The Theory of Piezoelectric Shells and Plates

Nellya N. Rogacheva

1. Preliminary Information -- 2. Basic Equations -- 3. Boundary Conditions in Electroelasticity Theory -- 4. General Theorems on Electroelasticity -- 5. Two-Dimensional Equilibrium Equations -- 6. Hypotheses of the Theory of Nonelectric Shells and the Saint Venant Principle -- 7. Shells with Thickness Polarization (Electrode-Covered Faces) -- 8. Shells with Thickness Polarization (Faces without Electrodes) -- 9. Shells with Tangential Polarization (Faces without Electrodes) -- 10. Shells with Tangential Polarization (Electrode-Covered Faces) -- 11. Free Shells with Thickness Polarization -- 12. Bimorphic Shells and Plates -- 13. The Theory of Piezoceramic Plates with Thickness Polarization -- 14. Plates with Tangential Polarization -- 15. Preliminary Remarks -- 16. The Membrane Theory of Shells with Thickness Polarization -- 17. The Membrane Theory of Shells with Tangential Polarization -- 18. The Principal Stressed State of Shells with Tangential Polarization and Electrode-Covered Faces -- 19. Pure Moment Electroelastic State of a Shell with Thickness Polarization -- 20. Simple Edge Effects in Electroelastic Shells with Thickness Polarization -- 21. Simple Edge Effects in Shells with Tangential Polarization -- 22. Boundary Conditions for the Principal Electroelastic State and Simple Edge Effect -- 23. Free Vibrations of Shells with Thickness Polarization -- 24. Free Vibrations of Shells with Tangential Polarization -- 25. The Refined Membrane Dynamic Theory -- 26. Forced Vibrations of Shells with Thickness Polarization -- 27. Forced Vibrations of a Circular Cylindrical Shell with Longitudinal Polarization (Axisymmetric Problem) -- 28. Forced Vibrations of a Circular Cyndrical Shell with Longitudinal Polarization (Nonaxisymmetric Problem) -- 29. Two Nonclassical Problems for Shells with Tangential Polarization -- 30. Axisymmetric Tangential Vibrations of Circular Plates with Thickness Polarization -- 31. Active Suppression of Vibrations in Electroelastic Bars and Round Plates by Means of Piezoeffect -- 32. Resonance Method for Measuring Fluid Viscosity Using a Piezoelement -- 33. Using a Piezoceramic Element with Thickness Polarization as a Strain Gauge -- 34. Shells with Thickness Polarization -- 35. Pure Moment Electroelastic State of Shells with Thickness Polarization -- 36. Shells with Tangential Polarization (Electrode-Covered Faces) -- 37. Shells with Tangential Polarization (Faces without Electrodes) I -- 38. T he Boundary Layer of a Shell with T hickness Polarization -- 39. Boundary Layer at the Edge o:1 = o:10 (Preliminary Polarization along the 0:2-Lines) -- 40. Boundary Layer near the Edge 0:2 = 0:20 (Preliminary Polarization along the 0:2-Lines) -- 41. T he Saint Venant Principle Generalized to Electroelasticity -- 42. Two-Dimensional Electroelastic State with Great Variability in the Direction Normal to the Edge -- 43. Boundary Conditions in the T heory of Shells with T hickness Polarization (Electrode-Covered Faces) -- 44. Boundary Conditions for a Shell with T hickness Polarization (Faces without Electrodes) -- 45. Boundary Conditions in the T heory of Shells with Tangential Polarization (Electrode-Covered Faces) -- 46. Boundary Conditions in the T heory of Shells with Tangential Polarization (Faces without Electrodes) -- 47. Antiplane Boundary Layer at a Free Edge of a Shell with T hickness Polarization -- 48. Antiplane Boundary Layer at a Free Edge of a Shell with Tangential Polarization -- 49. Antiplane Boundary Layer at a Rigidly Fixed Edge of a Shell with Tangential Polarization -- 50. Plane Boundary Layer at a Rigidly Fixed Edge of a Shell with Tangential Polarization.