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E-raamat: Extreme Waves and Shock-Excited Processes in Structures and Space Objects: Volume II

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Extreme Waves and Shock-Excited Processes in Structures and Space Objects: Volume IISuurem pilt
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The theory of waves is generalized on cases when waves change medium in which appear and propagate. A reaction of structural elements and space objects to the dynamic actions of the different nature, durations and intensities is studied. It considers the effects of transitions in the state and phase equations of media on the formation and propagation of extreme waves as a result of power, thermal, or laser pulsed action. The influence of cavitation and cool boiling of liquids, geometric and physical nonlinearity of walls on containers strength and the formation of extreme waves is studied. The theory can be also used to optimize impulse technology. In particular, in the optimization of explosive processing of sheet metal by explosion in a liquid.


The book was written for researchers and engineers, as well as for Master’s and Ph.D. students in the fields of thermal fluids, aerospace, nuclear engineering and nonlinear waves.

Preface xiii
Acknowledgments xv
Author xvii
PART I Basic Models, Equations, and Ideas
Chapter 1 Models of Continuum
3(1)
1.1 The System of Equations of Mechanics Continuou's Medium
3(5)
1.2 State (Constitutive) Equations for Elastic and Elastic-Plastic Bodies
8(4)
1.3 The Equations of Motion and the Wide-Range Equations of State of an Inviscid Fluid
12(5)
1.4 Simplest Example of Fracture of Media within Rarefaction Zones
17(7)
1.4.1 The Stat e Equation for Bubbly Liquid
17(2)
1.4.2 Fracture (Cold Boiling) of Water During Seaquakes
19(2)
1.4.3 Model of Fracture (Cold Boiling) of Bubbly Liquid
21(3)
1.5 Models of Moment and Momentless Shells
24(9)
1.5.1 Shallow Shells and the Kirchhoff-Love Hypotheses
24(4)
1.5.2 The Timoshenko Theory of Thin Shells and Momentless Shells
28(5)
Chapter 2 The Dynamic Destruction of Some Materials in Tension Waves
33(1)
2.1 Models of Dynamic Failure of Solid Materials
34(1)
2.1.1 Phenomenological Approach
34(2)
2.1.2 Microstructural Approach
36(3)
2.2 Models of Interacting Voids (Bubbles, Pores)
39(4)
2.3 Pore on Porous Materials
43(3)
2.4 Mathematical Model of Materials Containing Pores
46(5)
Chapter 3 Models of Dynamic Failure of Weakly Cohesived Media (WCM)
51(1)
3.1 Introduction
51(2)
3.1.1 Examples of Gassy Material Properties
53(1)
3.1.2 Behavior of Weakly Cohesive Geomaterials within Extreme Waves
54(3)
3.2 Modeling of Gassy Media
57(9)
3.2.1 State Equation for Condensed Matter-Gas Mixture
58(2)
3.2.2 Strongly Nonlinear Model of the State Equation for Gassy Media
60(2)
3.2.3 The Tait-Like Form of the State Equation
62(3)
3.2.4 Wave Equations for Gassy Materials
65(1)
3.3 Effects of Bubble Oscillations on the One-Dimensional Governing Equations
66(3)
3.3.1 Differential Form of the State Equation
66(1)
3.3.2 The Strongly Nonlinear Wave Equation for Bubbly Media
67(2)
3.4 Linear Acoustics of Bubbly Media
69(6)
3.4.1 Three-Speed Wave Equations
70(1)
3.4.2 Two-Speed Wave Equations
71(1)
3.4.3 One-Speed Wave Equations
72(1)
3.4.4 Influence of Viscous Properties on the Sound Speed of Magma-like Media
