Wave propagation in materials and structures. ([2017])
- Record Type:
- Book
- Title:
- Wave propagation in materials and structures. ([2017])
- Main Title:
- Wave propagation in materials and structures
- Further Information:
- Note: Srinivasan Gopalakrishnan.
- Authors:
- Gopalakrishnan, S (Srinivasan)
- Contents:
- Cover; Half Title; Title Page; Copyright Page; Dedication; Contents; Preface; Chapter 1: Introduction; 1.1. Essential Components of a Wave; 1.1.1. Standing Waves; 1.2. Need for Wave Propagation Analysis in Structures and Materials; 1.3. Organization and Scope of the Book; Chapter 2: Local and Non-Local Elasticity: Introductory Concepts; 2.1. Introduction to the Theory of Elasticity; 2.1.1. Description of Motion; 2.1.2. Strain; 2.1.3. Strain-Displacement Relations; 2.1.4. Stress; 2.1.5. Principal Stresses; 2.1.6. Constitutive Relations; 2.1.7. Elastic Symmetry 2.1.8. Governing Equations of Motion2.1.9. Dimensional Reduction of 3D Elasticity Problems; 2.1.10. Plane Problems in Elasticity: Reduction to Two Dimensions; 2.1.11. Solution Procedures in Linear Theory of Elasticity; 2.2. Theory of Gradient Elasticity; 2.2.1. Eringen's Stress Gradient Theory; 2.2.2. Strain Gradient Theory; Chapter 3: Introduction to the Theory of Composites and Functionally Graded Materials; 3.1. Introduction to Composite Materials; 3.2. Theory of Laminated Composites; 3.2.1. Micro-Mechanical Analysis of Composites; 3.2.2. Macro-Mechanical Analysis of Composites 3.2.3. Classical Lamination Plate Theory3.3. Introduction to Functionally Graded Materials (FGM); 3.3.1. Modeling of FGM Structures; Chapter 4: Introduction to Integral Transforms; 4.1. Fourier Transforms; 4.1.1. Fourier Series; 4.1.2. Discrete Fourier Transform; 4.2. Short-Term Fourier Transform (STFT); 4.3. Wavelet Transforms; 4.3.1.Cover; Half Title; Title Page; Copyright Page; Dedication; Contents; Preface; Chapter 1: Introduction; 1.1. Essential Components of a Wave; 1.1.1. Standing Waves; 1.2. Need for Wave Propagation Analysis in Structures and Materials; 1.3. Organization and Scope of the Book; Chapter 2: Local and Non-Local Elasticity: Introductory Concepts; 2.1. Introduction to the Theory of Elasticity; 2.1.1. Description of Motion; 2.1.2. Strain; 2.1.3. Strain-Displacement Relations; 2.1.4. Stress; 2.1.5. Principal Stresses; 2.1.6. Constitutive Relations; 2.1.7. Elastic Symmetry 2.1.8. Governing Equations of Motion2.1.9. Dimensional Reduction of 3D Elasticity Problems; 2.1.10. Plane Problems in Elasticity: Reduction to Two Dimensions; 2.1.11. Solution Procedures in Linear Theory of Elasticity; 2.2. Theory of Gradient Elasticity; 2.2.1. Eringen's Stress Gradient Theory; 2.2.2. Strain Gradient Theory; Chapter 3: Introduction to the Theory of Composites and Functionally Graded Materials; 3.1. Introduction to Composite Materials; 3.2. Theory of Laminated Composites; 3.2.1. Micro-Mechanical Analysis of Composites; 3.2.2. Macro-Mechanical Analysis of Composites 3.2.3. Classical Lamination Plate Theory3.3. Introduction to Functionally Graded Materials (FGM); 3.3.1. Modeling of FGM Structures; Chapter 4: Introduction to Integral Transforms; 4.1. Fourier Transforms; 4.1.1. Fourier Series; 4.1.2. Discrete Fourier Transform; 4.2. Short-Term Fourier Transform (STFT); 4.3. Wavelet Transforms; 4.3.1. Daubechies Compactly Supported Wavelets; 4.3.2. Discrete Wavelet Transform (DWT); 4.4. Laplace Transforms; 4.4.1. Need for Numerical Laplace Transform; 4.4.2. Numerical Laplace Transform; 4.5. Comparative Merits and Demerits of Different Transforms Chapter 5: Introduction to Wave Propagation5.1. Concept of Wavenumber, Group Speeds, and Phase Speeds; 5.2. Wave Propagation Terminologies; 5.3. Spectral Analysis of Motion; 5.3.1. Second-Order System; 5.3.2. Fourth-Order System; 5.4. General Form of Wave Equations and their Characteristics; 5.4.1. General Form of Wave Equations; 5.5. Different Methods of Computing Wavenumbers and Wave Amplitudes; 5.5.1. Method 1: The Companion Matrix and the SVD Technique; 5.5.2. Method 2: Linearization of PEP; Chapter 6: Wave Propagation in One-Dimensional Isotropic Structural Waveguides 6.1. Hamilton's Principle6.2. Wave Propagation in 1D Elementary Waveguides; 6.2.1. Longitudinal Wave Propagation in Rods; 6.2.2. Flexural Wave Propagation in Beams; 6.2.3. Wave Propagation in a Framed Structure; 6.3. Wave Propagation in Higher-Order Waveguides; 6.3.1. Wave Propagation in a Timoshenko Beam; 6.3.2. Wave Propagation in a Mindlin-Herrmann Rod; 6.4. Wave Propagation in Rotating Beams; 6.5. Wave Propagation in Tapered Waveguides; 6.5.1. Wave Propagation in a Tapered Rod with Exponential Depth Variation; 6.5.2. Wave Propagation in a Tapered Rod with Polynomial Depth Variation … (more)
- Publisher Details:
- Boca Raton : CRC Press
- Publication Date:
- 2017
- Extent:
- 1 online resource
- Subjects:
- 531/.1133
TECHNOLOGY & ENGINEERING / Mechanical
Wave-motion, Theory of
Solids -- Mathematics
Lightweight materials
SCIENCE / Mechanics / General
SCIENCE / Mechanics / Solids
Lightweight materials
Solids -- Mathematics
Wave-motion, Theory of
TECHNOLOGY & ENGINEERING / Material Science
Electronic books - Languages:
- English
- ISBNs:
- 9781482262803
1482262800 - Related ISBNs:
- 9781482262797
1482262797 - Notes:
- Note: Includes bibliographical references and index.
Note: Description based on online resource; title from PDF title page (EBSCO, viewed November 9, 2016). - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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- Physical Locations:
- British Library HMNTS - ELD.DS.118722
- Ingest File:
- 01_110.xml