Foundations of Stress Waves

Author: Wang   Lili  

Publisher: Elsevier Science‎

Publication year: 2011

E-ISBN: 9780080470979

P-ISBN(Paperback): 9780080444949

P-ISBN(Hardback):  9780080444949

Subject: O347.4 stress wave

Language: ENG

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Description

The primary objective of this work is to give the reader an understanding of stress wave behaviour while taking into account the dynamic constitutive equations of elastic-plastic solids. The author has combined a 'materials characteristics' approach with a 'singularity surface' approach in this work, which readers will find to be a novel and unique route to solving their problems.

* Helps engineers understand the effects and behavior of stress waves in various materials
* Aids in the process of engineering design, testing, and evaluation

Chapter

2.3 Characteristic Lines and the Compatibility Relationships along the Characteristic Lines

2.4 Elastic–Plastic Longitudinal LoadingWaves in Semi-Infinite Bars

2.5 Governing Equations of LongitudinalWaves in Bars in Spatial Coordinates

2.6 Strong Discontinuity andWeak Discontinuity; ShockWaves and ContinuousWaves

2.7 Conservation Conditions acrossWave Front, Rankine–Hugoniot Relations

2.8 Dispersion Effects Induced by the Transverse Inertia

2.9 Torsion Waves in Cylindrical Bars

Chapter 3. Interaction of Elastic Longitudinal Waves

3.1 Coaxial Collision of Two Elastic Bars

3.2 Interaction of Two Elastic Longitudinal Waves

3.3 Reflection of Elastic LongitudinalWaves at Fixed End and Free End

3.4 Coaxial Collision of Two Elastic Bars with Finite Length

3.5 Reflection and Transmission of Elastic LongitudinalWaves at the Interface of Two Different Bars

3.6 Reflection and Transmission of ElasticWaves in Bars with Varying Cross Sections

3.7 Hopkinson Pressure Bar and Flying Piece

3.8 Split Hopkinson Pressure Bar

3.9 Dynamic Fracture Induced by Reflective UnloadingWaves

Chapter 4. Interaction of Elastic–Plastic Longitudinal Waves in Bars

4.1 Interaction of Two Longitudinal Elastic–Plastic LoadingWaves in Bars

4.2 Reflection of Longitudinal Elastic–Plastic LoadingWaves at a Fixed End

4.3 Governing Equations and Characteristic Lines of UnloadingWaves

4.4 Pursuing Unloading by Strong-Discontinuous Unloading Disturbances

4.5 Pursuing Unloading by Weak-Discontinuous Unloading Disturbances

4.6 Shock Wave Attenuation Due to Pursuing Unloading

4.7 Propagating Properties of Elastic–Plastic Boundaries in Semi-Infinite Bars

4.8 Head-On Unloading

4.9 High-Speed Impact of a Finite Bar onto a Rigid Target

4.10 General Properties of the Loading–Unloading Boundary Propagation

Chapter 5. Rigid Unloading Approximation

5.1 Rigid Unloading in a Semi-Infinite Bar

5.2 Rigid Unloading in Finite Bars

5.3 Rigid Unloading Analyses for Shock Wave Propagation

Chapter 6. One-Dimensional Visco-Elastic Waves and Elastic-Visco-Plastic Waves

6.1 Linear Visco-Elastic Constitutive Relationship

6.2 StressWaves Propagating in Linear Visco-Elastic Bars

6.3 Nonlinear Visco-Elastic Constitutive Relationship

6.4 StressWaves Propagating in Nonlinear Visco-Elastic Bars

6.5 Elastic-Visco-Plastic Constitutive Relationship

6.6 StressWaves Propagating in Elastic-Visco-Plastic Bars

Chapter 7. One-Dimensional Strain Plane Waves

7.1 Governing Equations

7.2 One-Dimensional Strain Elastic Waves

7.3 Elastic–Plastic Constitutive Relationship in 1D Strain Condition

7.4 One Dimensional Strain Elastic–Plastic Waves

7.5 Influence of Reverse Yield on the Propagation of 1D Strain Elastic–PlasticWave

7.6 State Equation of Solids under High Pressures

7.7 Shock Waves in Solids under High Pressures

7.8 Interaction of Shock Waves in Solids under High Pressure

7.9 Plane Waves in Hydro-Elasto-Plastic Media

7.10 Attenuation of Shock Waves in Hydro-Elasto-Plastic Media

7.11 One-Dimensional Strain Elasto-Visco-Plastic Waves

Chapter 8. Spherical Waves and Cylindrical Waves

8.1 Continuity Equation and Motion Equation

8.2 Elastic Spherical Waves and Cylindrical Waves

8.3 Elasto-Plastic Spherical Waves

8.4 Approximate Analysis for the Fragmentation of Spherical Shells

8.5 Elasto-Visco-Plastic Spherical Waves and Cylindrical Waves

Chapter 9. Elastic–Plastic Waves Propagating in Flexible Strings

9.1 Governing Equations

9.2 Semi-Infinite Straight String under Abrupt Constant-Velocity Oblique Impact

9.3 Infinite Straight String under Abrupt Constant-Velocity Oblique Point-Impact

9.4 Prestretched Strings Subjected to Transverse Impact

Chapter 10. Elastic–Plastic Waves Propagating in Beams under Transverse Impact (Bending Wave Theory)

10.1 Basic Assumptions and Governing Equations

10.2 Elastic Bending Waves

10.3 Plastic Bending Waves (Elastic–Plastic Beams)

10.4 Rigid-Plastic Analysis

10.5 Shear Failure of Beams under Transverse Impact

Chapter 11. General Theory for Linear Elastic Waves

11.1 Linear ElasticWaves in Infinite Media

11.2 Oblique-Incidence, Reflection, and Transmission of Elastic PlaneWaves

11.3 Elastic SurfaceWaves

Chapter 12. Numerical Methods for StressWave Propagation

12.1 Characteristics Numerical Method

12.2 Finite Difference Method

12.3 Finite Element Method (FEM)

Appendices

References

Index

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