Applied High-Speed Plate Penetration Dynamics (Solid - download pdf or read online

By Gabi Ben-Dor

The monograph is predicated at the result of the authors received over the last decade and basically in part released in medical periodicals. half I provides a few universal tools of engineering penetration modeling. specific recognition is given to 2 heavily comparable techniques: the localized interplay and hollow space enlargement approximations which are favourite within the monograph. during this half for the 1st time seems a entire description of the localized interplay technique and the instruments for its software to penetration mechanics. half II is dedicated, mostly, to form optimization of impactors utilized to diversified media (metal, concrete, FRP laminate) and utilizing varied impactor-shield interplay versions. half III offers with research and optimization of multi-layered shields opposed to ballistic influence. during this a part of the monograph the impression of the order of the plates within the guard and of the spacing among the plates at the ballistic parameters are studied. This half contains the research of the optimal constitution of metal/ceramic shields. even if the emphasis within the ebook is at the analytical equipment, rigorous mathematical proofs and numerical simulations supplement one another within the booklet, and the implications are awarded in an illustrative demeanour. The monograph is self-contained and assumes simply uncomplicated wisdom of sturdy mechanics and arithmetic. The short exposition of the mandatory more information is gifted within the booklet.

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Extra info for Applied High-Speed Plate Penetration Dynamics (Solid Mechanics and Its Applications)

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For high altitudes, at which the medium is very rarefied, a simple model could be used to describe a free molecular flow. For low altitudes, at which the atmosphere is relatively dense, various versions of Newton’s model were used. The models that worked well for these two extreme situations did indeed have a theoretical foundation and turned out to be LIMs. Theoretical predictions concerning models with the same degree of simplicity for the intermediate range of altitudes were not available, a situation exacerbated by the fact that calculations for these flow conditions were the most problematic.

During penetration of a sharp straight cone into a SIS (as well as into a SFT), the projection of the lateral surface of the impactor inside the shield upon the plane normal to its direction of motion may be written as: ∆σ ( h ) = π [ Θ ( h ) tanυ ] 2 − π [ θ ( h ) tanυ ] 2 . 6) Then neglecting friction (a method can easily be generalized for a case with friction) and taking into account Eqs. 12), we can rewrite Eq. 1) as follows: D = Ω n (sin υ , v )∆σ ( h ) . , FD = FD ( υ ,v ) . Then, for each penetrator, function FD will assume the same values for the same penetration velocity, although this velocity in different experiments can be attained at different penetration depths.

4), in the following form, which is more convenient when optimization problems are investigated: D0 ( v ) = Ω n ( 1,v )σ ( L ) 2π L ∫ ∫ + dx {[ Ω n ( u ,v ) − Ω n ( 1,v )]ΦΦ x + µ fr Ω n ( u ,v ) Φ 2 + Φϑ2 }dϑ . 5) 0 The equation of impactor motion (Eq. 20) can be simplified: mv dv b + D0 ( v ) = 0 .

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