Stress Waves in Non-Elastic Solids (eBook)

W. K. Nowacki (Autor)

eBook Download: PDF

2018 | 1. Auflage
258 Seiten
Elsevier Science (Verlag)
978-1-4831-5393-3 (ISBN)

Infos

Stress Waves in Non-Elastic Solids is a comprehensive presentation of the principles underlying the propagation of stress waves in non-elastic solids, with emphasis on wave problems in the theory of plasticity. This book exposes wave propagation problems for a range of material responses and justifies the hypotheses introduced in specialized theories and the simplifications made in the analysis of particular problems. Both analytical and numerical methods of solving problems are described, and a large number of solutions to specific problems of wave propagation in inelastic solids are given. This book is comprised of six chapters and begins with an overview of the fundamental equations of the dynamics of inelastic media. The dynamical properties of metals and soils are discussed, offering an account of the most representative theories of plasticity and viscoplasticity. The next chapter considers the basic definitions of discontinuity surfaces and the conditions that must to be satisfied across these surfaces. Certain mathematical fundamentals are given, referring to systems of differential equations, quasi-linear and semi-linear, of the first order. Initial and boundary value problems for hyperbolic equations are also formulated. The remaining chapters focus on methods of solving stress wave propagation problems, including one-dimensional plane waves and longitudinal-transverse waves. Wave propagation problems for elastic-plastic and elastic/viscoplastic media are treated in detail, along with the most important problem of shock waves in metals and soils. The last chapter deals with thermal wave propagation problems. This monograph will be a valuable resource for students and practitioners of engineering, physics, and mathematics.

Inhalt

Front Cover 1
Stress Waves in Non-Elastic Solids 4
Copyright Page 5
Table of Contents 6
Preface 10
Introduction 12
Chapter I. Fundamental Equations of the Dynamics of Inelastic Media 14
1. Dynamical properties of materials 14
2. Basic theories of plasticity 17
3. Strain rate sensitive plastic media 24
4. Soil dynamics equations 34
5. Equations of motion and continuity 39
Chapter II. Waves, Continuity Conditions, Mathematical Fundamentals 43
6. Discontinuity fronts, definitions 43
7. Dynamic continuity conditions across discontinuity fronts 45
8. Conditions of kinematic continuity across discontinuity fronts 47
9. Mathematical methods applied in problems of plastic wave propagation 49
Chapter III. One-dimensional Plane Waves 56
10. Propagation of a plane, longitudinal wave of loading in a semi-infinite, homogeneous, elastic—plastic bar 56
11. Plane wave of unloading in a homogeneous elastic—plastic medium 62
12. Reflection of an unloading plane wave from an obstacle in an elastic–plastic medium 75
13. Propagation of plane shock waves 80
14. Propagation of plane stress waves in an elastic–plastic medium with rigid unloading 86
15. Propagation of plane, longitudinal waves in an elastic/viscoplastic medium 108
Chapter IV. Spherical and Cylindrical Waves 126
16. Formulation of problems 126
17. Spherical waves in an elastic–plastic medium with elastic unloading 128
18. Spherical shock waves in a homogeneous elastic—plastic medium 136
19. Propagation of a spherical unloading wave in an elastic–plastic medium with rigid unloading behaviour 139
20. Spherical waves and radial cylindrical waves in a homogeneous elastic/viscoplastic medium 145
21. Cylindrical shear waves 152
Chapter V. Plastic Longitudinal—Transverse Waves 154
22. Simple waves in an elastic–plastic half-space 154
23. Plane longitudinal–transverse waves in an isotropic, elastic/viscoplastic space 167
24. Longitudinal—transverse waves in a non-homogeneous elastic/viscoplastic medium 179
25. Stress waves in beams 184
26. Stress waves in plates 191
27. Propagation of plane, two-dimensional stress waves 195
Chapter VI. Thermal Stress Waves 226
28. Solution of the differential equations of the theory of thermal stresses 226
29. Thermal shock on the boundary of an elastic/viscoplastic half-space 229
30. Thermal shock on the boundary of a spherical cavity in an elastic/viscoplastic space 241
Bibliography 250
Name Index 256
Subject Index 258

Produkt-Details

• Erscheint lt. Verlag: 6.3.2018
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik ► Maschinenbau
• ISBN-10: 1-4831-5393-2 / 1483153932
• ISBN-13: 978-1-4831-5393-3 / 9781483153933