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Asymptotic Strength of a Planar Local Load Sharing Composite
Theoretical and Monte Carlo Study of Lifetime Distribution
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2D array 2D HVLLS 5-bundle failure 5-bundle strength applied load approximation approximation error asymptotic Beyerlein broken fibers characteristic distribution function cluster edge cluster growth model cluster of breaks composite failure composite lifetime Composite Materials composite strength convergence critical cluster decreases dispersed failure mode eigenvectors elastic matrix empirical weakest link equal load sharing failure configurations failure process fiber adjacent fiber arrays fiber breaks fiber direction fiber load fiber strength fibers to fail Figure fracture mechanics Gaussian Hooke's law ID HLLS intact fibers lifetime distribution load sharing bundle load-sharing model log-normal lower tail Monte Carlo simulations neighbors normal distribution normalized number of fibers oooooooooooooooooooooooooooooo oooooooooooooooooooooooooooooo oooooooooooooooooooooooooooooo overload length periodic boundary conditions Phoenix planar plane plotted power law probability of failure r-cluster random variables Section shear shear-lag single break standard representative random strength distribution stress concentration ahead sub-bundle transverse unit cell viscoelastic weak-linked Weibull distribution Weibull fibers