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El. knyga: High-Speed Penetration Dynamics: Engineering Models and Methods [World Scientific e-book]

(Ben-gurion Univ Of The Negev, Israel), (Ben-gurion Univ Of The Negev, Israel), (Ben-gurion Univ Of The Negev, Israel)
  • Formatas: 696 pages
  • Išleidimo metai: 12-Aug-2013
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789814439053
Kitos knygos pagal šią temą:
  • World Scientific e-book
  • Kaina: 189,42 €*
  • * this price gives unlimited concurrent access for unlimited time
High-Speed Penetration Dynamics: Engineering Models and MethodsDidesnis paveikslėlis
  • Formatas: 696 pages
  • Išleidimo metai: 12-Aug-2013
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-13: 9789814439053
Kitos knygos pagal šią temą:
World Scientific e-booksMore info about World Scientific e-books
Partnerių interneto svetainė: http://www.worldscientific.com/worldscibooks/10.1142/8651#t=toc
This important monograph is the first comprehensive compendium of engineering models used in high-speed penetration mechanics.The book consists of two parts. The first part (more than a quarter of the book's content) is in fact a handbook giving a very detailed summary of the engineering models used for the analysis of high-speed penetration of rigid projectiles into various media (concrete, metals, geological media). The second part of the book demonstrates the possibilities and efficiency of using approximate models for investigating traditional and nontraditional problems of penetration mechanics.Different chapters in the books are devoted to different classes of problems and can be read independently. Each chapter is self-contained, which includes a comprehensive literature survey of the topic, and carries a list of used notations. The bibliography includes more than 700 references.This monograph is a reliable and indispensable reference guide for anyone interested in using engineering models in high-speed penetration mechanics.
Preface v
Part 1 Some Conventional Approaches to Penetration Modeling 1(50)
Chapter 1 Localized Interaction Models (LIMs)
3(38)
1.1 Basics of the Localized Interaction Theory
5(5)
1.2 Impactor-Shield Interaction Surface
10(4)
1.2.1 Semi-infinite shield
10(1)
1.2.2 Shield having a finite thickness
11(3)
1.3 General Relationships for 3-D Impactors
14(5)
1.3.1 Drag force. Equation of motion
14(2)
1.3.2 Residual and ballistic limit velocities. Depth of penetration
16(1)
1.3.3 Impactor Having a Shape of Body of Revolution
17(2)
1.4 Projectiles Having a Shape of Bodies of Revolution. Two-Term Models
19(6)
1.4.1 Arbitrary body of revolution
19(2)
1.4.2 Sharp conical-shaped impactor
21(4)
1.5 Averaged LIMB. General Approach
25(4)
1.5.1 Introduction
25(1)
1.5.2 Shield having a finite thickness
26(2)
1.5.3 Semi-infinite shield
28(1)
1.6 Averaged Two-Term Models
29(9)
1.6.1 General two-term model
29(1)
1.6.2 Shield having a finite thickness
30(2)
1.6.3 Semi-infinite shield
32(1)
1.6.4 Ogive-shaped impactors
33(4)
1.6.5 Summary of two-term models
37(1)
Averaged Three-Term Model
38(2)
1.7 Oversimplified models
40(1)
Chapter 2 Cavity Expansion Approximations
41(10)
2.1 Introduction
42(2)
