Time dependence of breakdown in a global fiber-bundle model with continuous damage

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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APS style, two columns, 4 figures. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.63.066106

A time-dependent global fiber-bundle model of fracture with continuous damage is formulated in terms of a set of coupled non-linear differential equations. A first integral of this set is analytically obtained. The time evolution of the system is studied by applying a discrete probabilistic method. Several results are discussed emphasizing their differences with the standard time-dependent model. The results obtained show that with this simple model a variety of experimental observations can be qualitatively reproduced.

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