73(2)
3.5 Examples of Observable Extreme Waves of WCM
75(4)
3.5.1 Mount St Helens Eruption
75(2)
3.5.2 The Volcano Santiaguito Eruptions
77(2)
3.6 Nonlinear Acoustic of Bubble Media
79(3)
3.6.1 Low-Frequency Waves: Boussinesq and Long-Wave Equations
80(1)
3.6.2 High-Frequency Waves: Klein-Gordon and Schrodinger Equations
81(1)
3.7 Strongly Nonlinear Airy-Type Equations and Remarks to
Chapters 1-3
82(9)
References
84(7)
PART II Extreme Waves and Structural Elements
Chapter 4 Extreme Effects and Waves in Impact-Loaded Hydrodeformable Systems
91(1)
4.1 Introduction
91(2)
4.2 Underwater Explosions and Extreme Waves of the Cavitation: Experiments
93(3)
4.3 Experimental Studies of Formation and Propagation of the Cavitation Waves
96(1)
4.3.1 Elastic Plate-Underwater Wave Interaction
97(1)
4.3.2 Elastoplastic Plate-Underwater Wave Interaction
98(3)
4.4 Extreme Underwater Wave and Plate Interaction
101(1)
4.4.1 Effects of Deformability
101(2)
4.4.2 Effects of Cavitation on the Plate Surface
103(3)
4.4.3 Effects of Cavitation in the Liquid Volume on the Plate-Liquid Interaction
106(8)
4.4.4 Effects of Plasticity
114(7)
4.5 Modeling of Extreme Wave Cavitation and Cool Boiling in Tanks
121(6)
4.5.1 Impact Loading of a Tank
122(2)
4.5.2 Impact Loading of Liquid in a Tank
124(3)
Chapter 5 Shells and Cavitation (Cool Boiling) Waves
127(1)
5.1 Interaction of a Cylindrical Shell with Underwater Shock Wave in Liquid
127(2)
5.2 Extreme Waves in Cylindrical Elastic Container
129(1)
5.2.1 Effects of Cavitation and Cool Boiling on the Interaction of Shells
130(3)
5.2.2 Features of Bubble Dynamics and Their Effect on Shells
133(2)
5.3 Extreme Wave Phenomena in the Hydro-Gas-Elastic System
135(4)
5.4 Effects of Boiling of Liquids Within Rarefaction Waves on the Transient Deformation of Hydroelastic Systems
139(4)
5.5 A Method of Solving Transient Three-Dimensional Problems of Hydroelasticity for Cavitating and Boiling Liquids
143(12)
5.5.1 Governing Equations
143(2)
5.5.2 Numerical Method
145(2)
5.5.3 Results and Discussion
147(8)
Chapter 6 Interaction of Extreme Underwater Waves with Structures
155(1)
6.1 Fracture and Cavitation Waves in Thin-Plate/Underwater Explosion System
155(4)
6.2 Fracture and Cavitation Waves in Plate/Underwater Explosion System
159(4)
6.3 Generation of Cavitation Waves after Tank Bottom Buckling
163(3)
6.4 Transient Interaction of a Stiffened Spherical Dome with Underwater Shock Waves
166(8)
6.4.1 The Problem and Method of Solution
166(3)
6.4.2 Numeric Method of Problem Solution
169(1)
6.4.3 Results of Calculations
170(4)
6.5 Extreme Amplification of Waves at Vicinity of the Stiffening Rib
174(9)
References
177(6)
PART III Counterintuitive Behavior of Structural Elements after Impact Loads
Chapter 7 Experimental Data
183(1)
7.1 Introduction and Method of Impact Loading
183(4)
7.2 CIB of Circular Plates: Results and Discussion
187(6)
7.3 CIB of Rectangular Plates and Shallow Caps
193(1)
7.3.1 Discussion of CIB of Shallow Caps
194(6)
7.3.2 Cap/Permeable Membrane System
200(3)
7.3.3 CIB of Panels
203(4)
Chapter 8 CIB of Plates and Shallow Shells: Theory and Calculations
207(1)
8.1 Distinctive Features of CIB of Plates and Shallow Shells
207(10)
8.1.1 Investigation Techniques
207(3)
8.1.2 Results and Discussion: Plates, Spherical Caps, and Cylindrical Panels
210(7)