2.2 Spherical Cavity Expansion Approximation
44(2)
2.3 Cylindrical Cavity Expansion Approximation
46(2)
2.4 Cavity Expansion Approximations and LIMs
48(3)
Part 2 Penetration into Concrete Shields 51(98)
Chapter 3 Empirical models
53(66)
3.1 Introduction
55(1)
3.2 Unified Approach
56(4)
3.3 Modified Petry Formulas
60(2)
3.4 Ballistic Research Laboratory (BRL) Formulas
62(1)
3.5 Whiffen Formula
63(1)
3.6 Army Corporations of Engineers (ACE) Formula
63(1)
3.7 Ammann and Whitney formula
64(1)
3.8 Modified National Defense Research Committee (NDRC) Formula
65(1)
3.9 Kar Formula
66(1)
3.10 Healey-Weissman Formula
67(1)
3.11 Bechtel formula
68(1)
3.12 Stone and Webster Formula
68(1)
3.13 CEA-EDF Formula
69(1)
3.14 Degen Formula
69(1)
3.15 Chang formula
70(1)
3.16 Haldar-Miller Formula
70(2)
3.17 Haldar-Hamieh-Miller Formula
72(1)
3.18 Hughes' Formula
72(1)
3.19 Adeli-Amin Formula :
73(2)
3.20 CRIEPI Formula
75(1)
3.21 Vretblad (British) formula
76(1)
3.22 UKAEA-CEBG-NNC Formulas
76(4)
3.23 Young Formula
80(6)
3.23.1 Original model
80(2)
3.23.2 Modifications of the models
82(4)
3.24 UMIST Formulas
86(4)
3.24.1 Penetration model
86(1)
3.24.2 Perforation and scabbing model and its analysis
86(4)
3.25 Malaysia-UTHM Models
90(2)
3.26 TM 5-855-1 Formulas
92(1)
3.27 Folsom Model for Penetration into a Shield with a Predrilled Hole
93(1)
3.28 Some Other Models and Related Problems
93(1)
3.29 Comparison Between the Models and Their Experimental Validation
94(25)
3.29.1 Brief review
94(2)
3.29.2 Evaluation of the performance of models. Finite width shield
96(9)
3.29.3 Evaluation of the performance of models. Semi-infinite shield
105(14)
Chapter 4 Analytical Models
119(30)
4.1 Semi-Infinite Shields
121(21)
4.1.1 Systematization of models
121(2)
4.1.2 Two-stage models
123(16)
4.1.3 One-stage models
139(3)
4.2 Shield Having a Finite Thickness
142(9)
4.2.1 Brief review
142(1)
4.2.2 Models for estimation of perforation thickness
142(7)
Part 3 Penetration into Metallic Shields 149(58)
Chapter 5 Empirical Models
151(16)
5.1 Early Relations for DOP
152(1)
5.1.1 Morin equation
152(1)
5.1.2 Dideon equation
152(1)
5.1.3 Heli6 equation
152(1)
5.2 De Mane Formula and its Modifications
152(1)
5.3 Charters and Locke Equation
153(1)
5.4 THOR Equations
154(1)
5.5 SRI Equation
155(1)
5.6 Fuchs Model and its Modification
156(1)
5.7 BRL Formula
157(1)
5.8 Grabarek Formula
157(1)
5.9 Healey and Weissman Model
158(1)
5.10 Lambert and Jonas Approximation
159(1)
5.11 Kar Formulas
160(1)
5.12 SwRI Equation
161(2)
5.12.1 Model1
161(1)
5.12.2 Model2
162(1)
5.13 Othe et al. Formula
163(1)
5.14 Neilson Formula
163(1)
5.15 Jowett Formula
164(1)
5.16 Wen and Jones Formulas
164(1)
5.17 Modified SRI and Neilson Formulas
165(1)
5.18 Jones and Kim formulas :
165(1)
5.19 Aly and Li Formulas
165(1)
5.20 Some Other Models and Related Problems
166(1)
Chapter 6 Analytical Models
167(40)
6.1 Introduction
169(2)
6.2 Early Static Cavity Expansion Models
171(2)
6.3 Momentum and Energy Balance Approach
173(8)
6.4 Non Cavity Expansion Models
181(4)
6.5 Quasi-Dynamic Cavity Expansion Models
185(7)
6.6 Dynamic Cavity Expansion Models
192(3)
6.7 Oversimplified Models
195(4)
6.7.1 Shields having a finite thickness
