Two-component polyurethane-based adhesive composition comprising an -NCO component and an -OH component, such that: - the -NCO component is a composition A comprising polyurethane prepolymers A1 comprising at least two -NCO end groups, A1 being obtained by polyaddition reaction between: - a composition A1.C1 of diphenylmethane diisocyanate comprising at least 35% by weight of the 4,4' isomer, said percentage being expressed on the basis of the total weight of said composition, and - a composition A1.C2 of polyols comprising a polyether diol PE A 1 with a molar mass Mn of between 800 and 1200 g/mol and a polyether triol PE A 2 with a molar mass Mn of between 350 and 550 g/mol, in an amount corresponding to a PE A 2 / (PE A 1 + PE A 2) weight/weight ratio of between 15 and 30%, - the amounts of A1.C1 and A1.C2 used being such that the -NCO/-OH molar equivalent ratio is between 2.5 and 6.5; - the -OH component is a composition B comprising polyurethane prepolymers B1 comprising at least two -OH end groups, B1 being obtained by polyaddition reaction between: - a composition B1.C1 of diphenylmethane diisocyanate comprising at least 35% by weight of the 4,4' isomer, said percentage being expressed on the basis of the total weight of said composition, and - a composition B1.C2 of polyols with a functionality of 2 comprising, on the basis of the total weight of said composition: - from 38 to 42% by weight of a composition B1.C2.D comprising an aliphatic polyester diol PES B 1 with a molar mass Mn of between 800 and 1200 g/mol and a partially aromatic polyester diol PES B 2 with a molar mass Mn of between 1000 and 1400 g/mol, in an amount corresponding to a PES B 1 /PES B 2 weight/weight ratio of between 0.35 and 0.45; and - from 58 to 62% by weight of an aliphatic polyether diol PE B with a molar mass Mn of between 350 and 550 g/mol; - the amounts of B1C1 and B1C2 used being such that the -NCO/-OH molar equivalent ratio is between 0.05 and 0.50; - it also being specified that the amounts of the -NCO and -OH components of said two-component adhesive composition are such that the -NCO/-OH molar equivalent ratio is within a range extending from 1.5 to 1.7. - the -NCO component is a composition A comprising polyurethane prepolymers A1 comprising at least two -NCO end groups, A1 being obtained by polyaddition reaction between: - a composition A1.C1 of diphenylmethane diisocyanate comprising at least 35% by weight of the 4,4' isomer, said percentage being expressed on the basis of the total weight of said composition, and - a composition A1.C2 of polyols comprising a polyether diol PE A 1 with a molar mass Mn of between 800 and 1200 g/mol and a polyether triol PE A 2 with a molar mass Mn of between 350 and 550 g/mol, in an amount corresponding to a PE A 2 / (PE A 1 + PE A 2) weight/weight ratio of between 15 and 30%, - the amounts of A1.C1 and A1.C2 used being such that the -NCO/-OH molar equivalent ratio is between 2.5 and 6.5; - the -OH component is a composition B comprising polyurethane prepolymers B1 comprising at least two -OH end groups, B1 being obtained by polyaddition reaction between: - a composition B1.C1 of diphenylmethane diisocyanate comprising at least 35% by weight of the 4,4' isomer, said percentage being expressed on the basis of the total weight of said composition, and - a composition B1.C2 of polyols with a functionality of 2 comprising, on the basis of the total weight of said composition: - from 38 to 42% by weight of a composition B1.C2.D comprising an aliphatic polyester diol PES B 1 with a molar mass Mn of between 800 and 1200 g/mol and a partially aromatic polyester diol PES B 2 with a molar mass Mn of between 1000 and 1400 g/mol, in an amount corresponding to a PES B 1 /PES B 2 weight/weight ratio of between 0.35 and 0.45; and - from 58 to 62% by weight of an aliphatic polyether diol PE B with a molar mass Mn of between 350 and 550 g/mol; - from 38 to 42% by weight of a composition B1.C2.D comprising an aliphatic polyester diol PES B 1 with a molar mass Mn of between 800 and 1200 g/mol and a partially aromatic polyester diol PES B 2 with a molar mass Mn of between 1000 and 1400 g/mol, in an amount corresponding to a PES B 1 /PES B 2 weight/weight ratio of between 0.35 and 0.45; and - from 58 to 62% by weight of an aliphatic polyether diol PE B with a molar mass Mn of between 350 and 550 g/mol; - the amounts of B1C1 and B1C2 used being such that the -NCO/-OH molar equivalent ratio is between 0.05 and 0.50; - it also being specified that the amounts of the -NCO and -OH components of said two-component adhesive composition are such that the -NCO/-OH molar equivalent ratio is within a range extending from 1.5 to 1.7.