2 papers
cond-mat.mtrl-sci2025
On recovering intragranular strain fields from grain-averaged strains obtained by high-energy X-ray diffraction microscopy
C. K. Cocke, A. Akerson, S. F. Gorske +2
We address an unusual problem in the theory of elasticity motivated by the problem of reconstructing the strain field from partial information obtained using X-ray diffraction. Ref…
cond-mat.mtrl-sci2024
Learning constitutive relations from experiments: 1. PDE constrained optimization
Andrew Akerson, Aakila Rajan, Kaushik Bhattacharya
We propose a method to accurately and efficiently identify the constitutive behavior of complex materials through full-field observations. We formulate the problem of inferring con…