Blind benchmarking of seven longitudinal tensile failure models for two virtual unidirectional composites

We discuss the cooperative failure dynamics in the fiber bundle model where the individual elements or fibers are Hookean springs that have identical spring constants but different breaking strengths. When the bundle is stressed or strained, especially in the equal-load-sharing scheme, the load supported by the failed fiber gets shared equally by the rest of the surviving fibers. This mean-field-type statistical feature (absence of fluctuations) in the load-sharing mechanism helped major analytical developments in the study of breaking dynamics in the model and precise comparisons with simulation results. We intend to present a brief review on these developments.

show abstract

“…[1,26], and the "impregnated fiber bundle" models for which the readers may be referred to Refs. [56,57].…”

Section: Discussionmentioning

confidence: 99%

Cooperative Dynamics in the Fiber Bundle Model

2021

View full text Add to dashboard Cite

show abstract

“…[1] and [28] and the 'impregnated fiber bundle' models, for which the readers may be referred to the Refs. [65,66].…”

Section: Discussionmentioning

confidence: 99%

Cooperative dynamics in the Fiber Bundle Model

Chakrabarti¹,

Biswas²,

Pradhan³

2020

Preprint

View full text Add to dashboard Cite

We discuss the cooperative failure dynamics in the Fiber Bundle Model where the individual elements or fibers are Hookean springs, having identical spring constant but different breaking strengths. When the bundle is stressed or strained, especially in the equal-load-sharing scheme, the load supported by the failed fiber gets shared equally by the rest of the surviving fibers. This meanfield type statistical feature (absence of fluctuations) in the load-sharing mechanism helped major analytical developments in the study of breaking dynamics in the model and precise comparisons with simulation results. We intend to present a brief review on these developments.

show abstract

“…(6) The longitudinal tensile failure of composites is, to a large extent, determined by the Weibull fibre strength distribution and by the stress redistribution resulting from the failure of individual fibres. Some outstanding open questions include a possible "in-situ" Weibull fibre strength distribution that differs from that measured in the tests conducted in dry fibres/tows, and the magnitude of stress concentration gradients across undamaged fibres located close to a broken one [24,25].…”

Section: Introductionmentioning

confidence: 99%

Nanomechanics serving polymer-based composite research

Pardoen¹,

Klavzer²,

Gayot³

et al. 2021

Comptes Rendus. Physique

View full text Add to dashboard Cite

Tremendous progress in nanomechanical testing and modelling has been made during the last two decades. This progress emerged from different areas of materials science dealing with the mechanical behaviour of thin films and coatings, polymer blends, nanomaterials or microstructure constituents as well as from the rapidly growing field of MEMS. Nanomechanical test methods include, among others, nanoindentation, in-situ testing in a scanning or transmission electron microscope coupled with digital image correlation, atomic force microscopy with new advanced dynamic modes, micropillar compression or splitting, on-chip testing, or notched microbeam bending. These methods, when combined, reveal the elastic, plastic, creep, and fracture properties at the micro-and even the nanoscale. Modelling techniques including atomistic simulations and several coarse graining methods have been enriched to a level that allows treating complex size, interface or surface effects in a realistic way. Interestingly, the transfer of this paradigm to advanced long fibre-reinforced polymer composites has not been as intense compared to other fields. Here, we show that these methods put together can offer new perspectives for an improved characterisation of the response at the elementary fibre-matrix level, involving the interfaces and interphases. Yet, there are still many open issues left to resolve. In addition, this is the length scale, typically below 10 micrometres, * Corresponding author.

show abstract

Blind benchmarking of seven longitudinal tensile failure models for two virtual unidirectional composites

Cited by 17 publications

References 39 publications

Cooperative Dynamics in the Fiber Bundle Model

Cooperative Dynamics in the Fiber Bundle Model

Cooperative dynamics in the Fiber Bundle Model

Nanomechanics serving polymer-based composite research

Contact Info

Product

Resources

About