AN INTRODUCTION TO THE THEORY OF PIEZOELECTRICITY
CONTENTS CHAPTER ONE NONLINEAR ELECTROELASTICITY FOR STRONG FIELDS 1 2 3 4 5 6 7 8 DEFORMATION AND MOTION OF A CONTINUUM GLOBAL BALANCE LAWS POLARIZATION PIEZOELECTRIC EFFECTS ELECTRIC BODY FORCE, COUPLE, AND POWER BALANCE LAWS LOCAL BALANCE LAWS MATERIAL FORM OF LOCAL BALANCE LAWS CONSTITUTIVE RELATIONS INITIAL-BOUNDARY-VALUE PROBLEM VARIATIONAL FORMULATION TOTAL STRESS FORMULATION POYNTING’S THEOREM ENERGY INTEGRAL 5 6 7 8 9 10 4 3 UNIQUENESS CYLINDRICAL COORDINATES SPHERICAL COORDINATES COMPACT MATRIX NOTATION POLARIZED CERAMICS QUARTZ AND LANGASITE LITHIUM NIOBATE AND LITHIUM TANTALATE BOUNDARY-VALUE PROBLEM SHORTED ELECTRODES OPEN ELECTRODES TANGENTIAL THICKNESS-SHEAR OF A CERAMIC CIRCULAR CYLINDER ANTI-PLANE PROBLEMS OF POLARIZED CERAMICS A SURFACE DISTRIBUTION OF ELECTRIC POTENTIAL A CIRCULAR HOLE UNDER AXISYMMETRIC LOADS AXIAL THICKNESS-SHEAR OF A CIRCULAR CYLINDER 10 11 A CIRCULAR HOLE UNDER SHEAR A CIRCULAR CYLINDER IN AN ELECTRIC FIELD 12 13 A SCREW DISLOCATION A CRACK BOUNDARY-VALUE PROBLEM BOUNDARY-VALUE PROBLEM FREE VIBRATION FORCED VIBRATION THICKNESS-SHEAR VIBRATION OF A QUARTZ PLATE (THICKNESS EXCITATION) BOUNDARY-VALUE PROBLEM FREE VIBRATION FORCED VIBRATION MECHANICAL EFFECTS OF ELECTRODES TANGENTIAL THICKNESS-SHEAR VIBRATION OF A CIRCULAR CYLINDER ABSTRACT FORMULATION SELF-ADJOINTNESS REALITY ORTHOGONALITY POSITIVITY VARIATIONAL FORMULATION PERTURBATION BASED ON VARIATIONAL FORMULATION PERTURBATION BASED ON ABSTRACT FORMULATION EXTENSIONAL VIBRATION OF A THIN ROD RADIAL VIBRATION OF A THIN RING RADIAL VIBRATION OF A THIN PLATE 10 11 12 RADIAL VIBRATION OF A THIN CYLINDRICAL SHELL RADIAL VIBRATION OF A THIN SPHERICAL SHELL FREQUENCY SHIFTS DUE TO SURFACE ADDITIONAL MASS A GAP BETWEEN TWO HALF-SPACES OF DIFFERENT CERAMICS A GAP BETWEEN TWO HALF-SPACES OF THE SAME CERAMIC WAVES ON A CIRCULAR CYLINDRICAL SURFACE ACOUSTIC WAVE GENERATION LINEARIZATION OF DIFFERENTIAL EQUATIONS A VARIATIONAL PRINCIPLE LINEARIZATION USING THE TOTAL STRESS FORMULATION VARIATIONAL APPROACH SMALL BIASING FIELDS THEORY OF INITIAL STRESS FREQUENCY PERTURBATION 7 ELECTROSTRICTIVE CERAMICS NONLINEAR THEORY EFFECTS OF A SMALL, ELECTRICAL BIAS GOVERNING EQUATIONS QUASISTATIC APPROXIMATION ANTI-PLANE PROBLEMS OF CERAMICS SURFACE WAVES ELECTROMAGNETIC RADIATION GOVERNING EQUATIONS AN EXAMPLE 2 3 4 5 TRANSFORMERS A ONE-DIMENSIONAL MODEL FREE VIBRATION ANALYSIS FORCED VIBRATION ANALYSIS NUMERICAL RESULTS PRESSURE SENSORS EQUATIONS FOR SMALL FIELDS SUPERPOSED ON A THERMAL BIAS ANALYSIS OF A TEMPERATURE SENSOR VIBRATION SENSITIVITY OF A RESONATOR REFERENCES CHAPTER