Time and temperature effect on the linear–nonlinear viscoelastic transition threshold of a polymeric system

Papanicolaou, George; Xepapadaki, A. G.; Karagounaki, K.; Zaoutsos, Stefanos

doi:10.1002/app.27677

Cited by 11 publications

(12 citation statements)

References 8 publications

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“…A simple model is the four‐parameter model (Fig. 3), which consists of a Kelvin and a Maxwell model in a row can be applied assuming that the presuppositions of linear viscoelastic behavior were fulfilled 25, 26. The relationship between σ and ε can be given by the constitutive equation: where R 1 , R 2 exhibit instantaneous elasticity and recovery and can be interpreted as a Young's modulus.…”

Section: Methodsmentioning

confidence: 99%

“…3), which consists of a Kelvin and a Maxwell model in a row can be applied assuming that the presuppositions of linear viscoelastic behavior were fulfilled. 25,26 The relationship between r and e can be given by the constitutive equation:…”

Section: The Four Element Modelmentioning

confidence: 99%

“…When being in the linear viscoelastic region the Boltzmann superposition principle dictates that for a given time there exists a linear relation between applied creep stress and creep strain. 25 This line is referred as isochronous curve and its slope is defined as creep modulus, E creep . The variation of the material's creep modulus as a function of the w f in MWCNT's for various creep times is presented in Figure 8.…”

Section: Creep Behavior Of Nanocompositesmentioning

confidence: 99%

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Interphasial viscoelastic behavior of CNT reinforced nanocomposites studied by means of the concept of the hybrid viscoelastic interphase

Papanicolaou

Xepapadaki

Drakopoulos

et al. 2011

J of Applied Polymer Sci

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In this study the effect of carbon nanotubes content as well as of the tensile stress level applied upon the linear viscoelastic creep response of carbon nanotube polymer nanocomposites was investigated. Experimental findings were modeled by means of the newly developed hybrid viscoelastic interphase model, which constitutes an extension of the previously developed hybrid interphase model. According to this model, the viscoelastic interphase thickness has not of constant value but is dependent upon the property considered at the time as well as on the creep time. In addition, the parameter of imperfect bonding is introduced through the degree of adhesion. Experimental findings combined with analytical results gave a better understanding of the viscoelastic response of epoxy resin carbon nanotubes nanocomposites.

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Section: Methodsmentioning

confidence: 99%

Section: The Four Element Modelmentioning

confidence: 99%

Section: Creep Behavior Of Nanocompositesmentioning

confidence: 99%

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Interphasial viscoelastic behavior of CNT reinforced nanocomposites studied by means of the concept of the hybrid viscoelastic interphase

Papanicolaou

Xepapadaki

Drakopoulos

et al. 2011

J of Applied Polymer Sci

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“…Noteworthy, although Elleuch and Taktak found a linear viscoelastic behavior for HDPE in the range of 3 to 10 MPa in both compressive and tensile tests, it is widely accepted that this material's viscoelastic behavior is nonlinear up to nearly vanishing stresses . As these differences can be explained by the influence of temperature, Papanicolau et al presented a correlation between linear and nonlinear viscoelastic behavior and temperature.…”

Section: Introductionmentioning

confidence: 99%

A procedure for modeling the nonlinear viscoelastoplastic creep of HDPE at small strains

et al. 2016

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HDPE pipes are frequently laid in buried or submerged conditions and are often subjected to considerable internal pressure. This context requires the consideration of HDPE as a structural material and demands constitutive models to predict failure possibilities in short and long terms. This article presents an approximate procedure to simulate the viscoelastoplastic nature of HDPE's material behavior under creep conditions. While a generalized Kelvin‐Voigt model based on Prony series is used to model viscoelasticity, the power law of Zapas‐Crissman is adopted to account for viscoplastic effects. The associated material parameters are obtained from experimental creep‐recovery tests evaluated at different stress levels and constant temperature. As this type of test allows an uncoupled procedure for identifying the viscoelastic and viscoplastic material parameters, this task is divided into two stages: (i) a constrained nonsmooth optimization problem is defined and solved for the viscoelastic parameters, and (ii) the viscoplastic parameters are determined by linear regression. Thereafter, the viscoelastic and viscoplastic parameters obtained for each experimental stress level are interpolated linearly for intermediate stress conditions. Finally, a numerical‐experimental example is presented, showing that the proposed procedure is able to reproduce adequately more complex loading conditions. POLYM. ENG. SCI., 57:144–152, 2017. © 2016 Society of Plastics Engineers

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“…It is usually determined in creep tests by construction creep isochrones and evaluation of their linearity up to a certain stress threshold. However, the stress limit is a time‐dependent function strongly influenced by environmental action, particularly temperature 2–4. This requires performing a great experimental work to get time and temperature dependences of the stress limits and to determine the region of LVE for a material.…”

Section: Introductionmentioning

confidence: 99%

Application of time‐temperature superposition to energy limit of linear viscoelastic behavior

Starkova

Aniskevich

2009

J of Applied Polymer Sci

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ABSTRACT:The energy approach for evaluation of the limits of linear viscoelastic (LVE) behavior is considered. The approach of Foux and Bruller based on the ReinerWeissenberg dynamic theory of strength is developed for the temperature effect. Value of the stored energy at the limit of LVE is considered as the material characteristic independent on loading conditions and temperature. Timetemperature superposition principle is extended for the energy calculations. Curves of the stored energy calculated for different temperatures are shifted to each other in the logarithmic time axes similarly as creep compliance and relaxation modulus curves in creep and tension tests, respectively. Temperature is considered as a factor that accelerates transition form linear to non-LVE at the same stored energy threshold. This is proved by example of polyvinylchloride by comparing temperature dependences of the stress limits of LVE determined in two independent test series: tensile creep and constant strain rate tests.

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Time and temperature effect on the linear–nonlinear viscoelastic transition threshold of a polymeric system

Cited by 11 publications

References 8 publications

Interphasial viscoelastic behavior of CNT reinforced nanocomposites studied by means of the concept of the hybrid viscoelastic interphase

Interphasial viscoelastic behavior of CNT reinforced nanocomposites studied by means of the concept of the hybrid viscoelastic interphase

A procedure for modeling the nonlinear viscoelastoplastic creep of HDPE at small strains

Application of time‐temperature superposition to energy limit of linear viscoelastic behavior

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