Bounds and self-consistent estimates for elastic constants of polycrystals of hcp solid He
Journal Article
·
· Physical Review. B, Condensed Matter and Materials Physics
Recent advances in methods for computing both Hashin-Shtrikman bounds and related selfconsistent (or CPA) estimates of elastic constants for polycrystals composed of randomly oriented crystals can be applied successfully to hexagonal close packed solid He{sup 4}. In particular, since the shear modulus C{sub 44} of hexagonal close-packed solid He is known to undergo large temperature variations when 20 mK {<=} T {<=} 200 mK, bounds and estimates computed with this class of effective medium methods, while using C{sub 44} {r_arrow} 0 as a proxy for melting, are found to be both qualitatively and quantitatively very similar to prior results obtained using Monte Carlo methods. Hashin- Shtrikman bounds provide significantly tighter constraints on the polycrystal behavior than do the traditional Voigt and Reuss bounds.
- Research Organization:
- Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US)
- Sponsoring Organization:
- Earth Sciences Division
- DOE Contract Number:
- AC02-05CH11231
- OSTI ID:
- 1082188
- Report Number(s):
- LBNL-5386E
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 9 Vol. 85; ISSN 1098-0121; ISSN PRBMDO
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
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