56 research outputs found
A simple beam model for the shear failure of interfaces
We propose a novel model for the shear failure of a glued interface between
two solid blocks. We model the interface as an array of elastic beams which
experience stretching and bending under shear load and break if the two
deformation modes exceed randomly distributed breaking thresholds. The two
breaking modes can be independent or combined in the form of a von Mises type
breaking criterion. Assuming global load sharing following the beam breaking,
we obtain analytically the macroscopic constitutive behavior of the system and
describe the microscopic process of the progressive failure of the interface.
We work out an efficient simulation technique which allows for the study of
large systems. The limiting case of very localized interaction of surface
elements is explored by computer simulations.Comment: 11 pages, 13 figure
Local load sharing fiber bundles with a lower cutoff of strength disorder
We study the failure properties of fiber bundles with a finite lower cutoff
of the strength disorder varying the range of interaction between the limiting
cases of completely global and completely local load sharing. Computer
simulations revealed that at any range of load redistribution there exists a
critical cutoff strength where the macroscopic response of the bundle becomes
perfectly brittle, i.e. linearly elastic behavior is obtained up to global
failure, which occurs catastrophically after the breaking of a small number of
fibers. As an extension of recent mean field studies [Phys. Rev. Lett. 95,
125501 (2005)], we demonstrate that approaching the critical cutoff, the size
distribution of bursts of breaking fibers shows a crossover to a universal
power law form with an exponent 3/2 independent of the range of interaction.Comment: 4 pages, 4 figure
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