The method includes the step of positioning the sheets in an at least partially overlapping relationship. The method continues with the step of inserting a rivet that has a height through an overlapping area of the sheets. The method proceeds with the step of, with the rivet at a temperature in the range of 15-30° Celsius, collapsing the rivet between a pair of ramming surfaces to shorten the rivet and partially expand the rivet outwardly to lock the rivet with the sheets. The entire method results in a very strong connection between the sheets and with a great durability at a low cost.