scholarly journals Statistical strength of twisted fiber bundles with load sharing controlled by frictional length scales

2007 ◽  
Vol 2 (4) ◽  
pp. 773-791 ◽  
Author(s):  
Pankaj Porwal ◽  
Irene Beyerlein ◽  
Stuart Phoenix
Keyword(s):  
Load Sharing ◽  
Fiber Bundles ◽  
Statistical Strength ◽  
Length Scales ◽  
Twisted Fiber

Testing and Simulation of Stress-Stiffening Extreme Poisson’s Ratio Twisted Fiber-Reinforced Elastomer Composites

2008 ◽  
Author(s):  
Larry D. Peel ◽  
Madhuri Lingala
Keyword(s):  
Double Helix ◽  
Fiber Bundles ◽  
Fiber Reinforced ◽  
Element Analysis ◽  
Morphing Aircraft ◽  
Active Vibration ◽  
Elastomer Composites ◽  
Poisson's Ratios ◽  
Poisson’S Ratios ◽  
Twisted Fiber

Laminates that exhibit high and negative Poisson’s ratios can be used as solid-state actuators, passive and active vibration dampers, and for morphing aircraft structures. Recently, fiber-reinforced elastomer (FRE) laminates have been fabricated that exhibit extreme (high and negative) Poisson’s ratios [1]. The current research explores twisted fiber bundle elastomeric laminates (both single and double helix) which are being investigated using experimentation, linear and non-linear finite element analysis (FEA). Twisted fiber bundles can be made from carbon fibers, fiberglass, etc, but for simplicity the current work uses twisted cotton string. It is observed that uniaxial fiber-reinforced elastomer laminates, where the fibers are twisted as shown in Figure 1, exhibit stress stiffening. Negative Poisson’s ratios may be produced if the fiber bundles have a double helical path as simulated by a series of laminated tubes. Future auxetic FRE laminates may be developed that do experience extreme shear.

Analysis of Energy Dissipation in Twisted Fiber Bundles Under Cyclic Tensile Loading

2002 ◽  
Vol 72 (7) ◽  
pp. 585-593 ◽  
Author(s):  
Y. Qiu ◽  
Y. Wang ◽  
M. Laton ◽  
J.Z. Mi
Keyword(s):  
Energy Dissipation ◽  
Tensile Loading ◽  
Fiber Bundles ◽  
Twisted Fiber

Asymptotic bounds on the time to fatigue failure of bundles of fibers under local load sharing

1982 ◽  
Vol 14 (01) ◽  
pp. 95-121 ◽  
Author(s):  
Luke Tierney
Keyword(s):  
Fatigue Failure ◽  
General Framework ◽  
Applied Load ◽  
Tensile Load ◽  
Load Sharing ◽  
Local Load ◽  
Fiber Bundles ◽  
Asymptotic Bounds ◽  
Parallel Arrangement ◽  
A Chain

A fiber bundle is a parallel arrangement of fibers. Under a steady tensile load, fibers fail randomly in time in a manner that depends on how they share the applied load. The bundle fails when all its fibers have failed in a specified region.In this paper we consider the fatigue failure of such a bundle in a fiber load-sharing setting appropriate for composite materials, that is, to bundles impregnated with a flexible matrix. The bundle is actually modelled as a chain of short bundles, and local load sharing is assumed for the fibers within each short bundle. The chain of bundles fails once all the fibers in one of the short bundles have failed.Reasonable assumptions are made on the stochastic failure of individual fibers. A general framework for describing fiber bundles is developed and is used to derive the limiting distribution of the time to the first appearance of a set ofkor more adjacent failed fibers as the number of fibers in the bundle grows large. These results provide useful bounds on the distribution of the time to total bundle failure. Some implications and extensions of these results are discussed.

The Distribution of Simultaneous Fiber Failures in Fiber Bundles

1992 ◽  
Vol 59 (4) ◽  
pp. 909-914 ◽  
Author(s):  
Per C. Hemmer ◽  
Alex Hansen
Keyword(s):  
Power Law ◽  
Load Sharing ◽  
Statistical Distribution ◽  
Fiber Bundles ◽  
Expected Number ◽  
Parallel Fibers ◽  
Breakdown Process ◽  
Universal Power Law ◽  
Complete Failure ◽  
The Individual

A bundle of many parallel fibers, with stochastically distributed thresholds for individual fibers, is loaded until complete failure. Equal load sharing is assumed. During the breakdown process, bursts of several fibers breaking simultaneously at a given load occur. We determine the expected number of such bursts before complete failure, as well as the frequency of bursts in which Δ fibers break simultaneously. This distribution follows asymptotically a universal power-law Δ−5/2, for any statistical distribution of the individual fiber strengths.

Burst-size distribution in fiber-bundles with local load-sharing

1994 ◽  
Vol 193 (5-6) ◽  
pp. 425-430 ◽  
Author(s):  
S.D. Zhang ◽  
E.J. Ding
Keyword(s):  
Size Distribution ◽  
Burst Size ◽  
Load Sharing ◽  
Local Load ◽  
Fiber Bundles

Asymptotic bounds on the time to fatigue failure of bundles of fibers under local load sharing

1982 ◽  
Vol 14 (1) ◽  
pp. 95-121 ◽  
Author(s):  
Luke Tierney
Keyword(s):  
Fatigue Failure ◽  
General Framework ◽  
Applied Load ◽  
Tensile Load ◽  
Load Sharing ◽  
Local Load ◽  
Fiber Bundles ◽  
Asymptotic Bounds ◽  
Parallel Arrangement ◽  
A Chain

A fiber bundle is a parallel arrangement of fibers. Under a steady tensile load, fibers fail randomly in time in a manner that depends on how they share the applied load. The bundle fails when all its fibers have failed in a specified region.In this paper we consider the fatigue failure of such a bundle in a fiber load-sharing setting appropriate for composite materials, that is, to bundles impregnated with a flexible matrix. The bundle is actually modelled as a chain of short bundles, and local load sharing is assumed for the fibers within each short bundle. The chain of bundles fails once all the fibers in one of the short bundles have failed.Reasonable assumptions are made on the stochastic failure of individual fibers. A general framework for describing fiber bundles is developed and is used to derive the limiting distribution of the time to the first appearance of a set of k or more adjacent failed fibers as the number of fibers in the bundle grows large. These results provide useful bounds on the distribution of the time to total bundle failure. Some implications and extensions of these results are discussed.

scholarly journals Local load sharing fiber bundles with a lower cutoff of strength disorder

2006 ◽  
Vol 74 (3) ◽  
Author(s):  
Frank Raischel ◽  
Ferenc Kun ◽  
Hans J. Herrmann
Keyword(s):  
Load Sharing ◽  
Local Load ◽  
Fiber Bundles ◽  
Lower Cutoff
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