WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 10, 2015
Generalization of PER Model for the Whole Liner Height Analysis of Asymmetric Shaped Charges
Authors: Mohammad Javad Tabatabaie Fakhar, Mohammad Hossein Abolbashari
Abstract: This paper presents a model that explains the liner collapse phenomenon for the whole liner height analysis of conical shaped charges in presence of geometrical asymmetries. In presence of geometrical asymmetries, the velocities of the elements lying on the two arms of the liner may not be symmetric. Therefore, the elements colliding at the core will have different distances from the nominal axis of symmetry, and of course will not meet on the axis. Some solution methods which are applicable to asymmetric models, converge for conditions such as incomplete traversing of the wave front over the liner, and therefore are not applicable for general description of jet and slug formation. With those methods the detonation wave can traverse 72% to 90% of the liner height for a typical shaped charge. In fact, because of ill-conditioning and/or numerical errors, convergence is not guaranteed with other solution methods near the end positions of the liner (near the base). In the proposed model, a generalized form of classical jet formation theory and its proper solution method is developed for analysis of the whole liner in asymmetric conditions. The present method can solve the generalized form of the PER model to 100% of the liner height. Thus the determination of the asymmetry effects of the whole liner height is easily possible. In other words, in the present paper a different method has been proposed that determines the core coordinate and its motion for the whole liner height. In the present model, the specifications of the jet and slug, such as off-axis jet velocity is validated with previous works.
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Pages: 135-141
WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 10, 2015, Art. #13