Maxwell stresses and dielectric materials
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Bibliographic Information
Maxwell stresses and dielectric materials
(Materials science foundations, v. 39)
Trans Tech Publications, c2008
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Note
Includes bibliographical references (p. 97-105)
Description and Table of Contents
Description
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.
Table of Contents
Preface
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
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