| Description |
1 online resource (585 p.) |
| Contents |
Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- About the Author -- Chapter 1: Computational Nondestructive Evaluation (CNDE) -- 1.1. Introduction -- 1.1.1. Various NDE Methods -- 1.1.2. Computational Ultrasonic NDE -- 1.2. Physics and Apparatus for Ultrasonic Technique -- 1.2.1. Ultrasonic NDE -- 1.2.2. Ultrasonic in situ NDE or SHM Method -- 1.2.3. Ultrasonic NDE/SHM of Metals vs Composites -- 1.3. Historical Background of CNDE -- 1.4. Overview of the Chapters -- 1.5. Summary -- Chapter 2: Vector Fields and Tensor Analysis |
|
2.1. Understanding Vectors -- 2.2. A Brief Review of Index Notation -- 2.2.1. Dot Product of Two Vectors -- 2.2.2. Cross Product of Two Vectors -- 2.3. Understanding the Vector Field -- 2.3.1. Gradient Operator -- 2.3.2. Divergence of a Vector Field -- 2.3.3. Curl of a Vector Field -- 2.4. Concept of Tensor and Tensor Analysis in Brief -- 2.4.1. First-Order and Second-Order Tensors -- 2.4.2. Transformation Laws of Tensors -- 2.5. Covariant, Contravariant Tensors, and Jacobian Matrix -- 2.5.1. Transformation of Scalar and Vector Objects and Covariant Vectors |
|
2.5.2. Transformation of Basis, Contravariant Vectors, and Jacobian -- 2.6. Examples on Index Notations -- 2.7. Summary -- 2.8. Appendix -- 2.8.1. Divergence Theorem -- 2.8.2. Stokes Theorem -- Chapter 3: Mechanics of Continua -- 3.1. Coordinate System -- 3.1.1. Lagrangian Coordinate or Material Coordinate System -- 3.1.2. Eulerian Coordinate or Spatial Coordinate System -- 3.2. Motion of a Deformable Body -- 3.2.1. Material Derivatives -- 3.2.1.1. Material Derivative of Displacement Gradient -- 3.2.1.2. Material Derivative of Jacobian -- 3.2.1.3. Material Derivative of Square of an Arc Length |
|
3.4.4. Kinetic Energy Stored in a Deformable Body -- 3.5. Fundamental Axiom of Continuum Mechanics -- 3.5.1. Axiom 1: Principle of Conservation of Mass -- 3.5.2. Axiom 2: Principle of Balance of Momentum -- 3.5.3. Axiom 3: Principle of Balance of Angular Momentum -- 3.5.4. Axiom 4: Principle of Conservation of Energy -- 3.6. Internal Stress State in a Deformable Body -- 3.7. External and Internal Load on a Deformable Body -- 3.8. Fundamental Elastodynamic Equation -- 3.9. Thermodynamics of Continua -- 3.9.1. Conservation of Local Energy |
| Notes |
Description based upon print version of record |
|
3.9.2. Conservation of Mechanical Energy (Kinetic, Internal, and Potential Energy) |
| Form |
Electronic book
|
| Author |
Leckey, Cara A. C
|
| ISBN |
9780429853135 |
|
0429853130 |
|
