A cold-rolled and annealed steel sheet is provided, the chemical composition of which comprises, the contents being expressed by weight percent: 0.10≤C≤0.13% 2.4≤Mn≤2.8% 0.30≤Si≤0.55% 0.30≤Cr≤0.56% 0.020≤Ti≤0.050% 0.0020≤B≤0.0040% 0.005≤Al≤0.050% Mo≤0.010% Nb≤0.040% 0.002≤N≤0.008% S≤0.005% P≤0.020%, the remainder consisting of iron and unavoidable impurities resulting from the smelting, the steel sheet having a microstructure consisting of, in surface proportion, martensite and/or lower bainite, said martensite comprising fresh martensite and/or self-tempered martensite, the sum of the surface proportions of martensite and lower bainite being comprised between 60 to 95%, 4 to 35% of low carbide containing bainite, 0 to 5% of ferrite, and less than 5% of retained austenite in island form.