Scaling theory and simulations of fracture in disordered media
Fracture in disordered media is a difficult problem due to a complex interplay between the intrinsic disorder and the evolution of damage. Extensions of network models used to study the elastic and transport properties of random media have been recently used to study fracture. We discuss two representative examples of these models. Randomly diluted networks show a dilute limit singularity and size effect in tensile strength. Bounds on fracture critical exponents are found using percolation theory scaling arguments. Dilute limit fracture statistics obey a modified Gumbel form. Results on networks with random rigid and strong bonds are more preliminary. This system shows a crossover from brittle fracture to a damage mechanism as a function of the volume fraction of stiff inclusions. 19 refs., 6 figs.
- Research Organization:
- Michigan State Univ., East Lansing, MI (USA)
- Sponsoring Organization:
- DOE/ER
- DOE Contract Number:
- FG02-90ER45418
- OSTI ID:
- 6194329
- Report Number(s):
- CONF-901194-13; ON: DE91008516
- Resource Relation:
- Conference: American Society of Mechanical Engineers (ASME) winter annual meeting, Dallas, TX (USA), 25-30 Nov 1990
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
FRACTURING
MATHEMATICAL MODELS
SOLIDS
FRACTURE MECHANICS
FRACTALS
FRACTURES
STRESSES
TENSILE PROPERTIES
COMMINUTION
FAILURES
MECHANICAL PROPERTIES
MECHANICS
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