Ultrasonic Investigation of Mechanical Properties |
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Page 132
... second harmonic for nonlinear elastic wave propagation in an isotropic solid from Eq . ( 207 ) , namely , A2 = ( kA1 ) 2B 2 8poco 2 a = A1 k2a B 8 α 2 ( 383 ) where we have used the fact that a = Poco2 . A2 is the amplitude of the second ...
... second harmonic for nonlinear elastic wave propagation in an isotropic solid from Eq . ( 207 ) , namely , A2 = ( kA1 ) 2B 2 8poco 2 a = A1 k2a B 8 α 2 ( 383 ) where we have used the fact that a = Poco2 . A2 is the amplitude of the second ...
Page 133
... second harmonic as a function of increasing source voltage ( increasing stress amplitude ) . Their results showed that the amplitude of the fundamental wave increased approximately linearly with increasing voltage while the amplitude of ...
... second harmonic as a function of increasing source voltage ( increasing stress amplitude ) . Their results showed that the amplitude of the fundamental wave increased approximately linearly with increasing voltage while the amplitude of ...
Page 140
... second - order moduli were isotropic , the values obtained for the third- order moduli were anisotropic . Gauster and Breazeale ( 253 ) used their capacitive probe ( 232 ) to measure the amplitudes of the second - harmonics of ...
... second - order moduli were isotropic , the values obtained for the third- order moduli were anisotropic . Gauster and Breazeale ( 253 ) used their capacitive probe ( 232 ) to measure the amplitudes of the second - harmonics of ...
Contents
Introduction | 1 |
Nonlinear Elastic Waves | 73 |
On the Energetics Kinetics and Topography of Interfaces | 78 |
Copyright | |
4 other sections not shown
Common terms and phrases
Alers aluminum Andreatch anisotropic Appl axis Breazeale calculated compressive stress crystallographic orientation cubic crystals determine direction cosines displacement gradients displacements along 001 displacements along 110 elastic moduli elastic wave propagation energy-flux vector equation of motion experimental germanium given by Eq hydrostatic pressure hydrostatic pressure transverse ideal orientation interaction isotropic solid linear elastic wave longitudinal wave longitudinal wave propagating materials mode transverse wave nonlinear elastic wave obtain Papadakis particle displacements phonons Phys Physical Acoustics plane wave pressure transverse wave pure mode longitudinal pure mode transverse pv² quasilongitudinal quasitransverse wave rolling direction second harmonic second-order elastic constants shear wave single crystals six third-order elastic stress along 001 symmetry test specimen texture third-order elastic constants Thurston and Brugger transducer transverse wave ultrasonic beam ultrasonic pulse uniaxial stress v₁ v₂ values wave along 100 wave normal wave speeds wave velocity Young's modulus