Biaxial cyclic deformation of an epoxy resin: Experiments and constitutive modeling

Xia, Zihui; Shen, Xinghe; Ellyin, F.

doi:10.1007/s10853-005-6302-0

Cited by 30 publications

(23 citation statements)

References 16 publications

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“…It was clearly shown that the introduction of such a rule is essential in properly simulating the cyclic deformation behavior of the epoxy polymer. Even in the case of complex biaxial nonproportional cyclic loading paths, the model predictions were in good agreement with the experiments once the aforementioned rule was incorporated (Xia et al, 2005a).…”

Section: Hysteresis Effect In Cyclic Loadingsupporting

confidence: 63%

“…In an investigation by Shen et al (2004) and Xia et al (2005a), a series of uniaxial cyclic tests were carried out on an epoxy resin, Epon 826/EpiCure 9551. The data were used to evaluate the performance of two nonlinear viscoelastic constitutive models (Xia et al, 2005b), where a general loading/unloading criterion and a 'switch rule' was proposed.…”

Section: Hysteresis Effect In Cyclic Loadingmentioning

confidence: 99%

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A large deformation framework for compressible viscoelastic materials: Constitutive equations and finite element implementation

Hasanpour

Ziaei-Rad

Mahzoon

2009

International Journal of Plasticity

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Section: Hysteresis Effect In Cyclic Loadingsupporting

confidence: 63%

Section: Hysteresis Effect In Cyclic Loadingmentioning

confidence: 99%

A large deformation framework for compressible viscoelastic materials: Constitutive equations and finite element implementation

Hasanpour

Ziaei-Rad

Mahzoon

2009

International Journal of Plasticity

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“…Uniaxial and biaxial cyclic tests on Epon 826/Epi-cure curing agent 9551 can be found in Refs. [13,14]. These studies indicated that at high stresses the cyclic stressstrain (hysteresis) loops are nonlinear and that this nonlinearity is more pronounced during the initial cycle.…”

Section: Introductionmentioning

confidence: 96%

“…The objective of this article is to assess the predictive capabilities of two nonlinear viscoelastic constitutive models in differential form. One of the models was developed by Xia et al [14][15][16][17][18]. In its uniaxial representation, this model is based on multiple ''Kelvin-Voigt-type'' elements connected in series.…”

Section: Introductionmentioning

confidence: 99%

Predictions of two nonlinear viscoelastic constitutive relations for polymers under multiaxial loadings

Ellyin

Vaziri

Bigot

2007

Polymer Engineering & Sci

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Two viscoelastic constitutive relations in differential form are further developed here to include material nonlinearity and distinction between loading and unloading regimes, which is a characteristic of polymers. The effects of hydrostatic pressure and anisotropy in tension and compression on the deformation response of polymers are accounted for through the definition of a pressuredependent equivalent stress. In the uniaxial stress state, these constitutive relations reduce to the two wellknown mechanical analogue representations: ''Kelvin-Voigt-type'' and ''Maxwell-type'' rheological models. The predictive capabilities of these constitutive relations are then assessed against a wide range of experimental results, which include both uniaxial and biaxial stress states subjected to quasi-static and cyclic-loading conditions. The predictions of both models are found to be in good agreement with the test data.

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“…A viscoplastic model based on overstress and developed for polymers [7,8] is evaluated against simulating these responses. It is important to note that for addressing the wear problems of knee and hip joint implants and other mechanical components, the development of relevant multiaxial cyclic responses and a simulation model will be essential [36]. Upon successful development of a viscoplastic model for simulating the uniaxial, strain and stress-controlled responses of UHMWPE, efforts will be made for simulating multiaxial cyclic responses of this material.…”

Section: Introductionmentioning

confidence: 99%

Uniaxial Strain and Stress-Controlled Cyclic Responses of Ultrahigh Molecular Weight Polyethylene: Experiments and Model Simulations

Hassan

Çolak

Clayton

2011

Journal of Engineering Materials and Technology

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Thermoplastics such as uitrahigh molecular weight polyethylene (UHMWPE) are used for a wide variety of applications, such as bearing material in total replacement of knee and hip components, seals, gears, and unlubricated bearing. Accurate prediction of stresses and deformations of UHMWPE components under service conditions is essential for the design and analysis of these components. This, in turn, requires a cyclic, viscoplastic constitutive model that can simulate cyclic responses of UHMWPE under a wide variety of uniaxial and multiaxial, strain, and stress-controlled cyclic loading. Such a constitutive model validated against a broad set of experimental responses is not available mainly because of the lack of experimental data of UHMWPE. Toward achieving such a model, this study conducted a systematic set of uniaxial e.xperiments on UHMWPE thin-walled, tubular specimens by prescribing strain and stress-controlled cyclic loading. The tubular specimen was designed so that both uniaxial and biaxial experiments can be conducted using one type of specimen. The experimental responses developed are presented for demonstrating the cyclic and ratcheting responses of UHMWPE under uniaxial loading. The responses also are scrutinized for determining the applicability of the thin-walled, tubular specimen in conducting large strain cyclic experiments. A unified state variable theory, the viscoplasticity theory based on overstress for polymers (VBOP) is implemented to simulate the recorded uniaxial responses of UHMWPE. The state of the VBOP model simulation is discussed and model improvements needed are suggested.

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Biaxial cyclic deformation of an epoxy resin: Experiments and constitutive modeling

Cited by 30 publications

References 16 publications

A large deformation framework for compressible viscoelastic materials: Constitutive equations and finite element implementation

A large deformation framework for compressible viscoelastic materials: Constitutive equations and finite element implementation

Predictions of two nonlinear viscoelastic constitutive relations for polymers under multiaxial loadings

Uniaxial Strain and Stress-Controlled Cyclic Responses of Ultrahigh Molecular Weight Polyethylene: Experiments and Model Simulations

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