Reliability of Daniels Systems with Local Load Sharing Subject to Random Time Dependent Inputs
Daniels systems consist of n parallel brittle fibers and can carry load in damage states m = n, n−1, ..., 1 characterized by m unfailed fibers and n–m failed fibers (Fig. 1). It is assumed that the distribution of the applied load among fibers presents concentrations in a vicinity of failed fibers (local load sharing rule) consistent with the stress distribution observed in composite and fiber-reinforced materials (9). Most studies on the reliability of Daniels systems involve elementary loading conditions, e.g, time-invariant and monotonic loads (8,10). Dynamic loads began to be considered recently for Daniels systems with the equal load sharing rule (1,2,3,4).
KeywordsFailure Probability Spatial Configuration Damage State Local Load Failure Path
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