibers in the free energy definition. The overall model is validated comparing numerical and experimental results on twisted rayon yarns.

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“…[7][8][9] Moreover, most of the models adopted to characterize the behaviour of plant fibre composite materials are based on micromechanical approaches, hybrid or mixed 1 approaches. 10,11 Bedzra et al 12 have developed a finite element model of a unidirectional flax/epoxy composite. First, they established a plasticity model for the epoxy matrix which accounts for both linear viscoelasticity and combined isotropic-kinematic hardening effects.…”

Section: Introductionmentioning

confidence: 99%

“…12. Shear behaviour following a cyclic tensile test applied to a Flax/Elium specimen at ± 67.5°orientations.Figure 13.…”

mentioning

confidence: 99%

Multi-scale analysis of the mechanical behaviour of a flax fibre reinforced composite under low-velocity impact

Haggui,

Jendli,

El Mahi

et al. 2024

Journal of Composite Materials

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The use of biocomposite materials in different fields requires enhanced knowledge of the nonlinear phenomena related to their complex mechanical behaviour. Namely, nonelastic mechanisms such as damage, plasticity, and rupture, potentially coupled with viscosity incidence, affect the structure’s lifetime. In this context, the aim of this paper is to propose a simplified and accessible approach that leads to modelling the overall mechanical behaviour of the composite material. The studied laminate composites were made of thermoplastic Elium resin reinforced with flax plies. Experimental quasistatic and dynamic characterisations were conducted via tensile and cyclic tensile tests to investigate the structure’s mechanical properties and corresponding failure mechanisms. The test results clearly demonstrated the presence of significant nonlinear specific coupling effects due to both flax fibre and Elium resin. The proposed multi-scale modelling analysis assumes two principal entities: the ply constituted by one or more layers of unidirectional fibres and the fibre-matrix interface considered as a surface layer of resin. Each entity was characterized by specific damage variables that were determined by mechanical tests. Model parameters were experimentally identified and expressed in the behaviour model to simulate the composite structure subjected to low-velocity impact using the Pam-Crash F.E. numerical code.

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Hierarchical multi-scale modelling of flax fibre/epoxy composite by means of general anisotropic viscoelastic-viscoplastic constitutive models: Part I – Micromechanical model

Cited by 8 publications

References 57 publications

Geometrical and Mechanical Modeling of Polymeric Multi-Ply Yarns

Geometrical and Mechanical Modeling of Polymeric Multi-Ply Yarns

Elasto-viscoplastic model for rayon yarns

Multi-scale analysis of the mechanical behaviour of a flax fibre reinforced composite under low-velocity impact

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