195(3)
6.7.2 Semi-infinite shields
198(1)
6.8 Plugging and Multi-Stage Models
199(5)
6.8.1 Basic simplified model
199(2)
6.8.2 Slezkin model
201(3)
6.9 Some other Models and Related Problems
204(3)
Part 4 Penetration into Geological Shields 207(34)
Chapter 7 Empirical Models
209(16)
7.1 Early Relations for DOP
210(1)
7.1.1 Robins (1742) and Euler (1745) equation
210(1)
7.1.2 Ponselet equation (1829)
210(1)
7.1.3 Resel equation (1895)
210(1)
7.2 Petri Formula (1910)
211(1)
7.3 Some formulas suggested in the 1960s
211(1)
7.3.1 Hermann et. al. equation (1963)
211(1)
7.3.2 Rohani equation (1965)
212(1)
7.4 Young Equations
212(2)
7.4.1 Penetration equations for rock
212(1)
7.4.2 Penetration equations for soil
213(1)
7.4.3 Penetration equations for ice and frozen soil
214(1)
7.5 Berezan' Formula
214(1)
7.6 Modified Berezan' Formula
215(1)
7.7 Zabudsky Formula
216(1)
7.8 Kar Formula
217(1)
7.9 Adeli-Amin-Sierakowski Model
218(1)
7.10 WES models for penetration into rock
218(3)
7.10.1 Bernard model (1977)
219(1)
7.10.2 Bernard model (1978)
220(1)
7.10.3 Bernard and Creighton model (1979)
220(1)
7.11 WES Model for Penetration into Soil
221(1)
7.12 Allen-Mayfield-Morrison Model for Sand
221(1)
7.13 DAFL Model for Soil
222(1)
7.14 Three-Term Models
223(1)
7.15 ConWer-FOI model
223(1)
7.16 Some Other Models and Related Problems
224(1)
Chapter 8 Analytical Models
225(16)
8.1 Moscow State University Models
226(5)
8.1.1 Dynamic CCE model for sharp slender impactors
226(2)
8.1.2 Models for non slender impactors
228(3)
8.2 Ross and Hanagud Model for Ice
231(1)
8.3 Sandia Research Laboratories Models
232(6)
8.3.1 Forrestal-Norwood-Longcope dynamic model
232(1)
8.3.2 Forrestal static models
233(1)
8.3.3 Forrestal and Luk quasi-dynamic models
234(4)
8.3.4 Frew-Forrestal-Hanchak Model for a Limestone Shield
238(1)
8.4 Some Other Models and Related Problems
238(3)
Part 5 Some Special Inverse Problems 241(26)
Chapter 9 Theoretical Basis of the Method
243(12)
9.1 Formulation of the Problem
244(1)
9.2 Equation with Separable Variables
245(6)
9.2.1 General solution
245(3)
9.2.2 Some sub-classes of model
248(3)
9.3 Linear Equation
251(1)
9.4 Bernoulli Equation
252(3)
Chapter 10 Application to Penetration Mechanics
255(12)
10.1 Introduction
256(1)
10.2 High Speed Penetration
257(4)
10.2.1 Inverse problem for NDRC formula for concrete
257(3)
10.2.2 Inverse problem for Young equations
260(1)
10.3 Low Speed Penetration into Granular Media
261(6)
Part 6 Method of Basic Impactors for Prediction of Penetration and Perforation 267(26)
Chapter 11 Simplified Version of the Method
269(8)
11.1 Formulation of the Problem
270(2)
11.2 Solution of the Problem
272(2)
11.3 Example
274(3)
Chapter 12 Complete Version of the Method
277(16)
12.1 Formulation of the Problem
279(3)
12.2 Solution of the Problem
282(6)
12.2.1 General case
282(3)
12.2.2 Class of solutions
285(3)
12.3 Example
288(5)
Part 7 Shape Optimization of Impactors 293(80)
Chapter 13 Survey
295(12)
13.1 Introduction
295(1)
13.2 Optimization Using of~3ndirect Criteria
296(1)
13.3 Optimization Using Direct Criteria
297(5)
13.4 Some Methodological Remarks
302(5)
13.4.1 Analogy between different optimization problems
302(1)
