A connection device includes a conducting element exhibiting a tubular portion and including a conducting sheath which is perforated with distributed perforations according to a predetermined solid-void pattern, the tubular portion and the sheath being configured in such a way that the sheath can be placed inside the tubular portion with the end section positioned inside the sheath and so that the tubular portion and the sheath can then be crimped onto the end section. The sheath includes at least one longitudinal wall separating two distinct housings each configured to accept one respective longitudinal portion of the end section of cable.