ULTRASONIC METHODS IN SOLID STATE PHYSICS
CONTENTS I INTRODUCTION NONLINEARITY OF GASES AND LIQUIDS NONLINEARITY OF HOMOGENEOUS SOLIDS MICRO-INHOMOGENEOUS SOLIDS GENERAL CONSIDERATIONS REFERENCES 1 NONLINEAR WAVE PROCESSES IN HOMOGENEOUS MEDIA A PROGRESSIVE APPROXIMATION APPROACH: THE SECOND HARMONIC GENERATION IN AN UNBOUNDED MEDIUM GENERATION OF THE WAVE AT A DIFFERENCE FREQUENCY: PARAMETRIC ARRAY, DEGENERATE INTERACTION OF WAVES GENERATION OF THE WAVE AT SECOND HARMONIC FREQUENCY IN RESONATORS SIMPLE WAVES AND FORMATION OF DISCONTINUITIES EXACT SOLUTIONS OF THE BURGERS EQUATION NONLINEAR WAVE PROCESSES IN RELAXING MEDIA SPHERICAL AND CYLINDRICAL WAVES 2 PHYSICAL MODELS AND MECHANISMS OF THE STRUCTURE NONLINEARITY OF MICRO-INHOMOGENEOUS MEDIA WITH CRACKS AND CAVITIES CONTACT MECHANISM OF NONLINEARITY FOR CRACKS WITH ROUGH AND SMOOTH SURFACES CAPILLARY AND VISCOUS MECHANISMS OF NONLINEARITY FOR CRACKS PARTIALLY FILLED WITH LIQUID THE EQUILIBRIUM STATE OF A CRACK PARTIALLY FILLED WITH LIQUID THE EQUATION OF STATE FOR A CRACK PARTIALLY FILLED WITH A PERFECT LIQUID THE EQUATION OF STATE FOR A CRACK PARTIALLY FILLED WITH A VISCOUS LIQUID ACOUSTIC NONLINEARITY OF POROUS WATER-LIKE MATERIALS WITH CYLINDRICAL CAVITIES PARTIALLY FILLED WITH VISCOUS LIQUID AN ADHESION MECHANISM OF HYSTERETIC NONLINEARITY FOR CRACKS 3 ELASTIC WAVES IN MEDIA WITH STRONG ACOUSTIC NONLINEARITY NONLINEAR PROPAGATION AND INTERACTION OF ACOUSTIC WAVES IN MEDIA WITH CRACKS POSSESSING ADHESION ACOUSTIC WAVES IN MEDIA WITH BIMODULAR NONLINEARITY ACOUSTIC WAVES IN MEDIA WITH BIMODULAR NONLINEARITY AND LINEAR DISSIPATION DOUBLING OF ACOUSTIC WAVE FREQUENCY BY A NONLINEAR LAYER PROPAGATION OF HIGH-FREQUENCY PULSES IN MEDIA WITH DISSIPATIVE NONLINEARITY INTERACTION OF COUNTER-PROPAGATING ACOUSTIC WAVES IN MEDIA WITH DISSIPATIVE NONLINEARITY 4 WAVE PROCESSES IN MICRO-INHOMOGENEOUS SOLIDS WITH HYSTERETIC NONLINEARITY HYSTERETIC EQUATIONS OF STATE FOR SOLIDS: PHENOMENOLOGICAL MODELS NONLINEAR WAVES IN AN UNBOUNDED MEDIUM PROPAGATION OF UNIPOLAR ACOUSTIC PULSES SELF-DEMODULATION OF HIGH-FREQUENCY ACOUSTIC PULSES NONLINEAR TRAVELLING WAVES IN A RING RESONATOR VIBRATIONS OF RODS COMPOSED OF MATERIALS WITH HYSTERETIC NONLINEARITY AND LINEAR DISSIPATION PROPAGATION OF UNIPOLAR STRAIN PULSES IN MEDIA WITH HYSTERETIC NONLINEARITY OF AN ARBITRARY POWER-LAW 5 WAVE PROCESSES IN NONLINEAR MICRO-INHOMOGENEOUS MEDIA WITH RELAXATION RHEOLOGICAL MODEL AND DYNAMIC EQUATION OF STATE OF NONLINEAR MICRO-INHOMOGENEOUS MEDIA WITH RELAXATION SECOND HARMONIC GENERATION GENERATION OF THE DIFFERENCE FREQUENCY WAVE SELF-DEMODULATION OF PULSES WITH A HIGH-FREQUENCY CARRIER EVOLUTION OF ACOUSTIC WAVES IN MICRO-INHOMOGENEOUS MEDIA WITH QUADRATIC ELASTIC NONLINEARITY AND RELAXATION STATIONARY SYMMETRIC SHOCK WAVES EVOLUTION EQUATIONS FOR LOW-FREQUENCY AND HIGH-FREQUENCY ACOUSTIC WAVES EVOLUTION OF INITIALLY HARMONIC WAVES WAVE PROCESSES IN MICRO-INHOMOGENEOUS ELASTIC MEDIA WITH HYSTERETIC NONLINEARITY AND RELAXATION EQUATION OF STATE OF MICRO-INHOMOGENEOUS MEDIUM WITH HYSTERETIC NONLINEARITY AND RELAXATION NONLINEAR PROPAGATION OF A QUASI-HARMONIC WAVE FREQUENCY DEPENDENCIES OF NONLINEAR COEFFICIENTS FOR A MEDIUM WITH DEFECTS HAVING DIFFERENT DISTRIBUTION OVER