From Waves in Complex Systems to Dynamics of Generalized Continua Tributes to Professor Yih Hsing Pao on His 80th Birthday 1st Edition by Kolumban Hutter, Tsung Tsong Wu, Yi Chung Shu ISBN 9814340715 9789814340717

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ISBN 10: 9814340715 
ISBN 13: 9789814340717
Author: Kolumban Hutter, Tsung Tsong Wu, Yi Chung Shu

From Waves in Complex Systems to Dynamics of Generalized Continua Tributes to Professor Yih Hsing Pao on His 80th Birthday 1st Table of contents:

CHAPTER 1 LAMB WAVES IN PHONONIC BAND GAP STRUCTURES
1. Introduction
2. Formulation and Numerical Methods
2.1. Plane Wave Expansion Method21,75,76
2.2. Finite-Difference Time-Domain Method
2.3. Finite Element Analysis
3. Phononic Band Gaps, Waveguides, and Cavities
3.1. Phononic Band Gaps of Lamb Waves
3.2. Phononic Waveguides
3.3. Cavity
4. Demonstrations of Band Gaps and Potential Applications
4.1. Measurements of Band Gaps in a Stubbed PC Plate77
4.2. Micro Phononic Cavity for Lamb Wave Resonator
5. Conclusions
References
CHAPTER 2 ON GENERALIZATION OF THE PHASE RELATIONS IN THE METHOD OF REVERBERATION-RAY MATRIX
1. Introduction
2. System of First-Order Differential Equations and the Solution
3. Dual Coordinate System and Coordinate Transform
4. Generalized Phase Relations
5. Wave Propagation in Anisotropic Laminates
6. Summary
Acknowledgments
References
CHAPTER 3 SURFACE-WAVE NONLINEARITY MEASURED WITH EMAT FOR FATIGUED STEELS
1. Introduction
2. Materials
3. Resonance-EMAT for Nonlinear Acoustics
3.1. Spectroscopy Measurement
3.2. Second Power Law
3.3. Background Nonlinearity by Magnetostrictive Effect
4. Rotating Bending Fatigue
4.1. Measurements
4.2. Results
5. Discussions
5.1. First Nonlinearity Peak
5.2. Second Nonlinearity Peak
6. Conclusion
References
CHAPTER 4 ACOUSTOELASTIC LAMB WAVES AND IMPLICATIONS FOR STRUCTURAL HEALTH MONITORING
1. Introduction
2. Background
3. Theory
3.1. Acoustoelastic Bulk Waves
3.2. Acoustoelastic Lamb Waves
4. Numerical Results
4.1. Stress Dependence at a Fixed Propagation Angle
4.2. Angle Dependence at a Fixed Stress
5. Experimental Results
5.1. Description of Measurements
5.2. Signal Analysis and Results
6. Simulations and Discussion
7. Conclusion and Future Work
Acknowledgments
References
CHAPTER 5 SOURCE SYNTHESIS FOR INVERSE PROBLEMS IN WAVE PROPAGATION
5.1. Introduction
5.2. Theory
5.3. Numerical Example
5.4. Conclusion
Acknowledgments
References
CHAPTER 6 AN INTRODUCTION TO AN ADAPTIVE DATA ANALYSIS METHOD
1. Introduction
2. The Hilbert-Huang Transform
3. A Significant Product of HHT: The Determination of Trend
4. Some Applications
a. The Chirp Data
b. Speech Signal Analysis
5. Conclusion
Acknowledgements
References
CHAPTER 7 COMPUTATIONAL FLUID DYNAMICS BASED ON THE UNIFIED COORDINATES — AN EXPOSE
1. CFD as Numerical Solution to Nonlinear Hyperbolic PDEs – An Overview of Major Developments
2. The Role of Coordinates in CFD
2.1. Theoretical Issues
2.2. Computational Issues
2.3. The “Optimal Coordinate System”
3. The Unified Coordinate System
4. One-Dimensional Flow
5. Multi-Dimensional Flow
6. Lagrangian Case
7. Automatic Mesh-Generation
8. Aerodynamics of Falling Leaves
9. Conclusions
References
CHAPTER 8 TOWARDS GREEN’S FUNCTION RETRIEVAL FROM IMPERFECTLY PARTITIONED AMBIENT WAVE FIELDS: TRA
1. Introduction
2. Imperfectly Diffuse Fields
3. Retrieval of Attenuation
Acknowledgments
References
CHAPTER 9 STUDY ON TWO SCALE DESIGN OPTIMIZATION OF STRUCTURES AND MATERIALS WITH PERIODIC MICROSTRU
1. Introduction
2. Two Scale Design Optimization for Global Structural Performance
2.1. Minimum Compliance Design of Structure Subject to Mechanical Loads
2.2. Minimum Compliance Design of Structure Subject to Mechanical and Thermal Loads
2.3. Maximum Fundamental Frequency Design
3. Two-Scale Optimization for Local Performance
4. Concluding Remarks
References
CHAPTER 10 A CONTINUUM FORMULATION OF LAVA FLOWS FROM FLUID EJECTION TO SOLID DEPOSITION
