On the damage energy of polymers in creep

Brüller, O. S.

doi:10.1002/pen.760180109

Cited by 31 publications

(5 citation statements)

References 2 publications

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“…It was shown in Refs 16. and17 that contribution of the deviatoric energy to the total energy is much higher than that of the isotropic one. For most polymers with Poison's ratio in a range of 0.35–0.45 a ratio W dev / W accounts for 90–97%.…”

Section: Theoretical Backgroundmentioning

confidence: 96%

“…Thus, it is advisable to use the total stored energy as the energy limit instead of its deviatoric part. Furthermore, in the region of linear viscoelastic behavior an amount of the dissipated energy is low in comparison with the stored energy and can be neglected in most cases 17. Finally, the total energy of deformation is supposed to consider as the energy limit of LVE.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

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A method for determination of time‐ and temperature‐dependences of stress threshold of linear–nonlinear viscoelastic transition: Energy‐Based Approach

Starkova

Papanicolaou

Xepapadaki

et al. 2011

J of Applied Polymer Sci

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A methodology for determination of timeand temperature-dependences of stress threshold of linear-nonlinear viscoelastic transition is proposed and validated by example of uniaxial creep of epoxy resin. Energy approach is applied for characterization of the region of linear viscoelasticity (LVE) and the threshold of LVE is given in the stress-strain representation as the master curve independent of time and temperature. Time-and temperature-dependences of the stress threshold are calculated by extending LVE theory and time-temperature superposition principles (TTSP) to the energy relations. Reasonable agreement between experimental data and calculations is obtained. It is shown that number of tests required for characterization of LVE region in a wide range of test time and temperatures can be considerably reduced by applying the proposed methodology.

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Section: Theoretical Backgroundmentioning

confidence: 96%

Section: Theoretical Backgroundmentioning

confidence: 99%

A method for determination of time‐ and temperature‐dependences of stress threshold of linear–nonlinear viscoelastic transition: Energy‐Based Approach

Starkova

Papanicolaou

Xepapadaki

et al. 2011

J of Applied Polymer Sci

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show abstract

“…Besides, the deviatoric energy gives much higher contribution to the total energy than the isotropic one (in other words, volume changes are relatively small in comparison with shape changes). In this connection, in simple loading cases, the total energy is often considered instead of its deviatoric part 12, 13…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…Initiating the nonlinear behavior (physical nonlinearity is considered, i.e., reversible deformations) is associated with only one physical function that combines the effects of both stress and strain. Analogously to the energy‐based failure criteria,9–13 the energy limit of LVE is assumed to be a material characteristic independent on time and action of external factors.…”

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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“…Brüller [5], [6], [7] investigated profoundly the applicability of an energy criterion to model the creep rupture of thermoplastics. He applied the Reiner-Weissenberg (R-W) theory [8] with success to determine the linear viscoleastic limit.…”

Section: Introductionmentioning

confidence: 99%

Time-dependent failure criteria for lifetime prediction of polymer matrix composite structures

Guedes

2011

Creep and Fatigue in Polymer Matrix Composites

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The use of fibre -reinforced polymers in civil construction applications originated structures with a high specific stiffness and strength. Although these structures usually present a high mechanical performance, their strength and stiffness may decay significantly over time. This is mainly due to the viscoelastic nature of the matrix, damage accumulation and propagation within the matrix and fibre breaking. One serious consequence, as a result of static fatigue (creep failure), is a premature failure which is usually catastrophic. However in civil engineering applications, the structural components are supposed to remain in service for 50 years or more in safety conditions.One argument used to replace steel by polymer-matrix composites is its superior corrosion resistance. Yet stress corrosion of glass fibre s takes place as soon as moisture reaches the fibre by absorption. This phenomenon accelerates fibre breaking. In most 2 civil engineering applications, glass-fibre reinforced polymers (GRP) are the most common especially because raw material is less expensive.The lack of full understanding of the fundamental parameters controlling long-term materials performance necessarily leads to over-design and, furthermore, inhibits greater utilization. In this context, lifetime prediction of these structures is an important issue to be solved before wider dissemination of civil engineering applications can take place. As an example, standards dealing with certification of GRP pipes require at least 10000 hours of testing for a high number of specimens. Even though these strong requirements may be foreseen as reasonable, concerning the safety of civil engineering applications, they severely restrict the improvement and innovation of new products.The present chapter reviews some theoretical approaches for long-term criteria. Timedependent failure criteria will be presented and developed for practical applications and illustrated with experimental cases.

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On the damage energy of polymers in creep

Cited by 31 publications

References 2 publications

A method for determination of time‐ and temperature‐dependences of stress threshold of linear–nonlinear viscoelastic transition: Energy‐Based Approach

A method for determination of time‐ and temperature‐dependences of stress threshold of linear–nonlinear viscoelastic transition: Energy‐Based Approach

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

Time-dependent failure criteria for lifetime prediction of polymer matrix composite structures

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