A composition for a thermoplastic composite or composition of thermoplastic composite material, said composite material comprising strengthening fibers or fibrous strengthener and a thermoplastic matrix impregnating said fibers (or said fibrous strengthener), a matrix based on at least one thermoplastic polymer, said composition being characterized in that said matrix thermoplastic polymer is a semi-crystalline polyamide polymer comprising amide units Z, 10T and 6T; - said composition comprising, in addition to said strengthening fibers: a) a reactive composition comprising or consisting of at least one reactive polyamide prepolymer (or oligomer, with oligomer and prepolymer meaning the same in what follows), said composition being a precursor composition of said polyamide polymer of said matrix, or in alternative to a) b) a non-reactive composition of at least one polyamide polymer, including the polymer from the reactive composition a), said composition being that of said thermoplastic matrix, and where: - said composition a) or b) comprising or consisting of one or more polyamides, including statistical or sequenced copolyamides that are prepolymers (or oligomers) according to a) or that are polymers according to b) and which comprise amide units Z, 10T and 6T, selected as follows: - Z corresponding to an amide unit resulting: ∘ from the condensation of at least one lactam or of at least one C 6 -C 14 amino acid, ∘ from the condensation of a diamine and a diacid X.Y, X and Y being C 4 -C18, particularly C 10 -C 12, the molar content of Z being: 0.0 <Z ≤ 30.0%, - 10T being an amide motif in the majority, resulting from the condensation of a C 10 diamine, particularly decanediamine, and terephthalic acid, present at a molar content ranging from 40.0 to 95.0%, - 6T being an amide unit resulting from the condensation of a C6 diamine, particularly hexanediamine, and terephthalic acid, present at a molar content ranging from 5.0 to 60.0%, and under the condition that the sum of molar contents Z + 10T + 6T is equal to 100%, said composition having a deflection temperature under load (HDT A) below 260°C, particularly from 210°C to less than 240°C and a melting temperature Tm less than or equal to 270°C, in particular less than or equal to 265°C, particularly less than or equal to 260°C. - said composition comprising, in addition to said strengthening fibers: a) a reactive composition comprising or consisting of at least one reactive polyamide prepolymer (or oligomer, with oligomer and prepolymer meaning the same in what follows), said composition being a precursor composition of said polyamide polymer of said matrix, or in alternative to a) b) a non-reactive composition of at least one polyamide polymer, including the polymer from the reactive composition a), said composition being that of said thermoplastic matrix, a) a reactive composition comprising or consisting of at least one reactive polyamide prepolymer (or oligomer, with oligomer and prepolymer meaning the same in what follows), said composition being a precursor composition of said polyamide polymer of said matrix, or in alternative to a) b) a non-reactive composition of at least one polyamide polymer, including the polymer from the reactive composition a), said composition being that of said thermoplastic matrix, - said composition a) or b) comprising or consisting of one or more polyamides, including statistical or sequenced copolyamides that are prepolymers (or oligomers) according to a) or that are polymers according to b) and which comprise amide units Z, 10T and 6T, selected as follows: - Z corresponding to an amide unit resulting: ∘ from the condensation of at least one lactam or of at least one C 6 -C 14 amino acid, ∘ from the condensation of a diamine and a diacid X.Y, X and Y being C 4 -C18, particularly C 10 -C 12, the molar content of Z being: 0.0 <Z ≤ 30.0%, ∘ from the condensation of at least one lactam or of at least one C 6 -C 14 amino acid, ∘ from the condensation of a diamine and a diacid X.Y, X and Y being C 4 -C18, particularly C 10 -C 12, the molar content of Z being: 0.0 <Z ≤ 30.0%, - 10T being an amide motif in the majority, resulting from the condensation of a C 10 diamine, particularly decanediamine, and terephthalic acid, present at a molar content ranging from 40.0 to 95.0%, - 6T being an amide unit resulting from the condensation of a C6 diamine, particularly hexanediamine, and terephthalic acid, present at a molar content ranging from 5.0 to 60.0%,