## Treatise on materials science and technology, Volume 3 |

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Page 38

However, in 1927 Love (/) published his treatise on the mathematical theory of

elasticity which included sections on elastic wave propagation, in 1941 Sakadi (2

) calculated the directions in which pure mode elastic waves could propagate in

single crystals, in 1946 Hearmon (3) summarized work on the elastic constants of

function of crystallographic orientation for a number of cubic and hexagonal

metals.

However, in 1927 Love (/) published his treatise on the mathematical theory of

elasticity which included sections on elastic wave propagation, in 1941 Sakadi (2

) calculated the directions in which pure mode elastic waves could propagate in

single crystals, in 1946 Hearmon (3) summarized work on the elastic constants of

**anisotropic**materials, and in 1950 Gold (4) computed the wave speeds as afunction of crystallographic orientation for a number of cubic and hexagonal

metals.

Page 39

Synge (17) presented a general mathematical analysis of elastic wave

propagation in

an analysis of the energy flux associated with these waves. In 1958, Mason (19)

published his now classic treatise on Physical Acoustics and the Properties of

Solids which has probably done more to stimulate interest in elastic wave

propagation in solids than any other single work. Mason presented the physical

principles associated ...

Synge (17) presented a general mathematical analysis of elastic wave

propagation in

**anisotropic**media and in a subsequent publication (18) presentedan analysis of the energy flux associated with these waves. In 1958, Mason (19)

published his now classic treatise on Physical Acoustics and the Properties of

Solids which has probably done more to stimulate interest in elastic wave

propagation in solids than any other single work. Mason presented the physical

principles associated ...

Page 52

For additional references and the most recent comprehensive tabulation of the

second-order elastic constants of various materials the Landolt- Bornstein

volumes (79,80) should be consulted. D. Texture of Poly crystalline Aggregates

Even though it is often assumed that polycrystalline materials are isotropic, the

vast majority of polycrystalline materials possess some degree of aniso- tropy. By

and large this

treatment has ...

For additional references and the most recent comprehensive tabulation of the

second-order elastic constants of various materials the Landolt- Bornstein

volumes (79,80) should be consulted. D. Texture of Poly crystalline Aggregates

Even though it is often assumed that polycrystalline materials are isotropic, the

vast majority of polycrystalline materials possess some degree of aniso- tropy. By

and large this

**anisotropy**is caused by the fact that prior thermal or mechanicaltreatment has ...

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Alers aluminum Andreatch anisotropic Appl axis calculated compressive stress copper crystallographic orientation cubic crystals determine direction cosines displacement gradients displacements along 001 elastic moduli elastic wave propagation energy-flux vector equation of motion experimental germanium given by Eq hydrostatic pressure hydrostatic pressure longitudinal 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 plane wave pressure longitudinal wave pressure transverse wave pure mode longitudinal pure mode transverse quasitransverse waves rolling direction rolling plane second harmonic second-order elastic constants shear wave single crystals six third-order elastic stress along 001 stress along 110 Substituting Eqs symmetry test specimen texture third-order elastic constants Thurston and Brugger transducer transverse wave ultrasonic beam ultrasonic pulse uniaxial stress values wave along 100 wave normal wave speeds wave velocity Young's modulus