Cooperative viscoplasticity theory based on the overstress approach for modeling large deformation behavior of amorphous polymers

Çolak, Özgen Ü.; Ahzi, Saı̈d; Rémond, Yves

doi:10.1002/pi.4591

Cited by 14 publications

(23 citation statements)

References 26 publications

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“…DMA have reveal that amorphous polymers undergoes three main transitions which are beta relaxation, glass transition and flow. They are characterized by the associated transition temperatures, T β, T g , T f , Colak et al [2]. Richeton et al [3] used the elasticity modulus equation defined by Mahieux and Reifsnider [4], [5] and extended this theory to include rate and temperature effects.…”

Section: Modeling Storage Modulusmentioning

confidence: 99%

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Modeling of Storage Modulus of Graphene Epoxy Nanocomposites

Acar¹,

Uzunsoy²,

Çakır³

2016

Fourth International Conference on Advances in Civil, Structural and Mechanical Engineering -ACSM 2016

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Section: Modeling Storage Modulusmentioning

confidence: 99%

“…Richeton et al [3] used the elasticity modulus equation defined by Mahieux and Reifsnider [4], [5] and extended this theory to include rate and temperature effects. Temperature and rate dependent elasticity modulus is given in Equation 1and (2).…”

Section: Modeling Storage Modulusmentioning

confidence: 99%

Modeling of Storage Modulus of Graphene Epoxy Nanocomposites

Acar¹,

Uzunsoy²,

Çakır³

2016

Fourth International Conference on Advances in Civil, Structural and Mechanical Engineering -ACSM 2016

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“…Other models focus on the orientational hardening observed at large strain in the mechanical behavior of polymers [16][17][18][19][22][23][24]. Based on these different theories, several numerical (visco)elastic-viscoplastic models [25][26][27][28][29] have been developed using a decomposition of the total deformation gradient into an elastic and an inelastic parts. At large strain, these models exhibit a good correlation between experimental results and numerical predictions for simple load cases such as uniaxial loadings (compression or tension), or independently in shear loading.…”

Section: Introductionmentioning

confidence: 99%

A generalized mechanical model using stress–strain duality at large strain for amorphous polymers

Bernard

George

Ahzi

et al. 2020

Mathematics and Mechanics of Solids

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Numerous models have been developed in the literature to simulate the thermomechanical behavior of amorphous polymers at large strain. These models generally show a good agreement with experimental results when the material is submitted to uniaxial loadings (tension or compression) or in the case of shear loadings. However, this agreement is highly degraded when they are used in the case of combined load cases. A generalization of these models to more complex loads is scarce. In particular, models that are identified in tension or compression often overestimate the response in shear. One difficulty lies in the fact that 3D models must aggregate different physical modeling, described with different kinematics. This requires the use of transport operators complex to manipulate. In this paper, we propose a mechanical model for large strains, generalized in 3D, and precisely introducing the adequate transport operators in order to obtain an exact kinematic. The stress–strain duality is validated in the writing of the power of internal forces. This generalized model is applied in the case of a polycarbonate amorphous polymer. The simulation results in tension/compression and shear are compared with the classical modeling and experimental results from the literature. The results greatly improve the numerical predictions of the mechanical response of amorphous polymers submitted to any load case.

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“…One of the most popular evolution equations associated with the α - and β -relaxation processes is the model proposed by Richeton et al (2005a, 2006, 2007) to represent the yielding in the glassy and rubbery states. The model derived from the cooperative model of Fotheringham and Cherry (1978) in cooperation with the α - and β -relaxation process-based model of Bauwens-Crowet et al (1969) and Bauwens-Crowet (1973) has been used widely to evaluate the yield strength in the glassy and rubbery states of the amoprhous polymers; see, for example, Colak et al (2013) and Yu et al (2014). Incorporating this model, Anand et al (2009) and Ames et al (2009) adopted the thermodynamics-based approach made by Anand and Gurtin (2003) to formulate a thermo-mechanically coupled constitutive model for glassy amorphous polymers.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic-viscoplastic combined constitutive model for glassy amorphous polymers under loading/unloading/no-load states

Matsubara

Terada

Maeda³

et al. 2020

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Purpose This study aims to propose a novel viscoelastic–viscoplastic combined constitutive model for glassy amorphous polymers within the framework of thermodynamics at finite strain that is capable of capturing their rate-dependent inelastic mechanical behavior in wide ranges of deformation rate and amount. Design/methodology/approach The rheology model whose viscoelastic and viscoplastic elements are connected in series is set in accordance with the multi-mechanism theory. Then, the constitutive functions are formulated on the basis of the multiplicative decomposition of the deformation gradient implicated by the rheology model within the framework of thermodynamics. Dynamic mechanical analysis (DMA) and loading/unloading/no-load tests for polycarbonate (PC) are conducted to identify the material parameters and demonstrate the capability of the proposed model. Findings The performance was validated in comparison with the series of the test results with different rates and amounts of deformation before unloading together. It has been confirmed that the proposed model can accommodate various material behaviors empirically observed, such as rate-dependent elasticity, elastic hysteresis, strain softening, orientation hardening and strain recovery. Originality/value This paper presents a novel rheological constitutive model in which the viscoelastic element connected in series with the viscoplastic one exclusively represents the elastic behavior, and each material response is formulated according to the multiplicatively decomposed deformation gradients. In particular, the yield strength followed by the isotropic hardening reflects the relaxation characteristics in the viscoelastic constitutive functions so that the glass transition temperature could be variant within the wide range of deformation rate. Consequently, the model enables us to properly represent the loading process up to large deformation regime followed by unloading and no-load processes.

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Cooperative viscoplasticity theory based on the overstress approach for modeling large deformation behavior of amorphous polymers

Cited by 14 publications

References 26 publications

Modeling of Storage Modulus of Graphene Epoxy Nanocomposites

Modeling of Storage Modulus of Graphene Epoxy Nanocomposites

A generalized mechanical model using stress–strain duality at large strain for amorphous polymers

Viscoelastic-viscoplastic combined constitutive model for glassy amorphous polymers under loading/unloading/no-load states

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