Creep rupture of viscoelastic fiber bundles

Hidalgo, R. C.; Kun, Ferenc; Herrmann, Hans J.

doi:10.1103/physreve.65.032502

Cited by 85 publications

(134 citation statements)

References 16 publications

Supporting

Mentioning

130

Contrasting

Order By: Relevance

“…We next show how to understand this using a viscoelastic serial fiber bundle model (SFBM) [5,35,36]. The SFBM exhibits an early strain-hardening material response, thus mimicking the slowing creep rate (primary or secondary types of creep).…”

Section: Localization Of Deformation and Lifetime Distributionsmentioning

confidence: 99%

“…Analogous to the loading geometry of the creep experiments, the fiber bundle layers (of which there are N s , with N p fibers each) carry load in series, each having a random failure threshold, allowing for an eventual localization of deformation to a single layer. We simulate viscoelastic SFBMs with a fixed total number of fibers, N = N p × N s = 256 000, for various N s , each with viscoelastic constitutive behavior [5,35]. That behavior is modeled by a Kelvin-Voigt element [35], or the constitutive equation σ 0 = β t + E of the fibers, with β a damping constant, E the Young modulus, and σ 0 the constant external load (here we set β = E = 1 for simplicity).…”

Section: Localization Of Deformation and Lifetime Distributionsmentioning

confidence: 99%

“…We simulate viscoelastic SFBMs with a fixed total number of fibers, N = N p × N s = 256 000, for various N s , each with viscoelastic constitutive behavior [5,35]. That behavior is modeled by a Kelvin-Voigt element [35], or the constitutive equation σ 0 = β t + E of the fibers, with β a damping constant, E the Young modulus, and σ 0 the constant external load (here we set β = E = 1 for simplicity). In addition to such viscoelastic dynamics, we include a failure criterion for the fibers, implying that a fiber fails if its strain exceeds a local and random failure threshold c with a probability density p( c ).…”

Section: Localization Of Deformation and Lifetime Distributionsmentioning

confidence: 99%

See 2 more Smart Citations

Predicting sample lifetimes in creep fracture of heterogeneous materials

et al. 2016

View full text Add to dashboard Cite

Materials flow-under creep or constant loads-and, finally, fail. The prediction of sample lifetimes is an important and highly challenging problem because of the inherently heterogeneous nature of most materials that results in large sample-to-sample lifetime fluctuations, even under the same conditions. We study creep deformation of paper sheets as one heterogeneous material and thus show how to predict lifetimes of individual samples by exploiting the "universal" features in the sample-inherent creep curves, particularly the passage to an accelerating creep rate. Using simulations of a viscoelastic fiber bundle model, we illustrate how deformation localization controls the shape of the creep curve and thus the degree of lifetime predictability.

show abstract

Section: Localization Of Deformation and Lifetime Distributionsmentioning

confidence: 99%

Section: Localization Of Deformation and Lifetime Distributionsmentioning

confidence: 99%

Section: Localization Of Deformation and Lifetime Distributionsmentioning

confidence: 99%

See 1 more Smart Citation

Predicting sample lifetimes in creep fracture of heterogeneous materials

et al. 2016

View full text Add to dashboard Cite

show abstract

“…We will build the sintering part of our model on [18] but include as well the load relaxation, as it may occur during creep deformation. Creep rupture of fibrous materials has been modeled with two different versions of FBMs [21][22][23]: with viscoelastic fibers following the Kelvin-Voigt model (spring and dashpot parallel), and with elastic fibers, which became Maxwell elements (spring and dashpot in series) after failure. Both models showed a transition with increasing load from a stable partially failed state to an unstable state that ends with failure.…”

Section: Introductionmentioning

confidence: 99%

Fiber-bundle model with time-dependent healing mechanisms to simulate progressive failure of snow

et al. 2018

View full text Add to dashboard Cite

Snow is a heterogeneous material with strain-and/or load-rate-dependent strength. In particular, a transition from ductile-to-brittle failure behavior with increasing load rate is observed. The rate-dependent behavior can partly be explained with the existence of a unique healing mechanism in snow that stems from its high homologous temperature (temperature close to melting point). As soon as broken elements in the ice matrix get in contact, they start sintering and the structure may regain strength. Moreover, the ice matrix is subjected to viscous deformation, inducing a relaxation of local load concentrations and, therefore, further counteracting the damage process. Ideal tools for studying the failure process of heterogeneous materials are the fiber-bundle models (FBMs), which allow investigating the effects of basic microstructural characteristics on the general macroscopic failure behavior. We present an FBM with two concurrent time-dependent healing mechanisms: sintering of broken fibers and relaxation of load inhomogeneities. Sintering compensates damage by creating additional intact, load-supporting fibers which lead to an increase of the bundle strength. However, the character of the failure is not changed by sintering alone. With combined sintering and load relaxation, load is distributed from old stronger fibers to new fibers that carry fewer load. So as we additionally incorporated load redistribution to the FBM, the failure occurred suddenly without decrease of the order parameter-describing the amount of damage in the bundle-and without divergence of the fiber failure rate. Moreover, the b value, i.e., the power-law exponent of frequency-magnitude statistics of fibers breaking in load redistribution steps, at failure converged to b ≈ 2, a value higher than that of a classical FBM without healing (b = 3 2 ). These results indicate that healing, as the combined effect of sintering and load relaxation, changes the type of the phase transition at failure. This change of the phase transition is important for quantifying or predicting the failure (e.g., by monitoring acoustic emissions) of snow or other materials for which healing plays an important role.

show abstract

“…Time-dependent fracture was approached by generalizations of FBM. In these models each fibre obeys a time-dependent constitutive law [23]. These models were also extended to interface creep failure [24].…”

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

View full text Add to dashboard Cite

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.

show abstract

Creep rupture of viscoelastic fiber bundles

Cited by 85 publications

References 16 publications

Predicting sample lifetimes in creep fracture of heterogeneous materials

Predicting sample lifetimes in creep fracture of heterogeneous materials

Fiber-bundle model with time-dependent healing mechanisms to simulate progressive failure of snow

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

Contact Info

Product

Resources

About