Averaging of elastic constants for polycrystals

Blaschke, Daniel N.

doi:10.1063/1.4993443

Title: Averaging of elastic constants for polycrystals

Journal Article · Fri Oct 13 00:00:00 EDT 2017 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.4993443· OSTI ID:1407891

Blaschke, Daniel N. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Many materials of interest are polycrystals, i.e., aggregates of single crystals. Randomly distributed orientations of single crystals lead to macroscopically isotropic properties. Here in this paper, we briefly review strategies of calculating effective isotropic second and third order elastic constants from the single crystal ones. Our main emphasis is on single crystals of cubic symmetry. Specifically, the averaging of third order elastic constants has not been particularly successful in the past, and discrepancies have often been attributed to texturing of polycrystals as well as to uncertainties in the measurement of elastic constants of both poly and single crystals. While this may well be true, we also point out here shortcomings in the theoretical averaging framework.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1407891

Alternate ID(s):: OSTI ID: 1399293

Report Number(s):: LA-UR-17-24288; TRN: US1703059

Journal Information:: Journal of Applied Physics, Vol. 122, Issue 14; ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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Cited By (6)

Properties of dislocation drag from phonon wind at ambient conditions Blaschke, Daniel N. arXiv https://doi.org/10.48550/arxiv.1902.02451	text	January 2019
Fourth-order elastic moduli of polycrystals Krasilnikov, O. M.; Vekilov, Yu. Kh. Physical Review B, Vol. 100, Issue 13 https://doi.org/10.1103/physrevb.100.134107	journal	October 2019
Dislocation drag from phonon wind in an isotropic crystal at large velocities Blaschke, Daniel N.; Mottola, Emil; Preston, Dean L. Philosophical Magazine, Vol. 100, Issue 5 https://doi.org/10.1080/14786435.2019.1696484	journal	December 2019
Properties of Dislocation Drag from Phonon Wind at Ambient Conditions Blaschke, Daniel Materials, Vol. 12, Issue 6 https://doi.org/10.3390/ma12060948	journal	March 2019
Dynamical spin phenomena generated by longitudinal elastic waves traversing ${CoFe}_{2} O_{4}$ films and heterostructures Azovtsev, Andrei V.; Pertsev, Nikolay A. Physical Review B, Vol. 100, Issue 22 https://doi.org/10.1103/physrevb.100.224405	journal	December 2019
Mesomechanical Modeling and Numerical Simulation of the Diffraction Elastic Constants for Ti6Al4V Polycrystalline Alloy Chen, Qiang; Liu, Li; Zhu, Changjun Metals, Vol. 8, Issue 10 https://doi.org/10.3390/met8100822	journal	October 2018

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