1. Ph.D. Candidate, School of Civil Engineering, Harbin Institute of Technology, Heilongjiang, Harbin 150090, China.
2. Assistant Professor, Dept. of Civil and Environmental Engineering, Nagaoka Univ. of Technology, Nagaoka, Niigata 940-2188, Japan (corresponding author).
3. Professor, Dept. of Civil and Environmental Engineering, Nagaoka Univ. of Technology, Nagaoka, Niigata 940-2188, Japan. ORCID: .
4. Chief Engineer, Third Engineering Company Limited of the First Highway Engineering Bureau of China Communications Construction Company, Beijing 100000, China.