44 research outputs found
Scaling Laws of Stress and Strain in Brittle Fracture
A numerical realization of an elastic beam lattice is used to obtain scaling
exponents relevant to the extent of damage within the controlled, catastrophic
and total regimes of mode-I brittle fracture. The relative fraction of damage
at the onset of catastrophic rupture approaches a fixed value in the continuum
limit. This enables disorder in a real material to be quantified through its
relationship with random samples generated on the computer.Comment: 4 pages and 6 figure
Fra tradisjonell forvaltningsvirksomhet til profesjonell servicebedrift : hva kjennetegner virksomheter som lykkes og hva har de gjort for å bli fremragende?
Tema for vår studie har vært å se hva som kjennetegner virksomheter som lykkes, og hva de har gjort for å bli fremragende og utgangspunktet har vært følgende problemstilling: "Hvordan endre en statlig forvaltningsvirksomhet til en profesjonell servicebedrift"
Statistical Physics of Fracture Surfaces Morphology
Experiments on fracture surface morphologies offer increasing amounts of data
that can be analyzed using methods of statistical physics. One finds scaling
exponents associated with correlation and structure functions, indicating a
rich phenomenology of anomalous scaling. We argue that traditional models of
fracture fail to reproduce this rich phenomenology and new ideas and concepts
are called for. We present some recent models that introduce the effects of
deviations from homogeneous linear elasticity theory on the morphology of
fracture surfaces, succeeding to reproduce the multiscaling phenomenology at
least in 1+1 dimensions. For surfaces in 2+1 dimensions we introduce novel
methods of analysis based on projecting the data on the irreducible
representations of the SO(2) symmetry group. It appears that this approach
organizes effectively the rich scaling properties. We end up with the
proposition of new experiments in which the rotational symmetry is not broken,
such that the scaling properties should be particularly simple.Comment: A review paper submitted to J. Stat. Phy
Scaling behaviour of damage in the fracture of two-dimensional elastic beam lattices
The response of stress with strain is one of the fundamental
quantities used to characterize fracture in materials. Exactly how this relationship appears depends on the microscopic structure,
which can vary considerably from material to material. Presently, we study the breaking of materials where the
structural disorder is varied within a broad range, using a model based on elastic beams. A large number of system sizes
is then generated for each level of disorder in order to study the scaling properties of the force-displacement
characteristic. Whereas maximum force and displacement is found to scale trivially, being simply proportional to system
size, the scaling exponents relative to the extent of damage in the stable and unstable regimes of fracture are
found to scale non-trivially. Our calculations contradict earlier findings which suggested that the
scaling is universal with respect to the disorder