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Adaptive wavelet-based approach for predicting the mechanical behavior of polycrystals

Gal Shmuel (CalTech), Kaushik Bhattacharya (California Institute of Technology)

Mechanics of Phase Transforming and Multifunctional Materials

Tue 2:40 - 4:00

CIT 219

In recent years, new developments in materials characterization techniques led to a huge amount of data on the microstructure of polycrystals. Simultaneously, improvements in the computational capabilities has enabled accurate full-field simulations for the micro mechanical fields developing in polycrystalline aggregates. These show that in elastic phenomena including plasticity and phase transformation, localized bands of deformation percolate in a complex way across various grains. This work is motivated by a desire to find an efficient representation for such fields. In particular, we focus on application of wavelet analysis. We present their main characteristics, and demonstrate the advantages of a new adaptive wavelet-based method.