Numerical multiscale homogenization approach for linearly viscoelastic 3D interlock woven composites

Courtois, Alice; Marcin, Lionel; Benavente, Maria; Ruiz, Édu; Lévesque, Martin

doi:10.1016/j.ijsolstr.2018.12.018

Cited by 43 publications

(37 citation statements)

References 53 publications

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“…Temperature dependence of these functions is not considered in [20,21] but its incorporation does not require any changes in the model.…”

Section: Thermo-rheologically Complex Viscoelastic Materials Model (Vimentioning

confidence: 99%

“…The second path [20,21] is solving directly the very basic differential equations obtained from principles of thermodynamics. These equations, that are used deriving the presentation with the heredity integral, are solved using different finite difference methods [25].…”

Section: Derivation Of the Incremental Formmentioning

confidence: 99%

“…If in addition to the above, Da k a kÀ1 is also very small, approximate expressions (21) and (22) can be used to calculate Dw k leading to…”

Section: Numerical Instabilitymentioning

confidence: 99%

“…Recent new studies [18,19] proposed to improve VE models by including DoC and T-dependence of the glassy and rubbery stiffness. In [20,21], a very general and thermodynamically consistent VE model with DoC and T dependences was developed following the derivation scheme suggested by Schapery [22]. This constitutive model allows accounting for the glassy modulus change with DoC.…”

Section: Introductionmentioning

confidence: 99%

“…Most of the above discussed models, except for [20,21], represent thermo-rheologically complex behavior as empirical, aimed to introduce flexibility in the model without checking for thermodynamic consistency.…”

Section: Introductionmentioning

confidence: 99%

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Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation

Saseendran

Berglund

Vārna

2020

Advanced Manufacturing: Polymer & Composites Science

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A thermo-rheologically complex linear viscoelastic material model, accounting for temperature and degree of cure (DoC), is developed starting with series expansion of the Helmholtz free energy and systematically implementing simplifying assumptions regarding the material behavior. In addition to the temperature and DoC dependent shift factor present in rheologically simple models, the derived novel model contains three cure and temperature dependent functions. The first function is identified as the rubbery modulus. The second is a weight factor to the transient integral term in the model and reflects the current temperature and cure state, whereas the third function is under the sign of the convolution integral, thus affecting the "memory" of the material. An incremental form of this model is presented which, due to improved approximation inside the time increment, has better numerical convergence than most of the similar forms. Parametric analysis is performed simulating stress development in a polymer, geometrically constrained in the mold during curing and cool-down. The importance of using proper viscoelastic model is shown, and the role of parameters in the model is revealed and discussed.

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“…Temperature dependence of these functions is not considered in [20,21] but its incorporation does not require any changes in the model.…”

Section: Thermo-rheologically Complex Viscoelastic Materials Model (Vimentioning

confidence: 99%

Section: Derivation Of the Incremental Formmentioning

confidence: 99%

“…If in addition to the above, Da k a kÀ1 is also very small, approximate expressions (21) and (22) can be used to calculate Dw k leading to…”

Section: Numerical Instabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation

Saseendran

Berglund

Vārna

2020

Advanced Manufacturing: Polymer & Composites Science

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A dual‐scale three‐dimensional thermo‐viscoelastic model for the hot stamping simulation of thermoplastic composites

et al. 2022

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Existing hot stamping simulations are performed at the macroscopic scale, making optimizing process parameters for a new composite system time‐consuming. This paper develops a dual‐scale three‐dimensional thermos‐viscoelastic model based on a numerical homogenization approach to accurately predict the structural deformation of thermoplastic composite laminates during hot stamping. The viscoelastic homogenization model is developed on representative volume elements using temperature‐dependent viscoelastic parameters determined from thermo‐mechanical tests. The effective properties of the composites are identified from the homogenization results, which are then combined with the experimentally measured thermal behavior into a numerical model of the hot stamping process. The developed model is validated by the agreement between the finite element homogenization results and the predictions made using the determined parameters. The simulated warpage of the molded part also agrees well with the experimental measurements. The developed dual‐scale model can be used to predict the effective thermomechanical properties of composites. Moreover, it can also be integrated into numerical tools for structural design and process optimization of thermoplastic composites.

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A novel post‐forming method for fully cured thermosetting composite parts: Prediction and investigation

Sun,

Xie,

Liu

et al. 2024

Polymer Composites

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The objective of this work is to devise a post‐forming technique capable of accurately and significantly altering the shape of fully cured thermosetting composite parts. To accomplish this goal, the viscoelastic behavior and resulting deformation of fully cured parts at elevated temperatures were predicted and examined using viscoelastic mechanics, finite element analysis (FEA), surrogate modeling, and the particle swarm optimization (PSO) method. Firstly, the mechanism of fully cured parts' shape adjustment based on viscoelastic mechanics was introduced, and a method was established for the inverse identification of the stress relaxation ratio in the different directions of material. Secondly, an FEA model for predicting post‐forming was developed based on the standard linear‐solid viscoelastic model. A dataset was then compiled using parameterized FEA to train a rapid prediction model for post‐forming. The influence of various forming and structural parameters on the post‐forming process was examined. The results indicate that layup has the most significant impact, followed by displacement and temperature. The radial basis function was selected to construct the precise surrogate model after comparing it with the Kriging model and the Response Surface Methodology (RSM) model. Ultimately, to achieve the desired shape after post‐forming, the PSO method can be employed to determine the ideal combination of forming parameters.Highlights The post‐forming method could adjust the shape of fully cured composites. The mechanism of post‐forming is based on viscoelastic behavior. An accurate FEA based on the standard linear‐solid model was established. The radial basis function was developed for quick and precise prediction. The particle swarm optimization could obtain the ideal forming parameters.

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Numerical multiscale homogenization approach for linearly viscoelastic 3D interlock woven composites

Cited by 43 publications

References 53 publications

Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation

Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation

A dual‐scale three‐dimensional thermo‐viscoelastic model for the hot stamping simulation of thermoplastic composites

A novel post‐forming method for fully cured thermosetting composite parts: Prediction and investigation

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