Computer simulation of failure in an elastic model with randomly distributed defects
The authors analyze a simple model of failure in an elastic material with randomly distributed defects. The model that they employ is a two-dimensional triangular lattice of springs. These springs are linearly elastic up to some small strain and irreversibly break at larger strain. Defects are introduced into the model by breaking a certain fraction of the springs before straining. During the simulation, a uniaxial strain is applied, the equilibrium configuration of the lattice is determined, and then the strain is incremented again. The failure stress is found to decrease as the fraction of springs removed is increased and decreases logarithmically with linear dimension of the sample L. The cumulative failure stress distribution is well fitted by the form F(sigma) = 1 - exp(cL/sup -2/ exp(-k/sigma/sup ..mu../)), where sigma is the failure stress, ..mu.. is a constant between 1 and 2, and c and k are constants which are characteristic of the microscopic properties of the system.
- Research Organization:
- Dept. of Materials Science and Engineering, Univ. of Michigan, Ann Arbor, MI (US)
- OSTI ID:
- 6626832
- Journal Information:
- J. Am. Ceram. Soc.; (United States), Journal Name: J. Am. Ceram. Soc.; (United States) Vol. 71:5; ISSN JACTA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
360602 -- Other Materials-- Structure & Phase Studies
360603* -- Materials-- Properties
99 GENERAL AND MISCELLANEOUS
990220 -- Computers
Computerized Models
& Computer Programs-- (1987-1989)
COMPUTERIZED SIMULATION
CRYSTAL DEFECTS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DISTRIBUTION
ELASTICITY
FAILURE MODE ANALYSIS
MACHINE PARTS
MATERIALS
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
SIMULATION
SPRINGS
STRAINS
STRESS ANALYSIS
SYSTEM FAILURE ANALYSIS
SYSTEMS ANALYSIS
TENSILE PROPERTIES
TWO-DIMENSIONAL CALCULATIONS