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Probabilistic mechanics of self–affine cracks in paper sheets
- Source :
- Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 455:2565-2575
- Publication Year :
- 1999
- Publisher :
- The Royal Society, 1999.
-
Abstract
- Crack mechanics in single–notched sheets of paper is analysed by an approach that combines the concept of virtual crack trajectory ensemble with self–affine crack mechanics formalism. The crack initiation criterion is determined for three kinds of paper. The probability distributions of crack roughness and strength parameters are established. A probabilistic model of self–affine crack propagation in paper is proposed.
- Subjects :
- Materials science
General Mathematics
General Engineering
Probabilistic logic
General Physics and Astronomy
Fracture mechanics
Statistical model
Mechanics
Surface finish
Physics::Classical Physics
Physics::Geophysics
Condensed Matter::Materials Science
Formalism (philosophy of mathematics)
Crack initiation
Probability distribution
Affine transformation
Subjects
Details
- ISSN :
- 14712946 and 13645021
- Volume :
- 455
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- Accession number :
- edsair.doi...........00bcbb8d6205f50f167f666dcab044ec