RELAXATION FREQUENCIES SIMULATION OF THE DYNAMIC HYSTERESES IN MICRO-INHOMOGENEOUS MEDIA CHARACTERIZED BY IMPERFECT ELASTICITY AND RELAXATION NONLINEAR WAVE PROCESSES IN MEDIA CONTAINING CRACKS PARTIALLY FILLED WITH A VISCOUS LIQUID EQUATION OF STATE FOR A ROD CONTAINING CRACKS PARTIALLY FILLED WITH A VISCOUS LIQUID NONLINEAR PROPAGATION AND INTERACTION OF ELASTIC WAVES IN A ROD WITH CRACKS ANALYSIS OF THE WAVE PROCESSES IN A ROD WITH IDENTICAL CRACKS ANALYSIS OF THE WAVE PROCESSES IN A ROD WITH CRACKS DISTRIBUTED OVER THE RADII 6 WAVE PROCESSES IN POLYCRYSTALLINE SOLIDS WITH DISSIPATIVE AND REACTIVE NONLINEARITY CAUSED BY DISLOCATIONS MODIFICATION OF THE LINEAR PART OF THE GRANATO–LÜCKE DISLOCATION THEORY OF ABSORPTION AND EQUATION OF STATE WITH RESONANCE DISSIPATIVE AND REACTIVE NONLINEARITY FOR POLYCRYSTALLINE SOLIDS ATTENUATION OF HIGH-FREQUENCY PULSES AND THE PHASE DELAY OF ITS CARRIER FREQUENCY UNDER THE ACTION OF A LOW-FREQUENCY WAVE AMPLITUDE–PHASE SELF-ACTION PHENOMENA IN THE HIGH-FREQUENCY WAVE OF FINITE AMPLITUDE 7 EXPERIMENTAL STUDIES OF NONLINEAR ACOUSTIC PHENOMENA IN POLYCRYSTALLINE ROCKS AND METALS EXPERIMENTAL SETUP NONLINEAR SHIFT IN RESONANCE FREQUENCY IN A GLASS ROD WITH ARTIFICIAL CRACKS LOW-FREQUENCY AMPLITUDE-DEPENDENT INTERNAL FRICTION AND HIGH-FREQUENCY DISSIPATIVE NONLINEARITY OF COARSE-GRAINED SANDSTONE PHENOMENA OF LF HYSTERETIC NONLINEARITY: AMPLITUDE-DEPENDENT LOSSES AND SHIFTS OF RESONANT FREQUENCIES NONLINEAR ATTENUATION OF AN ULTRASONIC PULSE UNDER THE ACTION OF A LF WAVE EFFECT OF AN INTENSE SOUND WAVE ON THE ACOUSTIC PROPERTIES OF A FINE-GRAINED SANDSTONE ROD RESONATOR NONLINEAR ACOUSTIC PHENOMENA IN LIMESTONE PHENOMENA OF LF HYSTERETIC NONLINEARITY MANIFESTATION OF THE HF DISSIPATIVE NONLINEARITY OSCILLOGRAMS OF THE FREE BOUNDARY NONLINEAR OSCILLATIONS OF A MAGNESITE RESONATOR HIGH-FREQUENCY NONLINEAR ACOUSTIC PHENOMENA IN MARBLE ATTENUATION AND PHASE DELAY OF THE CARRIER FREQUENCY OF WEAK ULTRASONIC PULSES UNDER THE ACTION OF A LF POWERFUL WAVE SELF-ACTION OF FINITE-AMPLITUDE ULTRASONIC PULSES SOUND BY SOUND DAMPING OF POLYCRYSTALLINE ZINC MODULATION OF SOUND BY SOUND IN COPPER SUBJECTED TO DIFFERENT DEGREES OF ANNEALING 8 EXPERIMENTAL STUDIES OF NONLINEAR ACOUSTIC PHENOMENA IN GRANULAR MEDIA SELF-DEMODULATION OF ACOUSTIC PULSES IN PARTIALLY WATER-SATURATED RIVER SAND EXPERIMENTAL RESULTS SELF-ACTION OF ACOUSTIC WAVES IN SYSTEMS WITH DISSIPATIVE NONLINEARITY DESCRIPTION OF THE EXPERIMENT ANALYTICAL DESCRIPTION OF THE PHENOMENON OF SELF-BRIGHTENING AMPLIFICATION OF SOUND BY SOUND IN SYSTEMS WITH DISSIPATIVE NONLINEARITY SELF-ACTION OF A LOW-FREQUENCY ACOUSTIC WAVE AND GENERATION OF THE SECOND HARMONIC IN DRY AND WATER-SATURATED RIVER SAND EXPERIMENTAL SCHEME AND METHOD OF MEASUREMENT MEASUREMENT RESULTS ANALYTICAL DESCRIPTION OF THE PHENOMENA OF SELF-ACTION AND GENERATION OF THE SECOND HARMONIC AMPLITUDE MODULATION OF SOUND BY SOUND IN WATER-SATURATED RIVER SAND 9 NONLINEAR PHENOMENA IN SEISMIC WAVES STATIC DEFORMATION OF THE EARTH’S SURFACE NEAR THE HARMONIC SOURCE OF SEISMIC VIBRATIONS AMPLITUDE MODULATION OF SOUND BY SOUND IN SANDY SOIL SELF-ACTION OF THE SEISMIC WAVE IN SANDY SOIL AMPLITUDE–PHASE MODULATION OF A SEISMO–ACOUSTIC WAVE UNDER DIURNAL TIDES