13.4.2 About optimization of 3-D impactors
303(1)
13.4.3 Phenomenon of cavitating penetration
303(1)
13.4.4 Area rules
304(1)
13.4.5 Concluding remarks
304(3)
Chapter 14 Penetration with Non-Constant Friction
307(30)
14.1 Modeling of Ballistic Characteristics
309(17)
14.1.1 Introduction
309(2)
14.1.2 LIMs with velocity and pressure dependent friction coefficient
311(1)
14.1.3 Piecewise linear approximation of generatrix
312(2)
14.1.4 Semi-analytical solutions
314(4)
14.1.5 Numerical simulations and discussion
318(8)
14.2 Shape Optimization of Penetrating Impactors
326(11)
14.2.1 Formulation of the problem and method of solution
326(2)
14.2.2 Mmodel with friction coefficient dependent on sliding velocity
328(2)
14.2.3 Numerical results and conclusions
330(7)
Chapter 15 Semi-Infinite Concrete Shields
337(10)
15.1 Penetration Model
338(3)
15.2 Shape Optimization of Impactor
341(6)
Chapter 16 Metal Shields Having a Finite Thickness
347(10)
16.1 Formulation of the Problem and Mathematical Model
348(3)
16.2 Method of Solution
351(1)
16.3 Numerical Results. Discussion and Conclusions
352(5)
Chapter 17 Fiber-Reinforced Plastic Laminates
357(16)
17.1 Introduction
358(2)
17.2 Mathematical Model
360(6)
17.3 Shape Optimization of Impactors
366(5)
17.3.1 Classical solution on the basis of averaged model
366(1)
17.3.2 Interval optimal solution for truncated cones
367(4)
17.4 Concluding Remarks
371(2)
Part 8 Effectiveness of Segmented Impactors 373(48)
Chapter 18 High-Speed Impact. Simplified Discrete Model
375(16)
18.1 Formulation of the Problem
376(2)
18.2 Study of the Problem Using Two-Term Impactor-Shield Interaction Model
378(6)
18.2.1 Mathematical model
378(1)
18.2.2 Analytical study of case of two segments
379(2)
18.2.3 Results of numerical calculations
381(3)
18.3 Study of Problem on the Basis of Young Model
384(1)
18.4 General Penetration Model
385(6)
18.4.1 Formulation of problem
385(1)
18.4.2 Analysis of problem
386(3)
18.4.3 Velocity-dependent resistance
389(2)
Chapter 19 High-Speed Impact. Generalized Discrete and Continuous Models
391(22)
19.1 Investigation of Problem Using Generalized Discrete Model
393(8)
19.1.1 Formulation of problem
393(4)
19.1.2 Analysis of problem
397(4)
19.2 Investigation of Problem Using Continuous Model
401(10)
19.2.1 Formulation of problem
401(3)
19.2.2 Connection between discrete and continuous problems
404(2)
19.2.3 Solution of continuous problem
406(5)
19.3 Concluding Remarks
411(2)
Chapter 20 Hypervelocity Impact
413(8)
20.1 Formulation of Problem
413(2)
20.2 Comparison of DOP of Monolithic Impactor and Segmented Impactors
415(1)
20.3 Optimum Segmentation
416(1)
20.4 Effect of Number of Segments on DOP
417(1)
20.5 Verification of Approach
418(3)
Part 9 Modeling and Optimal Control of Impactors with Jet Thruster 421(54)
Chapter 21 Application of Two-Term Model of Penetration
423(28)
21.1 Formulation of Problem
425(3)
21.2 Analytical Study of Problem
428(14)
21.2.1 General properties of extremal
428(1)
21.2.2 Formulation of problem for two-term model
428(2)
21.2.3 Optimum sub-arcs
430(2)
21.2.4 Analytical solution for particular case
432(3)
21.2.5 Some simple burning programs
435(4)
21.2.6 Results of numerical calculations
