Disclosed is a device for exsanguinating a portion of an extremity. The device comprises an elastic torus configured to ensanguine a limb when surrounding an extremity and pulled at a first linear rate in a first direction and at least one elongate attachment element mechanically coupled to the torus to convey pulling force from the handle to the torus, wherein the a length of the elongate attachment element between the handle and the torus elongates at a different rate than the first rate, during the pulling.