From Waves In Complex Systems To Dynamics Of Generalized Continua : Tributes To Professor Yih-hsing Pao On His 80th Birthday.
Material type:
- text
- computer
- online resource
- 9789814340724
- 531.11
- QA927.F76 2011
Intro -- CONTENTS -- PREFACE -- CONTRIBUTORS -- LAUDATIO FOR PROFESSOR YIH-HSING PAO ON THE OCCASION OF THE INTERNATIONAL SYMPOSIUM ON ENGINEERING MECHANICS 2010, ON THE OCCASION OF HIS 80TH BIRTHDAY (21/22 May 2010) -- List of Publications - Professor Y.-H. Pao -- 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: TRAVEL TIMES, ATTENUATIONS, SPECIFIC INTENSITIES, AND SCATTERING STRENGTHS -- 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 MICROSTRUCTURE -- 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 COMPLEX MATERIALS: AN EXAMPLE FROM BIOMECHANICS -- 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 AND ELECTROMAGNETIC METAMATERIALS AND THEIR APPLICATIONS -- Preamble -- 1. Helmholtz Decomposition of Vector Fields and Implications on Acoustic, Electromagnetic and Elastodynamic Fields -- 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 -- References.
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