Abstract: The suppressor uses an elastic outer housing or sleeve that temporarily expands and contracts under the pressure impulse of the propellant gases to help reduce the sound signature of the report. During discharge, the elastic housing or sleeve expands beyond its relaxed normal shape, but quickly contracts and returns to its original shape and dimension. The expansion of the elastic housings and sleeves temporarily increases the internal volume of the suppressor providing a mechanical control of the internal pressure reduction and sound attenuation without the need for increased suppressor dimensions.