1. Laboratory of Analytical Geomechanics, Graduate School of Engineering, Hokkaido University, Kita 13, Nishi 8, Kita-ku, Sapporo, 060-8628, Japan.
2. Track Structures & Geotechnology, Track Technology Division, Railway Technical Research Institute, 2-8-38 Hikari-cho, Kokubunji-shi, Tokyo, 185-8540, Japan.