The article proposes a method for characterizing the in situ interaction between filaments in a multifilament yarn. The stress transfer between neighboring filaments causes the reactivation of a broken filament at some distance from the break. The utilized statistical bundle models predict a change in the slope of the mean size effect curve once the specimen length becomes longer than the stress transfer length. This fact can be exploited in order to determine the stress transfer length indirectly using the yarn tensile test with appropriately chosen test lengths. The identification procedure is demonstrated using two test series of tensile tests with AR-glass and carbon yarns.
ChudobaRVořechovskýMKonradM. Stochastic modeling of multi-filament yarns I: Random properties within the cross-section and size effectInt J Solids Struct2006; 43(3–4): 413–434.
2.
VořechovskýMChudobaR. Stochastic modeling of multi-filament yarns: II. Random properties over the length and size effectInt J Solids Struct2006; 43(3–4): 435–458.
3.
HeggerJBruckermannOVossS. AR-glass and carbon fibers in textile reinforced concrete-simulation and design. ACI Symposium Publications, 244–CD, Farmington Hills, MI, 2007, pp. 57–76.
4.
Hegger J, Sherif A, Bruckermann O and Konrad M. Textile reinforced concrete: investigations at different levels ACI. Symposium Publications, 224, Farmington Hills, MI 2004, 33–44.
5.
Banholzer B. Bond behaviour of a multi-filament yarn embedded in a cementitious matrix. PhD thesis, 2004.
6.
ChudobaRVořechovskýMEckersVGriesT. Effect of twist, fineness, loading rate and length on tensile behavior of multifilament yarns (a multivariate study)Text Res J2007; 77(11): 880–891.
7.
PhoenixSL. Statistical theory for the strength of twisted fiber bundles with application to yarns and cablesText Res J1979; 49(7): 407–423.
8.
RealffMPanNSeoMBoyceMBackerS. A stochastic simulation of the failure process and ultimate strength of blended continuous yarnsText Res J2000; 70(5): 415–430.
9.
PorwalPKBeyerleinIJPhoenixSL. Statistical strength of twisted fiber bundles with load sharing controlled by frictional length scalesJ Mater Struct2007; 2(4): 773–791.
10.
GurvichMRDibenedettoATPegorettiA. Evaluation of the statistical parameters of a Weibull distributionJ Mater Sci1997; 32(14): 3711–3716.
11.
PanNChenHCThompsonJInglesbyMKKhatuaSZhangXS. The size effects on the mechanical behaviour of fibresJ Mater Sci1997; 32(10): 2677– 2685.
12.
HarlowDGPhoenixSL. The chain-of-bundles probability model for the strength of fibrous materials II: A numerical study of convergenceJ Compos Mater1978; 12(3): 314–334.
13.
HarlowDGSmithRLTaylorHM. Lower tail analysis of the distribution of the strength of load-sharing systemsJ Appl Prob1983; 20(2): 358–367.
14.
VořechovskýM. Incorporation of statistical length scale into Weibull strength theory for compositesCompos Struct2010; 92(9): 2027–2034.
15.
WatsonASmithR. An examination of statistical theories for fibrous materials in the light of experimental dataJ Mater Sci1985; 20(9): 3260–3270.
16.
PanN. Prediction of statistical strengths of twisted fibre structuresJ Mater Sci1993; 28(22): 6107–6114.
17.
PanNChenHCThompsonJInglesbyMKZeronianSH. Investigation on the strength-size relationship in fibrous structures including compositesJ Mater Sci1998; 33(10): 2667–2672.
18.
KeeHCSungHJ. Bundle strength of polyester fibers determined using a series-parallel combination modelJMater Sci2005; 40: 5341–5347.
19.
DanielsHE. The statistical theory of the strength of bundles of threads. IProc R Soc Lond A1945; 183(995): 405–435.
20.
SmithRL. The asymptotic distribution of the strength of a series-parallel system with equal load-sharingAnn Probab1982; 10(1): 137–171.
21.
HarlowDGPhoenixSL. The chain-of-bundles probability model for the strength of fibrous materials I: Analysis and conjecturesJ Compos Mater1978; 12(2): 195–214.
22.
ColemanBD. On the strength of classical fibres and fibre bundlesJ Mech Phys Solids1958; 7(1): 60–70.
23.
SmithLRPhoenixLS. Asymptotic distributions for the failure of fibrous materials under series-parallel structure and equal load-sharingJ Appl Mech1981; 48(1): 75–82.
24.
GumbelEJ. Statistics of extremes. New York: Columbia University Press, 1958.
25.
ZhandarovSMäderE. Characterization of fiber/matrix interface strength: applicability of different tests, approaches and parametersCompos Sci Technol2005; 65(1): 149–160.
