A multistrand metal cord having two layers of J+K construction, which can notably be used for reinforcing tires for industrial vehicles, consisting of a core comprising J strands forming an inner layer, J varying from 1 to 4, around which core are wound, in a helix, with a helix pitch PK of between 20 and 70 mm. K outer strands forming an outer layer around said inner layer, each outer strand:
- comprising a cord having two layers of L+M construction, rubberized in situ, comprising an inner layer comprised of L wires of diameter d1, L varying from 1 to 4, and an outer layer of M wires, M being equal to or greater than 5, of diameter d2, which are wound together in a helix with a pitch p2 around the inner layer;
- and
- having the following characteristics (d1, d2 and p2 being expressed in mm):
- 0.10<d1<0.50;
- 0.10<d2<0.50;
- 6<p2<30;
- wherein the inner layer of the outer strand is sheathed with a rubber composition called a “filling rubber”;
- over any length of the outer strand equal to PK, the filling rubber is present in each of the capillaries delimited by the L wires of the inner layer and the M wires of the outer layer, and also, when L is equal to 3 or 4, in the central channel delimited by the L wires of the inner layer;
- and
- the amount of filling rubber in said outer strand is between 5 and 40 mg per g of strand.