An electro-hydraulic actuator for actuating a brake with a hydraulic thrust unit, the actuator comprising: - an electric motor with a drive shaft, - a converting mechanism connected with the drive shaft and adapted to convert a rotational motion of the drive shaft into a translational motion of a translatable portion, - a cylinder and a piston received in the cylinder and constrained to the translatable portion so as to translate together with respect to the cylinder along a piston stroke extending from a rear end of stroke to a front end of stroke, wherein the piston stroke comprises: - a front length including the front end of stroke and having a length less than or equal to half the length of the piston stroke, and - a rear length including the rear end of stroke and having a length less than or equal to half the length of the piston stroke, - a pressure chamber defined by the cylinder and the piston and having a volume that varies as a function of the piston position, from a maximum volume when the piston is at the rear end of stroke position to a minimum volume when the piston is at the front end of stroke position, - a supply duct in communication with said pressure chamber and adapted to be connected with the hydraulic thrust unit of the brake, wherein the converting mechanism is configured so that, for a given angular speed of the drive shaft, the translation speed of the piston decreases from a maximum value in a position of the piston in the rear length to a minimum value in a position of the piston in the front length, wherein the converting mechanism comprises a crank and connecting rod mechanism having: - a crank rotatable around a crank axis transversal to a translation axis of the piston, and - a connecting rod having a first end hinged to the crank in an eccentric point relative to the crank axis and a second end forming the translatable portion and permanently engaging a rear portion of the piston, wherein the crank axis is arranged at a perpendicular distance from the translation axis of the piston, characterized in that - said perpendicular distance is less than the radius of the crank defined as the distance between the crank axis and the hinge axis of the first end of the connecting rod, and - said perpendicular distance ranges from 0.4L to 0.6L, where L is the length of the connecting rod. - an electric motor with a drive shaft, - a converting mechanism connected with the drive shaft and adapted to convert a rotational motion of the drive shaft into a translational motion of a translatable portion, - a cylinder and a piston received in the cylinder and constrained to the translatable portion so as to translate together with respect to the cylinder along a piston stroke extending from a rear end of stroke to a front end of stroke, wherein the piston stroke comprises: - a front length including the front end of stroke and having a length less than or equal to half the length of the piston stroke, and - a rear length including the rear end of stroke and having a length less than or equal to half the length of the piston stroke, - a pressure chamber defined by the cylinder and the piston and having a volume that varies as a function of the piston position, from a maximum volume when the piston is at the rear end of stroke position to a minimum volume when the piston is at the front end of stroke position, - a supply duct in communication with said pressure chamber and adapted to be connected with the hydraulic thrust unit of the brake, wherein the converting mechanism is configured so that, for a given angular speed of the drive shaft, the translation speed of the piston decreases from a maximum value in a position of the piston in the rear length to a minimum value in a position of the piston in the front length, - a crank rotatable around a crank axis transversal to a translation axis of the piston, and - a connecting rod having a first end hinged to the crank in an eccentric point relative to the crank axis and a second end forming the translatable portion and permanently engaging a rear portion of the piston, - said perpendicular distance is less than the radius of the crank defined as the distance between the crank axis and the hinge axis of the first end of the connecting rod, and - said perpendicular distance ranges from 0.4L to 0.6L, where L is the length of the connecting rod.