Strain rate is how fast the strain is happening with respect to time dE/dt. In a quasi static test like a tensile test the strain rate is of the order of .001 per sec. For a slow phenomenon like creep it is like .0000001 per sec. For dynamic events like crash it is of the order of 100–200 per sec. For very high speed events like blast and detonation it is of the order of 1000-10000 per sec. For hypervelocity impacts like a nuclear explosion or a meteor impact it may be of the order of 10E7 /sec. Many materials behave differently with the increase in strain rates like for some materials the yield stress might increase. If you are doing any detonation blast or impact scenario it is advisable to check material properties upto high strain rates.