Quasi-static behavior identification of polyurethane foam using a memory integer model and the difference-forces method

Jmal, Hamdi; Dupuis, Raphaël; Aubry, Evelyne

doi:10.1177/0021955x11406101

Cited by 14 publications

(19 citation statements)

References 21 publications

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“…In the study by Ippili et al [37], the viscoelastic parameters depend on the test conditions. But the present study considers the dimensionless viscoelastic parameters to predict the foam behaviors under any test conditions (Table 3) [40].…”

Section: Viscoelastic Resultsmentioning

confidence: 99%

“…In the literature, a variety of macroscopic models are used to describe the viscoelastic behavior, such as the Maxwell model, the Kelvin Voigt model, and the Zener model [40]. In this article, the viscoelastic stress is represented by a hereditary integral model with different loading and unloading parameters:…”

Section: Viscoelastic Componentmentioning

confidence: 99%

“…Based on the symmetry of the elastic stress during the loading and unloading phases, the difference-stress method is used to identify the viscoelastic parameters [40]. According to Eq.…”

Section: Dimensional Viscoelastic Parametersmentioning

confidence: 99%

“…MAT-LAB's optimization toolbox is considered here for minimization. There are deterministic and random methods for optimization [40]. The trust region reflective, Levenberg-Marquardt and Gradient methods are three examples of deterministic methods which are effective when the objective function (function to optimize) changes rapidly.…”

Section: Parameter Optimization Approachmentioning

confidence: 99%

“…This quality is reviewed through the set at a 95% confidence level and the statistical limit error "SLE" shall not exceed 10%. In order to obtain the minimum number of test samples for each strain rate in the three different polyurethane foams, the following equation is required [40]:…”

Section: Validation Of the Parametersmentioning

confidence: 99%

See 4 more Smart Citations

Visco-hyperelastic constitutive model for modeling the quasi-static behavior of polyurethane foam in large deformation

Jmal

Dupuis

et al. 2014

Polym Eng Sci

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Flexible polyurethane foam is widely used in numerous applications such as seats and mattresses, due to its low stiffness and its ability to absorb deformation energy. The main objective of this article is to model the quasi-static mechanical behavior of three types of polyurethane foam in large deformation and to compare these three foams with three proposed models. The uniaxial compression/ decompression tests at three different strain rates were performed. The test results show that the three foams present different plateau stresses, maximum stresses, and abilities to absorb energy. Moreover, polyurethane foam also presents a nonlinear hyperelastic behavior and a viscoelastic behavior in large deformation. Three viscohyperelastic models which include a hyperelastic component and a memory component are proposed to model these behaviors. Model parameters were identified using the experimental data and a proper identification method. These models were validated on these three types of foam with the aim to present comparison results. The comparison results show that Ogden's viscoelastic model best agrees with the experimental results. POLYM. ENG. SCI., 55:1795SCI., 55: -1804SCI., 55: , 2015

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Section: Viscoelastic Resultsmentioning

confidence: 99%

Section: Viscoelastic Componentmentioning

confidence: 99%

“…Based on the symmetry of the elastic stress during the loading and unloading phases, the difference-stress method is used to identify the viscoelastic parameters [40]. According to Eq.…”

Section: Dimensional Viscoelastic Parametersmentioning

confidence: 99%

Section: Parameter Optimization Approachmentioning

confidence: 99%

Section: Validation Of the Parametersmentioning

confidence: 99%

See 3 more Smart Citations

Visco-hyperelastic constitutive model for modeling the quasi-static behavior of polyurethane foam in large deformation

Jmal

Dupuis

et al. 2014

Polym Eng Sci

Self Cite

View full text Add to dashboard Cite

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Modeling reaction kinetics of rigid polyurethane foaming process

Zhao

Gordon

Tekeei

et al. 2013

J of Applied Polymer Sci

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A theoretical model was developed to simulate the polyurethane foaming process for a rigid foam. In the model, multiple ordinary differential equations were solved by MATLAB and the model was able to predict temperature profiles by inputting foam recipe information. This initial study on foam modeling focusses on reaction kinetic parameters that were fitted to experimental temperature data as a function of time. The modeling was able to accurately model temperature profiles of single-polyol polyurethane formulations and was able to accurately predict temperature profiles of mixtures based on pure component kinetic parameters. A primary goal of this work is to expedite the ability to develop new foam formulations by simulation-especially for incorporation of new bio-based polyols into formulations.

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Reaction modeling of urethane polyols using fraction primary secondary and hindered‐secondary hydroxyl content

Ghoreishi

Zhao

Suppes

2014

J of Applied Polymer Sci

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The effect of primary, secondary, and hindered‐secondary hydroxyl groups on reactions and temperature profiles of polyurethane gels was investigated and modeled using a computer simulation that simultaneously solves over a dozen differential equations. Using urethane gel reaction temperature profiles of the reference compounds 1‐pentanol, 2‐pentanol, and Voranol 360 reactivity parameters were determined for reference primary, secondary, and hindered‐secondary hydroxyl moieties. The reaction parameters, including Arrhenius constants and heats of reaction, were consistent with previous values reported in literature. The approach of using fractions primary, secondary, and hindered‐secondary hydroxyl content to characterize reactivity sets the basis for a powerful approach to simulating/predicting urethane reaction performance with limited data on new polyols and catalysts. This code can be used for all polyols, as the kinetic parameters are based on the fraction primary, secondary, and hindered‐secondary alcohol moieties, not the type of the polyol. Kinetic parameters are also specific to catalysts where at least one parameter specific to each catalyst is necessary to simulate the impact of that catalyst. © 2014 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2014, 131, 40388.

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Quasi-static behavior identification of polyurethane foam using a memory integer model and the difference-forces method

Cited by 14 publications

References 21 publications

Visco-hyperelastic constitutive model for modeling the quasi-static behavior of polyurethane foam in large deformation

Visco-hyperelastic constitutive model for modeling the quasi-static behavior of polyurethane foam in large deformation

Modeling reaction kinetics of rigid polyurethane foaming process

Reaction modeling of urethane polyols using fraction primary secondary and hindered‐secondary hydroxyl content

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