Ultrasonic Investigation of Mechanical Properties |
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Page 8
... velocity , dt is a volume element in the wave field , and the integration is to be carried out over the entire volume of the wave field . The potential energy contained in the wave field is given 8 II . LINEAR ELASTIC WAVES B Energy Flux.
... velocity , dt is a volume element in the wave field , and the integration is to be carried out over the entire volume of the wave field . The potential energy contained in the wave field is given 8 II . LINEAR ELASTIC WAVES B Energy Flux.
Page 28
... flux vector for transverse waves with respect to the new coordinates are E1 E2 = = √202A02 1202 2 [ ( B12 — a'2 ) ... energy - flux vector deviates from the wave normal and if the particle displacement vector is rotated clockwise through ...
... flux vector for transverse waves with respect to the new coordinates are E1 E2 = = √202A02 1202 2 [ ( B12 — a'2 ) ... energy - flux vector deviates from the wave normal and if the particle displacement vector is rotated clockwise through ...
Page 34
Robert Edward Green. Fig . 11. Deviation of energy - flux vectors from wave normals for quasitransverse waves v3 for ... vector will depend upon the particle displacements but will always lie somewhere on the projected circle of radius ...
Robert Edward Green. Fig . 11. Deviation of energy - flux vectors from wave normals for quasitransverse waves v3 for ... vector will depend upon the particle displacements but will always lie somewhere on the projected circle of radius ...
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