Temperature and composition dependence of the elastic constants of dilute alloys of manganese in copper

Waldorf, D.

doi:10.1016/0022-3697(60)90077-9

Cited by 36 publications

(4 citation statements)

References 19 publications

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“…Using the thermal-expansion results cited above, the computed maw density at 4 K is 9.0223 g/cm8, which agrees reasonably well with reported values: Units are loll N/ma. 9.0305 [7],' 9.023 [ll], and 8.997 [12]. Besides the usual Cij)s, Table 1 also includes some useful linear combinations:…”

Section: Copper's Single-crystal Elastic Constants At T = 4 Kmentioning

confidence: 99%

Elastic constants of polycrystalline copper at low temperatures. Relationship to single-crystal elastic constants

Ledbetter

1981

Phys. Stat. Sol. (a)

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Elastic constants of polycrystalline copper are determined between 4 and 295 K by measuring ultrasonic velocities, longitudinal and transverse. Five elastic constants are given: longitudinal modulus, shear modulus, Young's modulus, bulk modulus (reciprocal compressibility), and Poisson's ratio. Considering eight theories of single-crystal :polycrystal elastic constants, the Hershey-Kroner-Eshelby theory agrees best with observation, within 1% for the shear modulus, G. (Voigt and Reuss first-order bounds on (7 differ by 29%.) A problem exists concerning the calculation of the Debye temperature of polycrystalline aggregates. Die elastischen Konstanten von polykristallinem Kupfer werden zwischen 4 und 295 K durch Messung der Ultraschallgeschwindigkeiten, longitudinale und transversale, bestimmt. Funf elastische Konstanten werden bestimmt : longitudinaler Elastizitiitsmodul, Schermodul, Young-Modul, (reziproker) Kompressionsmodul und Poissonverhiiltnis. Unter Berucksichtigung von acht Theorien fur das Verhliltnis Einkristall :Polykristall-Elastizitiitskonstanten, stimmt die Hershey-Kroner-Eshelby-Theorie am besten mit den Beobachtungen iiberein; fur den Schermodul G innerhalb 1%. (Die Randbedingungen erster Ordnung fur G von Voigt und Reuss unterscheiden sich um 29%.) Die Berechnung der Debye-Temperatur von polykristallinen Aggregaten stellt ein Problem dar.

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Section: Copper's Single-crystal Elastic Constants At T = 4 Kmentioning

confidence: 99%

Elastic constants of polycrystalline copper at low temperatures. Relationship to single-crystal elastic constants

Ledbetter

1981

Phys. Stat. Sol. (a)

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“…Rayne (1959) • Waldorf (1960) IJJ. Alers, Thompson ( 1961) .... • Waldorf (1960) .6 Alers, Thomps(i)n ( 1961) --¢ Debes; s (1971 ) .. e Greer, Bucknell (1964) " Joquerod, Mugeli (1931) .., Jos,hi, Bhetnogar (1969, spectroscopic ... Joshi, Bhatnogor (1969. commerciol fjI Koster (l948o),U946b) ,., Lozinskii (1961) fl (1691) s.~ * Best volue from Table 9 ' ''fl1e.…”

Section: Refer·encementioning

confidence: 99%

Elastic Properties of Metals and Alloys. II. Copper

Ledbetter

Naimon

1974

Journal of Physical and Chemical Reference Data

208

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The elastic properties of copper have been compiled and reviewed. Polycrystalline elastic constants included are: Young's modulus, the shear mociululO, the bulk modulm, and PoislOon's ratio. Single·crystal constantlO of second·, third., and fourth·order are included. Over 200 refer· ences to the experimental literature are given. A few theoretical numbers are included. When suffieient data exist, hest values are recommended together with their standard errors. Effects on the elastic constants of tf'mperature, pressure, and mechanical (plastic) deformation are in· cluded. The Cauchy (central·force) relationships and the single·crystal-polycrystal relationship are also discussed.

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“…Measurements of the elastic properties of CuMn alloys (Waldorf 1960) show that the elastic Debye temperature decreases by 0.6 K (at% Mn)-'. Consequently corrections for the presence of Mn to the lattice contribution to the expansion and specific heat capacity are not expected to be significant.…”

Section: Resultsmentioning

confidence: 99%

On the Cauchy-Riemann Conditions in the Class of Functions With Summable Modulus, and Some Boundary Properties of Analytic Functions

Sindalovskii¹

1987

Math. USSR Sb.

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Values for the magnetic Gruneisen parameter yM for CuMn, (Cu-10 at?; A1)Mn and AgMn alloys determined from low-temperature thermal expansion and specific heat capacity measurements are reported. yM is found to be both temperature-and concentration-dependent in contrast to the simple RKKY model for the spin-glass ordering. The concentration dependence of yM differs significantly from that reported earlier based upon a combination of thermal expansion and specific heat capacity measurements made independently on different samples. Dipolar anisotropy is discussed as a possible cause of the dependence of yM on temperature and magnetic impurity concentration.

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Temperature and composition dependence of the elastic constants of dilute alloys of manganese in copper

Cited by 36 publications

References 19 publications

Elastic constants of polycrystalline copper at low temperatures. Relationship to single-crystal elastic constants

Elastic constants of polycrystalline copper at low temperatures. Relationship to single-crystal elastic constants

Elastic Properties of Metals and Alloys. II. Copper

On the Cauchy-Riemann Conditions in the Class of Functions With Summable Modulus, and Some Boundary Properties of Analytic Functions

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