Ultrasonic Investigation of Mechanical Properties |
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Page 17
Robert Edward Green. D. Cubic Crystals Since many materials of practical interest crystallize in the cubic system and since cubic crystals have only three nonzero elastic constants , we shall consider cubic crystals next . We shall use ...
Robert Edward Green. D. Cubic Crystals Since many materials of practical interest crystallize in the cubic system and since cubic crystals have only three nonzero elastic constants , we shall consider cubic crystals next . We shall use ...
Page 94
... Cubic Crystals The elastic strain energy for the case of the most symmetrical class of cubic crystals , including third - order terms , but omitting terms independent of strain was first given by Birch ( 147 ) as m m Φ = 2011 ( 21 + 22 ...
... Cubic Crystals The elastic strain energy for the case of the most symmetrical class of cubic crystals , including third - order terms , but omitting terms independent of strain was first given by Birch ( 147 ) as m m Φ = 2011 ( 21 + 22 ...
Page 112
... cubic crystal which is simultaneously subjected to either a hydrostatic ... crystals , Eq . ( 268 ) , which included terms of third order in the strains ... cubic crystals . In 1953 , Hearmon ( 136 ) defined the third - order elastic ...
... cubic crystal which is simultaneously subjected to either a hydrostatic ... crystals , Eq . ( 268 ) , which included terms of third order in the strains ... cubic crystals . In 1953 , Hearmon ( 136 ) defined the third - order elastic ...
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