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Orientation imaging using spatially resolved acoustic spectroscopy (SRAS). Steve D. Sharples, Wenqi Li, Richard Smith, Matt Clark and Mike Somekh Applied Optics Group, Electrical Systems & Optics Research Division Faculty of Engineering, University of Nottingham. AFPAC, January 2011.
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Orientation imaging using spatially resolved acoustic spectroscopy (SRAS) Steve D. Sharples, Wenqi Li, Richard Smith, Matt Clark and Mike Somekh Applied Optics Group, Electrical Systems & Optics Research Division Faculty of Engineering, University of Nottingham. AFPAC, January 2011
What is SRAS? EBSD image courtesy of University of Wales, Swansea SRAS surface acoustic wave velocity image • Spatially Resolved Acoustic Spectroscopy • A Laser ultrasound technique for imaging microstructure** • Uses SAW velocity as contrast • varies with grain orientation • varies with SAW direction • Produces nice images of grains and tells us how they are orientated • Tells us all sorts of nice information about the sample microstructure
f-SRAS: frequency spectrum SRAS • Excite with short (ns) laser pulses projected through optical grating. • The grating generates narrowband SAWs. Only one wavelength, λ (the grating period). • Detect the SAWs with a broadband optical detector. Measure the frequency on a scope. • Use v = fλto get the velocity • The patch under the grating is the patch which is measured
Resolution: 25μm 700μm 10mm Resolution: 25μm Resolution: 400μm Example images showing the capabilities of SRAS:Scalability from large to small (titanium alloy) 84mm Resolution: 400μm ms-1 108μm
What’s new since last AFPAC? • 1. Instrumentation • A dedicated SRAS microscope • Smaller, much faster, cheaper, simpler • Will have ability to scan on “rough surfaces” next month! • Higher spatial resolution • 2. Determination of orientation from SAW velocities • cubic crystals (e.g. nickel, aluminium)
(1) 3rd generation SRAS instrument • New dedicated SRAS system funded by emda (East Midlands Development Agency). • Completion due April 2011. • Smaller, faster, more capable
Example images from new instrument (1) • Ti-6Al-4V • 170x80mm • 25x250μm pixel size • 2.2 megapixels • 48 minutes scan time • >750 points/sec
(2) From “contrast” to orientation measurement • The velocity depends on the crystallographic orientation • Ok to go from orientation to velocity (forward) • Trickier to invert this problem So… • Solve the forward problem v=f( orientation ) • Fit the data to the forward problem to find the orientation
Forward model: calculating SAW velocities from known orientation and known elastic constants Define propagation direction l1, l2 and velocities Define elastic constants, and multiply by rotation matrix l1, l2 = propagation direction = density V = phase velocity C = stiffness tensors jk = lillcijkl d mn = determinant of |jk-jkv2| 3 = eigenvectors of displacement substitute into |jk-jkv2| = 0 choose the 3 lower half plane roots of l3 and its 3 plot the curve of |d mn |= |cm3klk(n)ll(n) | vs. velocities choose the minima of |d mn | to determine velocities calculate the out of plane displacement of velocities
SAW velocity as a function of orientation: cubic crystal: Nickel
Propagation in multiple directions – single crystal Ni Fit analytic curves to data to get orientation
Getting the orientation… Analytically calculated velocity as a function of orientation + Measure velocity as a function of propagation direction on surface + Simple fitting algorithm = Orientation of the crystals
Orientation imaging on nickel • Supposedly “single crystal” nickel, actually consists of two large grains SAW velocity left-right
SRAS: Conclusions • SRAS is faster and fancier than ever before! • We got a nice new machine thanks to EMDA • It will have optically rough surface capability shortly • We can go from measurement to orientation Next: • More forward modelling • Slicker fitting • Strategies for speed vs information • Higher resolution
Acknowledgements Steve Sharples Wenqi Li Richard Smith RCNDE EMDA RR Aeroengines EPSRC University of Wales (Swansea) For more information or if you have an interesting sample, please email: steve.sharples@nottingham.ac.uk