I2t

Current Squared times time. This is an electrical quantity that is used to determine energy to a protective device, such as a circuit breaker or fuse.
Found on http://www.youngco.com/young2.asp?ID=4&Type=3

I2t

the integral of the square of the current over a given time interval: NOTE 1 - The pre-arcing I2t is the I2t integral extended over the pre-arcing time of the fuse. NOTE 2 - The operating I2t is the I2t integral extended over the operating time of the fuse. ...
Found on http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=441-18-23
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