8.2 Influences of Atmosphere and Cavitation on CIB
217(18)
8.2.1 Theoretical Models
219(5)
8.2.2 Calculation Details
224(1)
8.2.3 Results and Discussion
225(5)
References
230(5)
PART IV Extreme Waves Excited by Impact of Heat, Radiation, or Mass
Chapter 9 Forming and Amplifying of Heat Waves
235(1)
9.1 Linear Analysis - Influence of Hyperbolicity
235(3)
9.2 Forming and Amplifying Nonlinear Heat Waves
238(4)
9.3 Strong Nonlinearity of Thermodynamic Function as a Cause of Formation of Cooling Shock Wave
242(7)
Conclusions
248(1)
Chapter 10 Extreme Waves Excited by Radiation Impact
249(1)
10.1 Impulsive Deformation and Destruction of Bodies at Temperatures below the Melting Point
250(1)
10.1.1 Thermoelastic Waves Excited by Long-Wave Radiation
250(1)
10.1.2 Thermoelastic Waves Excited by Short-Wave Radiation
250(3)
10.1.3 Stress and Fracture Waves in Metals During Rapid Bulk Heating
253(3)
10.1.4 Optimization of the Outer Laser-Induced Spalling
256(4)
10.2 Effects of Melting of Material under Impulse Loading
260(7)
10.2.1 Mathematical Model of Fracture under Thermal Force Loading
260(3)
10.2.2 Algorithm and Results
263(4)
10.3 Modeling of Fracture, Melting, Vaporization, and Phase Transition
267(12)
10.3.1 Calculations: Effects of Temperature
270(3)
10.3.2 Calculations: Effects of Vaporization
273(4)
10.3.3 Calculations: Effect of Vaporization on Spalling
277(2)
10.4 Two-Dimensional Fracture and Evaporation
279(3)
10.5 Fracture of Solid by Radiation Pulses as a Method of Ensuring Safety in Space
282(15)
10.5.1 Introduction
282(3)
10.5.2 Mathematical Formulation of the Problem
285(2)
10.5.3 Calculation Results and Comparison with Experiments
287(3)
10.5.4 Special Features of Fracture by Spalling
290(3)
10.5.5 Efficiency of Laser Fracture
293(2)
10.5.6 Discussion and Conclusion
295(1)
Conclusion
296(1)
Reference
296(1)
Chapter 11 Melting Waves in Front of a Massive Perforator
297(1)
11.1 Experimental Investigation
297(3)
11.2 Numerical Modeling
300(1)
11.3 Results of the Calculation and Discussion
301(6)
References
302(5)
Index 307
Shamil U. Galiev obtained his Ph.D. degree in Mathematics and Physics from Leningrad University in 1971, and, later, a full doctorate (ScD) in Engineering Mechanics from the Academy of Science of Ukraine (1978). He worked in the Academy of Science of former Soviet Union as a researcher, senior researcher, and department chair from 1965 to 1995. From 1984 to 1989, he served as a Professor of Theoretical Mechanics in the Kiev Technical University, Ukraine. Since 1996, he has served as Professor, Honorary Academic of the University of Auckland, New Zealand. Dr. Galiev has published approximately 90 scientific publications, and he is the author of seven books devoted to different complex wave phenomena. From 1965-2014 he has studied different engineering problems connected with dynamics and strength of submarines, rocket systems, and target/projectile (laser beam) systems. Some of these results were published in books and papers. During 1998-2017, he conducted extensive research and publication in the area of strongly nonlinear effects connected with catastrophic earthquakes, giant ocean waves and waves in nonlinear scalar fields. Overall, Dr. Galievs research has covered many areas of engineering, mechanics, physics, and mathematics.
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