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

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Page 17

D.

cubic system and since

we shall consider

depicted in ...

D.

**Cubic Crystals**Since many materials of practical interest crystallize in thecubic system and since

**cubic crystals**have only three nonzero elastic constants,we shall consider

**cubic crystals**next. We shall use the coordinate systemdepicted in ...

Page 49

particular, the greatest accuracy necessary is that required to orient a [1 10]

crystal to within 1° and amounts to 0.03%. Since a [1 10] crystal is most often

used to make experimental elastic-constant determinations for

fact that ...

particular, the greatest accuracy necessary is that required to orient a [1 10]

crystal to within 1° and amounts to 0.03%. Since a [1 10] crystal is most often

used to make experimental elastic-constant determinations for

**cubic crystals**, thefact that ...

Page 94

Moreover, Hughes and Kelly use K0 in their expressions, where K0 is the bulk

modulus for an unstrained isotropic material and is related to the second-order

Lame constants by K0 = i(3A + 2^). (267) C.

energy ...

Moreover, Hughes and Kelly use K0 in their expressions, where K0 is the bulk

modulus for an unstrained isotropic material and is related to the second-order

Lame constants by K0 = i(3A + 2^). (267) C.

**Cubic Crystals**The elastic strainenergy ...

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### Common terms and phrases

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