Tabatabaian, Mehrzad

Crafting Effective Interactions  and Building GPT Apps

Prompt Engineering Using ChatGPT

Richardson, Theodor

Thies, Charles

Computer Concepts and Applications

Microsoft Office 2010 and Beyond, Video

Structural Steel Design

Pryor, Roger W.

Dimensional Analysis for Unit Conversions Using MATLAB

Adithan, M.

A Self-Teaching Introduction

Machine Methods

Aghayere, Abieyuwa

Vigil, Jason

Reinforced Concrete Design

Westcott, Jean

Industrial Automation and Robotics

Molicki, Stefanie

Biomechanics of Human Communication

Saha, A.

Problems and Solutions

Engineering Mathematics Exam Prep

Westcott, Sean

Westcott, Jean Riescher

Theory and Practice

Basic Electronics

Transformations - Mathematics - Applications

Tensor Analysis for Engineers

Frontmatter

Contents

Preface

About the Author

Chapter 1: Introduction

Chapter 2: Coordinate Systems Definition

Chapter 3: Basis Vectors and Scale Factors

Chapter 4: Contravariant Components and Transformations

Chapter 5: Covariant Components and Transformations

Chapter 6: Physical Components and Transformations

Chapter 7: Tensors—Mixed and Metric

Chapter 8: Metric Tensor Operation on Tensor Indices

Chapter 9: Dot and Cross Products of Tensors

Chapter 10: Gradient Vector Operator—Christoffel Symbols

Chapter 11: Derivative Forms—Curl, Divergence, Laplacian

Chapter 12: Cartesian Tensor Transformation—Rotations

Chapter 13: Coordinate Independent Governing Equations

Chapter 14: Collection of Relations for Selected Coordinate Systems

Chapter 15: Rigid Body Rotation: Euler Angles, Quaternions, and Rotation Matrix

Chapter 16: Mechanical Stress Transformation: Analytical and Mohr’s Circle Methods

Chapter 17: The Worked Examples

Chapter 18: Exercises

References

Index

Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists with the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. It includes expanded content on the application of mechanical stress transformation. The geometry is limited to the Euclidean space/geometry, where the Pythagorean Theorem applies, with well-defined Cartesian coordinate systems as the reference. Quantities defined in curvilinear coordinate systems, like cylindrical, spherical, parabolic, etc.

Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists with the tools and techniques of tensor...

Format

Tensor Analysis for Engineers

Transformations - Mathematics - Applications

Mehrzad Tabatabaian

People Also Read