439(3)
21.3 Numerical Study of Problem
442(6)
21.3.1 Application of dynamic programming
442(4)
21.3.2 Results of numerical optimization
446(2)
21.4 Concluding Remark
448(3)
Chapter 22 Application of the Modified Young Model
451(24)
22.1 Formulation of Problem
453(5)
22.1.1 Equation for resistance force
453(2)
22.1.2 Mathematical model and formulation of problem
455(3)
22.2 Analytical Investigation of Limiting Case
458(10)
22.2.1 Penetration into non-frozen shield
458(8)
22.2.2 Penetration into frozen shield
466(2)
22.3 Numerical Investigation of the Problem Using Dynamic Programming
468(4)
22.3.1 Formulation of problem in dimensionless variables
468(1)
22.3.2 Case of general model for resistance force
469(2)
22.3.3 Case of modified Young model
471(1)
22.4 Results of Numerical Optimization
472(3)
Part 10 Effect of Order of Plates, Layering and Spacing on Protective Properties of Ductile Shields 475(102)
Chapter 23 Survey
477(20)
Chapter 24 Effect of Spacing for Non-Conical Impactors. Numerical Simulation
497(20)
24.1 Formulation of Problem
499(6)
24.2 Result of Numerical Calculations and Discussion
505(6)
24.3 Experimental Validation
511(6)
Chapter 25 Effect of Order of Plates for Non-Conical Impactors. Numerical Simulation
517(14)
25.1 Mathematical Model and Formulation of Problem
519(2)
25.2 Ogive-Shaped Generatrix
521(2)
25.3 Piecewise-Linear Approximation of Generatrix
523(4)
25.4 Result of Numerical Calculations and Discussion
527(4)
Chapter 26 Effect of Layering. Theoretical Analysis
531(12)
26.1 Mathematical Models of the Layered Shield
532(1)
26.2 Comparison of Monolithic and Layered Shields
533(1)
26.3 Worst Layering for a Given Number of Layers
534(1)
26.4 Effect of Number of Layers
535(1)
26.5 Validation of Assumptions
536(1)
26.6 Comparison with Experiments and Numerical Calculations and Discussion
537(5)
26.7 Concluding Remarks
542(1)
Chapter 27 Optimization of Multi-Layer Shields
543(34)
27.1 Formulation of Problem and Mathematical Model
544(3)
27.2 Analysis of Problem
547(32)
27.2.1 General case
547(2)
27.2.2 Two-layer shield
549(1)
27.2.3 Three-layer shield
549(28)
Part 11 Some Optimization Problems for Non-Homogenious Non-Ductile Shields 577(32)
Chapter 28 Optimization of Reinforced Concrete Panels with Steel Liner
579(10)
28.1 Ballistic Properties of Multi-Layer Concrete Shields
580(1)
28.2 Optimization of Reinforced Concrete Panels with Rear Face Steel Liner
581(8)
28.2.1 Introduction
581(1)
28.2.2 Mathematical model and formulation of problem
582(2)
28.2.3 Investigation of problem
584(5)
Chapter 29 Optimization of Two-Component Armor against Single and Repeated Impacts
589(20)
29.1 Introduction
590(3)
29.2 Mathematical Model
593(3)
29.3 Reduction of Experimental Data for Aluminum/Alumina Armor
596(3)
29.4 Optimal Armor against Single Impact
599(4)
29.4.1 Formulation of problem and results of calculations
599(2)
29.4.2 Characteristic property of optimal solutions
601(2)
29.5 Optimization of Armor Taking into Account Repeated Impacts
603(6)
Appendix A: Properties of Convex/Concave Increasing Positive Functions 609(4)
Bibliography 613(54)
Author's Index 667
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