Ultrasonic Investigation of Mechanical Properties |
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Page 12
... direction cosines l , m , n have been eliminated . This result is antici- pated since for an isotropic material by definition all directions are equivalent and we should obtain the same physical behavior for any given property in any ...
... direction cosines l , m , n have been eliminated . This result is antici- pated since for an isotropic material by definition all directions are equivalent and we should obtain the same physical behavior for any given property in any ...
Page 18
... directions first . 1. PLANE WAVES PROPAGATING ALONG [ 100 ] Let us consider the [ 100 ] direction for which the direction cosines of the wave normal are 7 = 1 , m = 0 , n = 0. For this direction Eqs . ( 79 ) become 211 = C11 212 = 213 ...
... directions first . 1. PLANE WAVES PROPAGATING ALONG [ 100 ] Let us consider the [ 100 ] direction for which the direction cosines of the wave normal are 7 = 1 , m = 0 , n = 0. For this direction Eqs . ( 79 ) become 211 = C11 212 = 213 ...
Page 47
... direction cosines 124.68 ° , 36.48 ° , and 80.05 ° . Quasitransverse wave v3 has maximum response when the particle displacement has direction cosines 97.49 ° , 107.19 ° , and 18.84 ° . All orientations of all crystals possessing cubic ...
... direction cosines 124.68 ° , 36.48 ° , and 80.05 ° . Quasitransverse wave v3 has maximum response when the particle displacement has direction cosines 97.49 ° , 107.19 ° , and 18.84 ° . All orientations of all crystals possessing cubic ...
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