On dimensionless numbers for dynamic plastic response of structural members

A dimensional analysis is reported for the dynamic plastic response and fai lure of structural members, which includes material strain hardening, strai n rate and temperature effects. Critical shear failure conditions are also discussed based on the dimensional analysis results. It is shown that the r esponse number R-n proposed in [3], is an important independent dimensionle ss number for the dynamic plastic bending and membrane response of structur al members. However, additional dimensionless numbers are necessary when tr ansverse shear, strain hardening, strain rate, and temperature effects are important.