Applied High-Speed Plate Penetration Dynamics (Solid by Gabi Ben-Dor

By Gabi Ben-Dor

The monograph relies at the result of the authors acquired over the past decade and purely in part released in medical periodicals. half I provides a few universal tools of engineering penetration modeling. specific consciousness is given to 2 heavily similar ways: the localized interplay and hollow space enlargement approximations which are general within the monograph. during this half for the 1st time seems to be a accomplished description of the localized interplay technique and the instruments for its program to penetration mechanics. half II is dedicated, usually, to form optimization of impactors utilized to various media (metal, concrete, FRP laminate) and utilizing diverse impactor-shield interplay versions. half III bargains with research and optimization of multi-layered shields opposed to ballistic influence. during this a part of the monograph the impact of the order of the plates within the guard and of the spacing among the plates at the ballistic parameters are studied. This half comprises the research of the optimal constitution of metal/ceramic shields. even if the emphasis within the publication is at the analytical equipment, rigorous mathematical proofs and numerical simulations supplement one another within the e-book, and the consequences are provided in an illustrative demeanour. The monograph is self-contained and assumes basically uncomplicated wisdom of strong mechanics and arithmetic. The short exposition of the required more information is gifted within the publication.

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In the first traditional – approach, the study of a corresponding physical phenomenon yielded some types of LIMs. The second approach employs the results obtained in gasdynamics for which the LIA was well developed. The third approach is associated with using the concepts of a localized approach (and not always recognizing them as such) directly in impact dynamics. In this section we consider these approaches in brief. 1 Some special localized interaction models To the best of our knowledge, the first LIM describing bullet-barrier interaction during penetration of a projectile through a plate was suggested by Nishiwaki (1951).

Here, we do not intend to reject the application of other methods but only to draw attention to LIT which is a promising method for solving penetration problems already taking root in HSPM. In the exposition that follows, we have adopted LIT viewpoint which is also convenient for better organizing the material. In this chapter, we derived formulas for drag force, DOP and BLV for the basic LIMs used in HSPM. The derived formulas will be used in subsequent chapters. 7. 1) and particular cases thereof.

4) Chapter 2 24 A cone of revolution may be considered as a particular of both case a 3-D conical body and a body of revolution. The equation of its lateral surface is: Φ ( x ,ϑ ) = k0 + kx. 5) If an impactor has a flat bluntness then: σ ( 0 ) = k0 = r = 0 . 6) Formulas for u ,U , σ ( x) and σ ( 0 ) in. Table 2-2 are derived using the corresponding formulas in Table 2-1 and taking into account the equations describing the surface of the impactor. The following formulas for the drag force D of impactors having different shapes are obtained from Eq.

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