Monocrystal elastic constants in the ultrasonic study of welds. Ledbetter, H. M. Ultrasonics, 23(1):9–13, January, 1985.
Monocrystal elastic constants in the ultrasonic study of welds [link]Paper  doi  abstract   bibtex   
For studying welds ultrasonically, the importance of knowing the material's single-crystal elastic constants, the Cijs, is explained. Where these constants are not known, some guidelines are given for estimating them from polycrystalline elastic constants such as Young's modulus and the shear modulus. The important case of [001] fibre texture is considered. Being transversely isotropic, this case exhibits five macroscopic elastic constants, which are related to the three cubic elastic constants: C11, C12, C44. From these five constants the angular variations of Young's modulus, the torsional modulus, and the sound velocities can be computed. For the same [001] fibre texture, results are given for a standard well-characterized material — copper, where the Cijs are well known.
@article{ledbetter_monocrystal_1985,
	title = {Monocrystal elastic constants in the ultrasonic study of welds},
	volume = {23},
	issn = {0041-624X},
	url = {http://www.sciencedirect.com/science/article/pii/0041624X85900058},
	doi = {10.1016/0041-624X(85)90005-8},
	abstract = {For studying welds ultrasonically, the importance of knowing the material's single-crystal elastic constants, the Cijs, is explained. Where these constants are not known, some guidelines are given for estimating them from polycrystalline elastic constants such as Young's modulus and the shear modulus.

The important case of [001] fibre texture is considered. Being transversely isotropic, this case exhibits five macroscopic elastic constants, which are related to the three cubic elastic constants: C11, C12, C44. From these five constants the angular variations of Young's modulus, the torsional modulus, and the sound velocities can be computed. For the same [001] fibre texture, results are given for a standard well-characterized material — copper, where the Cijs are well known.},
	number = {1},
	urldate = {2015-03-05TZ},
	journal = {Ultrasonics},
	author = {Ledbetter, H. M.},
	month = jan,
	year = {1985},
	keywords = {elastic constants, ultrasonic testing, welds},
	pages = {9--13}
}

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