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Geometric Models of the Statistical Theory of Fragmentation
Theoretical and Mathematical Physics, 2001We propose an approach to describing a medium fragmentation process based on studying the stochastic geometry of the medium states. This approach allows accounting for the interrelation of the produced fragments relative to their positions and, in particular, allows taking the size of the fragmenting object into account. We use this approach to analyze
Yu. P. Virchenko, O. I. Sheremet
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An Application of Geometric Statistics to Dynamic Fragmentation
1986One-dimensional fragmentation, viewed as a random Poisson process, results in an exponential distribution of particle sizes which compares well with expanding ring fragmentation data. Extending geometric concepts of random Poisson processes to areas and volumes results in theoretical distributions that are construction dependent, although there are ...
M. E. Kipp, D. E. Grady
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Statistical mechanics and dynamics of molecular fragmentation
Il Nuovo Cimento B Series 11, 1981The foundations of the use of statistical-mechanical equations of motion, in particular the Pauli equation, for the description of intramolecular processes and molecular fragmentation are discussed briefly. Quantum-mechanical trajectories for model systems illustrate how the statistical behaviour may emerge from the dynamical equations of motion ...
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Discussion of a statistical theory of fragmentation processes
Mechanics of Materials, 1985Abstract Microcracking comes into play in many cases of brittle response of solids to applied load. Since the cracks are readily observable and their behavior is a subject of both common experience and extensive scientific investigation, it is natural that one would try to take explicit account of them in modeling deformation behavior.
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Statistics of Impact Fragmentation of a Steel Sphere
International Journal of Impact Engineering, 2003The dynamic fragmentation of a 2-mm steel spherical projectile at normal impact velocities ranging from 2.5 to 7.3 km/s impacting 1-mm bumper plates has been studied. The duralumin bumper and the porous bumper made from low-pressed fine copper powder with a density from 2.2 to 4 g/cc have been used.
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Statistical emission of complex nuclear fragments
Nuclear Physics A, 1987Abstract A statistical formalism for the rapid calculation of the multiplicities, spectra and angular distributions of fragments emitted from a highly excited nucleus is presented. Special emphasis is placed on the role of the angular momentum in these processes and a comparison with other approaches is provided.
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How fire interacts with habitat loss and fragmentation
Biological Reviews, 2021Andrea Duane +2 more
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Fragmentation Methods: A Route to Accurate Calculations on Large Systems
Chemical Reviews, 2012Mark Gordon +2 more
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Energy-Based Molecular Fragmentation Methods
Chemical Reviews, 2015Ryan Bettens, Michael Collins
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