Ultrasonic Investigation of Mechanical Properties |
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Page 8
... wave normal ( crystallographic direction cosines l , m , n ) of interest . These ik components are substituted into Eq . ( 30 ) along with the density p and Eq . ( 30 ) is solved for the three plane wave speeds V1 , V2 , V3 . Next ...
... wave normal ( crystallographic direction cosines l , m , n ) of interest . These ik components are substituted into Eq . ( 30 ) along with the density p and Eq . ( 30 ) is solved for the three plane wave speeds V1 , V2 , V3 . Next ...
Page 16
... wave normal . Therefore , in summary of plane wave propagation in an unbounded linear elastic homogeneous isotropic solid , we find that in any arbitrary direction a pure mode longitudinal wave may propagate and the energy flux ...
... wave normal . Therefore , in summary of plane wave propagation in an unbounded linear elastic homogeneous isotropic solid , we find that in any arbitrary direction a pure mode longitudinal wave may propagate and the energy flux ...
Page 20
... wave normal . For the 0 , ẞ2 + y2 = 1 and transverse waves α = E1 = 2 œ2Ao2pv1⁄2 ‚ 2 E2 = 0 , Ē1 = 0 , ĒT = E1 ( 93 ) and consequently a = 1 , b = 0 , c = 0 ( 94 ) and again the energy flows in the same direction as the wave normal ...
... wave normal . For the 0 , ẞ2 + y2 = 1 and transverse waves α = E1 = 2 œ2Ao2pv1⁄2 ‚ 2 E2 = 0 , Ē1 = 0 , ĒT = E1 ( 93 ) and consequently a = 1 , b = 0 , c = 0 ( 94 ) and again the energy flows in the same direction as the wave normal ...
Contents
Introduction | 1 |
Nonlinear Elastic Waves | 73 |
On the Energetics Kinetics and Topography of Interfaces | 78 |
Copyright | |
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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