1. Introduction. Essential Components of a Wave. Need for Wave Propagation Analysis in Structures and Materials. Organization and Scope of the Book. 2. Local and Non Local Elasticity: Introductory Concepts. Introduction to the Theory of Elasticity.
Theory of Gradient Elasticity. 3. Introduction to the Theory of Composites and Functionally Graded Materials. Introduction to Composite Material. Theory of laminated Composites. Introduction to Functionally Graded Materials (FGM). 4. Introduction to Integral Transforms.
Fourier Transforms. Short-term Fourier Transform (STFT). Wavelet Transforms. Laplace Transforms. Comparative Merits and Demerits of Different Transforms. 5. Introduction to Wave Propagation. Concept of Wavenumber, Group Speeds, and Phase Speeds.
Wave Propagation Terminologies. Spectral Analysis of Motion. General Form of Wave Equations and their Characteristics. Different Methods of Computing Wavenumbers and Wave Amplitudes. 6. Wave Propagation in One Dimensional Isotropic Structural Waveguides. Hamilton¿s Principle. Wave Propagation in 1D Elementary Waveguides.
Wave Propagation in Higher-Order Waveguides. Wave Propagation in Rotating Beams. Wave Propagation in Tapered Waveguides. 7. Wave Propagation in Two Dimensional Isotropic Waveguides. Governing Equations of Motion. Wave Propagation in Thin Plates. 8.
Wave Propagation in Laminated Composites. Wave Propagation in a 1D Laminated Composite Waveguide. Wave Propagation in Thick 1D Laminated Composite Waveguides. Wave Propagation in Composite Cylindrical Tubes. Wave Propagation in Two Dimensional Composite Waveguides. Wave Propagation in 2D Laminated Composite Plates. 9. Wave Propagation in Sandwich Structural Waveguides.
Wave Propagation in Sandwich Beams Based on Extended Higher Order Sandwich Plate Theory (EHSAPT). Wave Propagation in 2D Sandwich Plate Waveguides. 10. Wave Propagation in Functionally Graded Material Waveguides. Wave Propagation in Lengthwise Graded Rods. Wave Propagation in a Depthwise Graded FGM beam. Wave Propagation on Lengthwise Graded Beam. Wave Propagation in 2D Functionally Graded Structures.
Thermo-Elastic Wave Propagation in Functionally Graded Waveguides. 11. Wave Propagation in Nanostructures and Nanocomposite Structures. Introduction to Nanostructures. Wave Propagation in MWCNTS using the Local Euler¿Bernoulli Model. Wave Propagation in MWCNT through a Local Shell Model. Wave Propagation in Non-Local Stress Gradient Nanorods. Axial Wave Propagation in Nonlocal Strain Gradient Nanorods.
Wave Propagation in Higher Order Nanorods using the ESGT model. Wave Propagation in Nanobeams using ESGT Formulations. Wave Propagation in MWCNT using the ESGT Model. Wave Propagation in Graphene. Wave Propagation in Graphene in an Elastic Medium. Wave Propagation in a CNT-Reinforced Nanocomposite Beam. 12. Finite Element Method for Wave Propagation Problems.
Introductory Concepts. Variational Principles. Energy Theorems. Finite Element Formulation: H-Type Formulation. Superconvergent FE Formulation. Time Domain Spectral Finite Element Formulation-A p-Type Finite Element Formulation. Solution Methods for Finite Element Method. Direct Time Integration.
Numerical Examples. Modeling Guidelines for Wave Propagation Problems. 13. Spectral Finite Element Formulation. Introduction to Spectral Finite Element. Fourier Transform-Based Spectral Finite Element Formulation. Wavelet Transform¿Based Spectral Finite Element Formulation. Laplace Transform¿Based Spectral Finite Element Formulation.
14. Wave Propagation in Smart Composite Structures. Introduction. Constitutive Models for Piezoelectric Smart Composite Structures. Constitutive Model for Magnetostrictive Materials. Constitutive Model for Electrostrictive Materials. Wave Propagation in Structures with Piezoelectric and Electrostrictive Actuators . Wave Propagation in a Composite Beam with Embedded Magnetostrictive Patches.
15. Wave Propagation in Defective Waveguides. Wave Propagation in Single Delaminated Composite Beams. Wave Propagation in Beams with Multiple Delaminations. Wave Propagation in a Composite Beam with Fiber Breaks or Vertical Cracks. Wave Propagation in Degraded Composite Structures. Wave Propagation in A 2D Plate with Vertical Cracks. Wave Propagation in Porous Beams.
16. Wave Propagation in Periodic Waveguides. General Considerations on the Repetitive Volume Elements. Theory of Bloch Waves. Spectral Finite Element Model for Periodic Structures. Dispersion Characteristics of a Periodic Waveguide with Defects. Numerical Examples. SFEM for Periodic Structures.
17. Wave Propagation in Uncertain Waveguides. Monte Carlo Simulations in the SFEM Environment. Results and Discussion. 18. Wave Propagation in Hyperelastic Waveguides. Theory of Hyperelasticity. Nonlinear Governing Equation for an Isotropic Rod.
Time Domain Finite Element Models for Hyperelastic Analysis. FSFEM for Hyperelastic Wave Propagation. Numerical Results and Discussion. Nonlinear Flexural Wave Propagation in Hyperelastic Timoshenko Beams. 19. Index.