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By Dennis Grady
For a short interval in the course of the latter a part of global struggle II, Nevill F. Mott led a theoretical staff at castle Halstead within the uk that tackled medical matters concerning urgent war-time matters. between later awards and honors, Mott used to be knighted and a recipient of the Nobel Prize. whereas at fortress Halstead, he undertook an attempt to theoretically describe the statistical fragmentation of munitions subjected to excessive explosive loading. Mott`s unique inner studies comprise seminal theoretical options at the physics and facts of dynamic fracture and fragmentation, that have supplied the muse for varied later modeling efforts and engineering formulae. a few of his such a lot forward-looking innovations at the micromechanical and molecular facets of fracture are integrated in those courses.
The current booklet surveys the theoretical research positioned forth by means of Mott with specific specialise in his efforts to signify the dimensions and distribution of fragments caused by a dynamic fragmentation occasion. Copies of the unique inner studies of Mott and his co-workers are incorporated. The e-book additionally pursues extra theoretical research with the reason of delving extra into the actual principles and unfinished research implicit in Mott`s unique stories. This ebook might be of curiosity to all scientists and engineers taken with the dynamic fracture and fragmentation of strong our bodies topic to excessive temporary quite a bit imparted by means of explosive detonation and high-velocity influence from either the historic and sleek viewpoint.
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Extra resources for Fragmentation of rings and shells: the legacy of N.F. Mott
Sample text
Mott suggested that the constant p was approximately 5 based on munitions fragments that he had the opportunity to inspect. The present assumption was clearly motivated by observation of fragments from a cylindrical munition fragmentation event in which the nature of the breakup leads to an abundance of elongated fragments. The resulting fragment number distribution is accordingly, dN = 1 e−y/yo −x/py dxdy . 53) over fragment area a and aspect ratio r. 54) 0 or, with the variable change r = pη, 1 1 n (a) = 2pyo2 a ∞ − e a √1 −η 2 η pyo dη .
31) The first is, of course, a special case of the second power law representation for n = 1 leading to a constant or uniform fracture frequency. Mott suggested that the first two expressions could be zero up to some ε = εo taking their functional representation thereafter. This is not of consequence. 31). The three fracture frequency functions are illustrated in Fig. 7. Although, diversely different in this representation, it was shown by Mott that their consequences on fragment size and distribution were not dramatically different.
56) and density distribution, f (m) = 1 −m/µ e . 3 Poisson Fragment Distribution and Statistical Heterogeneity 21 In contrast to the Mott distribution, the present distribution keeps the same linear exponential functional form for both area and volume fragmentation. 2 Sequential Segmentation Grady and Kipp (1985) also pursued justification of their fragment distribution relations through geometric fragmentation methods. With the availability of computational resources they were not restricted to geometries with analytic solutions.