journal article·2017-03

A methodology to determine the elastic moduli of crystals by matching experimental and simulated lattice strain pole figures using discrete harmonics

Euan Wielewski, Donald E. Boyce, Jun-Sang Park, Matthew P. Miller, Paul R. Dawson

Acta Materialia· Volume 126
Publisher page

Abstract

Determining reliable single crystal material parameters for complex polycrystalline materials is a significant challenge for the materials community. In this work, a novel methodology for determining those parameters is outlined and successfully applied to the titanium alloy, Ti-6Al-4V. Utilizing the results from a lattice strain pole figure experiment conducted at the Cornell High Energy Synchrotron Source, an iterative approach is used to optimize the single crystal elastic moduli by comparing experimental and simulated lattice strain pole figures at discrete load steps during a uniaxial tensile test. Due to the large number of unique measurements taken during the experiments, comparisons were made by using the discrete spherical harmonic modes of both the experimental and simulated lattice strain pole figures, allowing the complete pole figures to be used to determine the single crystal elastic moduli.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Metal Forming Simulation Techniques · High-Velocity Impact and Material Behavior · Metallurgy and Material Forming

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (34)

Show source-provided references
1. The elastic constants of anisotropic materials10.1103/RevModPhys.18.409 ↗
2. Some properties of single metal crystals10.1073/pnas.10.10.411 ↗
3. Certain physical properties of single crystals of tungsten, antimony, bismuth, tellurium, cadmium, zinc, and tin10.2307/25130058 ↗
4. Voigt · 1928
5. Bergmann · 1938
6. Ultrasonic measurements on single crystals10.1103/PhysRev.72.321 ↗
7. Determination of the elastic constants of solids by ultrasonic methods10.1063/1.1698236 ↗
8. Wave propagation and measurement of elastic properties of liquids and solids
9. Single-crystal elastic moduli and the hcp → bcc transformation in ti, zr, and hf10.1103/PhysRev.135.A482 ↗
10. Researches on metal crystals. i. elastic constants of zinc and cadmium
11. Elastic constants of single crystals of copper, gold, and lead
12. Line-focus acoustic microscopy of Ti-6242 alpha/beta single colony: determination of elastic constants
13. Poulsen · 2004
14. A method for measuring single crystal elastic moduli using high energy x-ray diffraction and a crystal–based finite element model10.1016/j.actamat.2010.06.056 ↗
15. Zur berechnung der vielkristallinen elastizitaetskonstanten aus den werten der einkristalle
16. Evaluation of single crystal elastic constants from mechanical and x-ray elastic constants of the polycrystal
17. Estimation of single-crystal elastic moduli from polycrystalline x-ray diffraction at high pressure: application to FeO and Iron10.1103/PhysRevLett.80.2157 ↗
18. Calculation of single-crystal elastic constants for cubic crystal symmetry from powder diffraction data10.1107/S002188989800898X ↗
19. Measurement of single-crystal elastic constants by neutron diffraction from polycrystals10.1107/S0021889899002393 ↗
20. Experimental measurement of lattice strain pole figures using synchrotron X rays10.1063/1.2130668 ↗
21. Measuring and modeling distributions of stress state in deforming polycrystals10.1016/j.actamat.2008.04.062 ↗
22. Bunge · 2013
23. Computational modeling of f.c.c. deformation textures over rodrigues' space10.1016/S1359-6454(00)00044-6 ↗
24. Quantitative rietveld texture analysis of zirconium from single synchrotron diffraction images10.1107/S0021889805006059 ↗
25. Integrating experiments and simulations to estimate uncertainty in lattice strain measurements10.1177/0309324713492325 ↗
26. Dawson · 2015
27. Kelly · 1970
28. Elastic anisotropy of HCP metal crystals and polycrystals
29. Orientation mapping10.1007/BF02649253 ↗
30. Crystal rotations represented as rodrigues vectors10.1155/TSM.10.167 ↗
31. Representation of orientation and disorientation data for cubic, hexagonal, tetragonal and orthorhombic crystals10.1107/S0108767391006864 ↗
32. Distributions of misorientation angles and misorientation axes for crystallites with different symmetries10.1107/S0108767396015115 ↗
33. Modeling crystallographic texture evolution with finite elements over neo-Eulerian orientation spaces10.1016/S0045-7825(97)00072-8 ↗
34. Atkinson · 2012