The creep rupture of aramid fibre yarns (Twaron 1000 and Kevlar 29) was studied experimentally at different temperatures. The failure stress and strain data were analysed by statistical techniques. The reliability analysis, including extraction of Weibull parameters and distribution estimation, allows useful conclusions on the long term creep rupture behaviour of aramid fibre yarns, mainly on the properties variability and on temperature influence.
WeibullW. (ed.): ‘The phenomenon of rupture in solids’, 153;1939, Stockholm, Royal Swedish Institute of Engineering Research (Ingenioersvetenskaps Akad. Handl.).
2.
WeibullW.: ‘A statistical distribution function of wide applic-ability’, J. Appl. Mech., 1951, 18, 293–297.
3.
ColemanB. D.: ‘On the strength of classical fibres and fibre bundles’, J. Mech. Phys. Solids, 1958, 7, 60–70.
4.
ColemanB. D.: ‘Statistics and time dependence of mechanical breakdown in fibers’, J. Appl. Phys., 1958, 29, 968–983.
5.
DanielsH.: ‘The maximum of a Gaussian process whose mean path has a maximum, with an application to the strength of bundles of fibres’, Adv. AppL Probab., 1945, 21, 315–333.
PhoenixS. L.: ‘Stochastic strength and fatigue of fiber bundles’, Int. J. Fract., 1978, 14, (3), 327–344.
8.
PhoenixS. L.: ‘Statistical theory for the strength of twisted fiber bundles with applications to yarns and cables’, Textile Res. 1, 1979, 49, 407–423.
9.
HarlowD. G. and PhoenixS. L.: ‘The chain-of-bundles probability model for the strength of fibrous materials I: analysis and conjectures’, J. Compos. Mater., 1978, 12, (2), 195–214.
10.
HarlowD. G. and PhoenixS. L.: ‘The chain-of-bundles probability model for the strength of fibrous materials II: a numerical study of convergence’, J. Compos. Mater., 1978, 12, (3), 314–334.
11.
PhoenixS. L. and SmithR. L.: ‘A comparison of probabilistic techniques for the strength of fibrous materials under local load-sharing among fibers’, Int. J. Solids Struct., 1983, 19, (6), 479–496.
12.
PhoenixS. L. and TierneyL. J.: ‘A statistical model for the time dependent failure of unidirectional composite materials under local elastic load-sharing among fibers’, Eng. Fract. Mech., 1983, 18, (1), 193–215.
13.
SteenbakkersL. W. and WagnerH. D.: ‘Elasticity and mechanical breakdown of Kevlar 149 aramid fibres by a probabilistic approach’, J. Mater. Sci Lett., 1988, 7, (11), 1209–1212.
14.
WagnerH. D., SchwartzP. and PhoenixS. L.: ‘Lifetime statistics for single Kevlar 49 filaments in creep-rupture’, J. Mater. Sci, 1986, 21, (6), 1868–1878.
15.
WagnerH. D.: ‘Dependence of fracture stress upon diameter in strong polymeric fibers’, J. Macromol. Sci B, 1989, 28B, (3), 339–347.
16.
WagnerH. D.: ‘Stochastic concepts in the study of size effects in the mechanical strength of highly oriented polymeric materials’, J. Polym. Sci B, 1989, 27B, (1), 115–149.
17.
WagnerH. D. and SteenbakkersL. W.: ‘Stochastic strength and size effect in ultra-high strength polyethylene fibres’, Philos. Mag. Lett., 1989, 59, (2), 77–85.
18.
WuH. F., PhoenixS. L. and SchwartzP.: ‘Temperature dependence of lifetime statistics for single Kevlar 49 filaments in creep-rupture’, J. Mater. Sci, 1988, 23, (5), 1851–1860.
19.
PhoenixS. L. and WuE. M.: ‘Statistics for the time-dependent failure of Kevlar-49/epoxy composites: micromechanical modeling and data interpretation’, LLNL, Livermore, CA, USA, 1983.
20.
AmaniampongG. and BurgoyneC. J.: ‘Statistical variability in the strength and failure strain of aramid and polyester yarns’, J. Mater. Sci, 1994, 29, (19), 5141–5152.
21.
BeyerleinI. J. and PhoenixS. L.: ‘Statistics for the strength and size effects of microcomposites with four carbon fibers in epoxy resin’, Compos. Sci Technol, 1996, 56, (1), 75–92.
22.
BurrowM. F., ThomasD., SwainM. V. and TyasM. J. M. J.: ‘Analysis of tensile bond strengths using Weibull statistics’, Biomaterials, 2004, 25, (20), 5031–5035.
23.
CreasyT. S.: ‘A method of extracting Weibull survival model parameters from filament bundle load/strain data’, Compos. Sci Technol, 2000, 60, (6), 825–832.
24.
CreasyT. S.: ‘Modeling analysis of tensile tests of bundled filaments with a Bimodal Weibull survival function’, J. Compos. Mater., 2002, 36, (2), 183–194.
25.
DooleyT., CreasyT. S. and CuellarA.: ‘Extraction of Weibull parameters from fiber bundle experiments through Fourier deconvolution’, Composites Part A, 2000, 31A, (11), 1255–1260.
26.
HarlowD. G.: ‘Probability versus statistical modeling: Examples from fatigue life prediction’, Int. J. Rehab., QuaL Safety Eng., 2005, 12, (6), 535–550.
27.
WeiR. P. and HarlowD. G.: ‘Mechanistically based probability modelling, life prediction and reliability assessment’, Model. Simul. Mater. Sci Eng., 2005, 13, (1), R33—R51.
28.
FallatahG. M., DoddsN. and GibsonA. G.: ‘Long term creep and stress rupture of aramid fibre’, Plast. Rubber Compos., 2007, 36, (9), 403–412.
29.
AlwisK. and BurgoyneC.: ‘Time-temperature superposition to determine the stress-rupture of aramid fibres’, Appl. Compos. Mater., 2006, 13, (4), 249–264.
30.
‘Thermoplastic pipes for the transport of fluids — methods of extrapolation of hydrostatic stress rupture data to determine the long-term hydrostatic strength of thermoplastic pipe materials’, ISO9080: 2003.
