Abstract
Many engineering metals are polycrystalline, as such the elasticity, crystalline orientation and grain distribution are cardinal factors in determining the physical properties of the material. The grain distribution can be measured using a number of different techniques and the orientation by a subset of these (electron back scatter diffraction, spatially resolved acoustic spectroscopy). These measurements are routinely deployed in materials development. However, the elasticity remains a more difficult parameter to measure and is rarely measured because the existing techniques are slow and cumbersome, with most current techniques requiring the laborious growth or destructive isolation of single crystals. In this work we present a technique that can determine the elasticity, crystalline orientation and grain distribution in a fast and easy measurement. The technique utilises SRAS imaging to provide the raw measurement of single grain velocity surfaces, this is input to a novel inverse solver that mitigates the problem of the inversion being very ill-conditioned, by simultaneously solving for multiple uniquely orientated grains at once in a brute-force approach. This allows simultaneous determination of the elastic constants and crystallographic orientation. Furthermore, this technique has the potential to work on polycrystalline materials with minimal preparation and is capable of high accuracy, with the potential to realise errors in the determination of elastic constants values of less than 1 GPa (∼1). In this work we demonstrate good agreement with EBSD (<6∘ disagreement on average for all Euler angles) and determine elastic constants in line with existing single-crystal values, with an expected accuracy of better than 4 GPa. Experimental results are presented for pure α-Ti (hexagonal), Ni and the more exotic Ni-base alloy CMSX-4 (both cubic). With the proposed method, once the initial measurement has been made, subsequent measurements of the elasticity on the same sample can be made rapidly so that the elasticity can be measured in real time, opening the possibility that on-line measurement of elasticity can be used to monitor processes and enable high-throughput materials screening. The current instrumentation approach is applicable to materials with grain sizes down to 50 µm, with the possibility of improving this to grain sizes of ∼5 µm. Further modifications to instrumentation and acoustic velocity calculation will facilitate greater accuracy in the determination of elastic constants.
Highlights
Many engineering materials form, when in the solid state, into a crystalline structure
The general method outlined in this work can be explained by providing a worked example, outlined in Fig. 1, before discussing each component in detail. (a) Starting with a polycrystalline specimen of unknown elastic constants and crystalline orientation, using spatially resolved acoustic spectroscopy (SRAS) the surface acoustic wave velocity (SAW) is captured across the specimen in multiple propagation directions (b)
The determined crystallographic plane is {001}, and elastic constants calculated by inversion are in good agreement with the prior literature, Fig. 7(b) - results from this specimen are indicated by markers
Summary
Many engineering materials form, when in the solid state, into a crystalline structure. Elastic constants have an essential role to play in the calculation of many key physical quantities and in turn our wider understanding of materials on the whole. Determination of single crystal elastic constants has primarily been achieved by ultrasonic measurement, mechanical testing to sample the compliance tensor or theoretical calculation from first principles. This approach is exploited throughout our engineered world, from medical imaging to seismology
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.