Cutting insert with internal cooling, mold and method for manufacture thereof

A cutting insert, comprising:

• an insert body manufactured in a press mold and having a front face, an opposite rear face, and side faces extending therebetween;
• a rake surface constituted by a portion of the front face;
• a relief surface constituted by a portion of one of the side faces;
• a cutting edge defined at an intersection of the rake surface and relief surfaces;
• a cooling cavity formed within said insert body, defined by a cavity surface delimited by side walls and a slope, tapering away from the cutting edge and having a curved front surface portion disposed closer to the front face of the insert than to the rear face of the insert;
• the cavity extending from said curved front surface portion towards the rear face of the cutting insert along the slope;
• and
• at least one shell-like cutting zone defined by an external surface and an internal surface, the external surface being constituted by the cutting edge and the corresponding rake and relief surfaces, the internal surface being at least partially defined by said curved front surface portion and the slope of the cavity surface so as to allow cooling of the at least one shell-like cutting zone by fluid directed thereto along the slope of the cavity surface towards said curved front surface portion.