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Published September 1, 2014 | public
Journal Article

Wavelet analysis of microscale strains


Recent improvements in experimental and computational techniques have led to a vast amount of data on the microstructure and deformation of polycrystals. These show that, in a number of phenomena, including phase transformation, localized bands of deformation percolate in a complex way across various grains. Often, this information is given as point-wise values arrayed in pixels, voxels and grids. The massive extent of data in this form renders identifying key features difficult and the cost of digital storage expensive. This work explores the efficiency of wavelets in storing, representing and analyzing such data on shape-memory polycrystals as a specific example. It is demonstrated how a compact wavelet representation captures the essential physics contained in experimental and simulated strains in superelastic media.

Additional Information

© 2014 Acta Materialia Inc. Published by Elsevier Ltd. Received 4 March 2014; received in revised form 5 May 2014; accepted 6 May 2014; Available online 10 June 2014. We gratefully acknowledge the support of the US Air Force Office of Scientific Research through the MURI grant "Managing the Mosaic of Microstructure" (FA9550-12-1-0458). We thank Samantha Daly for providing us the experimental data sets and A.W. Richards for many helpful discussions.

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