A proposal of a method to analyze 3D deformation / fracture characteristics inside materials based on a stratified matching approach

In the past, deformation / fracture (D/F) characteristics, defined as load-deformation relationships until the materials are fractured, have been analyzed and evaluated on the surface from milli- to micro-scale. The D/F characteristics are affected by more than ten thousand micro-scale internal structures like air bubbles (pores), impurity particles and cracks in 1 mm³; therefore, it is required to analyze nano-scale D/F characteristics inside materials. In this paper, we propose an analysis method by obtaining displacement vectors of impurity particles from nano-order 3D-CT images. A problem of matching over ten thousand impurity particles between deformation is solved by a stratified matching.