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In this paper,we consider the cable as a bundle consisting of n sub-bundles,with mparallel tension members per sub-bundle,and the tension members themselves are polymeric yarns im-pregnated with a resin matrix.The nonfailed members at any instant must share an applied system loadaccording to some rule,since there is a clearly expressed dependence of the fracture on the durationand character of the loading.So then,the fracture of cable is a process of nonlinear dynamic evolu-tion,which accommodates to the non-equilibrium thermodynamics of irreversible processes by itself.Let us assume that the polymeric yarns are as viscoelastic solid,under certain probabilistic assump-tions,according to the principles of theology of bodies with defects,the relationship between the singlemember loading and failure and the bundle loading are investigated.It can be shown that the bundlefailure time is asymptotically normally distributed as the number of members grows large.After astudy of the second order effects of random slack,it is known that the asymptotic mean and varianceare functions of the parameters of loading and single member rhcological behavior.Hence the loss inthe asymptotic bundle strength mean brought about by random member and sub-bundle slack,L.,andthe loss in the asymptotic bundle strength variance caused by random member slack,Δ_(?),are deter-mined.And finally,it is known that the asymptotic time of failure can make up a considerable part ofthe fracture of cable,and the fracture of cable is a time-dependent process of rheological fracture.
In this paper, we consider the cable as a bundle consisting of n sub-bundles, with mparallel tension members per sub-bundle, and the tension members themselves are polymeric yarns im-pregnated with a resin matrix. Nonfailed members at any instant must share an applied system loadaccording to some rule, since there is a clearly represented dependence of the fracture on the duration and character of the loading.So then, the fracture of cable is a process of nonlinear dynamic evolu tion, which accommodates to the non- equilibrium thermodynamics of irreversible processes by itself. Let us assume that the polymeric yarns are as viscoelastic solid, under certain probabilistic assump-tions, according to the principles of theology of bodies with defects, the relationship between the single member loading and failure and the bundle loading are investigated. It can be shown that the bundle failure time is asymptotically normally distributed as the number of members grows large. After astudy of the second order effects of random slack, it is known that the asymptotic mean and varianceare functions of the parameters of loading and single member rhcological behavior .ence the loss inthe asymptotic bundle strength mean carried by random member and sub-bundle slack, L., andthe loss in the asymptotic bundle strength variance caused by random member slack, Δ _ (?), are deter- mined. And finally, it is known that the asymptotic time of failure can make up a considerable part of the fracture of cable, and the fracture of cable is a time-dependent process of rheological fracture.