A task often encountered in very recent times is the rapid provision of prototypes. Particularly suitable processes are those based on pulverulent materials and in which the desired structures are produced layer-by-layer through selective melting and solidification. The invention provides the constitution, production and use of a copolyamide powder which was produced using the following monomer units: a) laurolactam or ω-aminoundecanoic acid, and also b) dodecanedioic acid, and either c) decanediamine or dodecanediamine, in shaping processes, and also to moldings produced through a layer-by-layer process which selectively melts regions of a powder layer, using this specific powder. Once the regions previously melted layer-by-layer have been cooled and solidified, the molding can be removed from the powder bed. The moldless layer-by-layer processes for the production of components using the copolyamide powder result in simplified and more reliable conduct of the process and better recyclability.