10.1. Introduction
10.1.1. Extended Summary
10.1.2. Description of the Physical Problem
10.1.3. Gravity Flow Specifics
10.1.4. Earlier Theoretical Approaches
10.2. Kinematics, Balance Laws, Saturation and Constituent Density Constraints
10.2.1. Kinematics of Multi-Phase Mixtures
10.2.2. Balance Equations
10.2.3. Saturation and Constituent Density Constraints
10.3. Constitutive Laws for Different Aggregation States of Lava
10.3.1. Material Equations for Hot Lava
10.3.2. Material Equations for Cold Lava
10.4. Theory for Temperate Lava
10.4.1. Preliminaries
10.4.2. Entropy Principle
10.4.3. Inferences Implied by the Liu-Identities
10.4.4. Implications of the Residual Entropy Inequality
10.4.5. Simplifying Assumptions for Lava Flows
10.4.6. Parameterization of the Constituent Equilibrium Stresses and Interaction Forces
10.4.7. Parameterization for the Non-Equilibrium Stresses and Interaction Forces
10.4.8. Parameterization of the Melting/Freezing Rate
10.5. Kinematic and Dynamic Boundary Conditions
10.5.1. General Jump Conditions
10.5.2. Kinematic and Dynamic Boundary Conditions at the Free Surface
10.5.3. Kinematic and Dynamic Boundary Conditions at the HTS
10.5.4. Kinematic and Dynamic Boundary Conditions at the Bottom
10.6. Conclusion, Outlook
10.6.1. Summary
10.6.2. Outlook
Acknowledgements
References
CHAPTER 11 RIGOROUS MECHANICS AND ELEGANT MATHEMATICS ON THE FORMULATION OF CONSTITUTIVE LAWS FOR CO
1. Introduction
2. Triphasic Mixture Theory: A Unified Model for Soft Tissue
2.1. Continuity Equation and Electroneutrality Condition
2.2. Momentum Equations
2.3. Constitutive Equations
2.4. Boundary Conditions
3. Determining the Proteoglycan Content: A Novel Mechanical Method
3.1. A Generalized Correspondence Principle of Triphasic Theory
3.2. Determination of Fixed Charge Density
4. Curling Behavior of Articular Cartilage: Anisotropic Lamination Model and Triphasic Theory
4.1. Mathematical Modeling for Cartilage Curling
4.2. Modeling Results and Discussion
5. Summary
Acknowledgments
References
CHAPTER 12 PROFESSOR PAO’S INFLUENCE ON RESEARCH IN COUPLED FIELD PROBLEMS, CHIRALITY AND ACOUSTIC
Preamble
1. Helmholtz Decomposition of Vector Fields and Implications on Acoustic, Electromagnetic and Elasto
Acoustic Waves in Viscous and Inviscid Fluids
Elastic Waves in Solids
Electromagnetic Waves
2. Chirality and Its Effect on the Propagation of Electromagnetic and Elastic Waves
Electromagnetic Waves in Chiral Materials
Elastic Waves in Non-Centro Symmetric Solids
3. Coupled Elastic-Electric Field Problems
4. Electromagnetic and Acoustic Metamaterials
Postscript
Acknowledgements
References
CHAPTER 13 TRANSIENT RESPONSE OF AN ELASTIC HALF SPACE BY A MOVING CONCENTRATED TORQUE
1. Introduction
2. Governing Equations
3. Formal Solution
4. Inversion of Ī
5. Displacements
6. Stationary Concentrated Torque
7. Conclusion
Acknowledgments
References
CHAPTER 14 MAGNETIC FORCE MODELS FOR MAGNETIZABLE ELASTIC BODIES IN THE MAGNETIC FIELD
1. Introduction
2. Analysis of Magnetic Forces in Existing Models
2.1. Typical Physics Models
2.2. Brown’s Model and Eringen-Maugin’s Model
2.3. Moon-Pao’s Model
2.4. Zhou-Zheng’s Model
2.4. Discussions
3. Applications to Special Cases
4. Conclusions
Acknowledgments
References
CHAPTER 15 PRINCIPLES OF NONLINEAR VIBRO-WIND ENERGY CONVERSION
Dedication
1. Introduction
2. Cornell University Collective Research in Vibro-Wind Energy
3. Physics of Vibro-Wind Power Generation
4. Literature Review
Energy in an Array of Structural Oscillators
Fluid Mechanics Research in Vibro-Wind Systems
Multiple Oscillator Model [Thothadri and Moon, 1998, 1999]5. Preliminary Experimental Results
Energy Converters for Vibro-Wind Systems
Multi-Blunt Body Aerodynamic Induced Wave Motion
6. Architectural Issues in Vibro-Wind Energy Harvesting
7. Summary

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Tags: Kolumban Hutter, Tsung Tsong Wu, Yi Chung Shu, Waves, Dynamics, Generalized