Maxwell Stresses and Dielectric Materials.
Title:
Maxwell Stresses and Dielectric Materials.
Author:
Kloos, Gerhard.
ISBN:
9780878494798
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (114 pages)
Series:
Materials Science Foundations (monograph series) ; v.39
Materials Science Foundations (monograph series)
Contents:
Maxwell Stresses and Dielectric Materials -- Preface -- Table of Contents -- Table of Contents -- 1. Introduction -- 2. Taylor Expansion and Interaction Diagram, Electrostatic Maxwell Stresses and Quadratic Electrostriction -- 2.1. Linear Effects -- 2.2. Quadratic Effects -- 2.3. Related Phenomenon: Quadratic Electrostriction -- 3. Derivation of the Stress Tensor from the Force Law -- 3.1. Force Law -- 3.2. the Concept of Tensor Divergence -- 3.3. Deriving the Electrostatic Maxwell Stress Tensor -- 4. Maxwell Stress Tensor -- 4.1. Incorporating the Dielectric Tensor -- 4.2. Transforming the Maxwell Stress Tensor -- 4.3. Transforming the Dielectric Tensor -- 5. Maxwell Stress Tensors at the Boundary of a Dielectric Medium with another Dielectric Medium or with Air -- 5.1. Traction Vector at the Boundary with Air -- 5.2. Influence of the Orientation of Dielectric Media on the Observed Strain -- 6. Viscoelastic Case: Application to Polymers -- 6.1. Derivation of the Dynamic Equation of State -- 6.2. Discussion of the Dynamic Equation of State -- 7. Applications -- 7.1. Electromechanical Breakdown -- 7.2. Scanning Maxwell-Stress Microscopes -- 7.3. Correction of Measurements of Quadratic Electrostriction -- 7.4. Correction of Low-Frequency Measurements of the Quadratic Electro-Optic Effect -- 7.5. Maxwell Stress Actuators -- 7.6. Liquids -- 8. An Analogous Phenomenon: Magnetostatic Maxwell Stresses -- 8.1. Stating the Problem. 8.2. Mathematical Analysis. -- 8.3 Comparison of Electromechanical and Magnetomechanical Forces, Relation to Maxwell's Equations -- 9. Outlook: Radiation Forces -- 10. References.
Abstract:
Electrostatic stresses are a fascinating field where materials science, continuum mechanics and electrical engineering all come together. This is one of the reasons why the study of these so-called Maxwell stresses is so interesting.This treatment of electrostatic Maxwell stresses is restricted to the macroscopic description of the phenomenon, but an attempt is made to provide readers with methods and results which will allow them to deal with cases of low material symmetry, as well as with the effect of viscoelasticity upon the material response. Non-standard orientation of the material sample is studied in detail, because it is commonly encountered in laboratory practice, or is intentionally chosen so as to optimize a given device. A key advantage of the analysis presented in this book is seen in the fact that it permits the materials scientist who is planning experiments, or the technician who is designing novel electromechanical actuators, to predict the electrostatic stresses in terms of material constants. This also holds for the strains caused by electrostatic Maxwell stresses, and provides a valuable means for the analysis and optimization of electromechanical devices. The tools required to obtain these results are explained in detail. Where possible, a step-by-step derivation of the results is provided, so that the methods can be tailored to applications that are not treated in the book.In a nutshell, the contents are organized as follows: Chapters 2 to 6 deal with aspects of energy, momentum, symmetry and time. In chapter 7, some of the many applications of electrostatic Maxwell stresses are addressed in detail. Chapter 8 discusses the analogy with magnetostatic Maxwell stresses, and provides a more general derivation of the relationship between the force density and the corresponding stress tensor; thus reinforcing the chapter on
momentum.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Genre:
Electronic Access:
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