An additive manufacturing process for the manufacture of an object in an additive manufacturing apparatus, wherein the object is formed by one or several individual solid filamentous units. The additive manufacturing process comprises the steps of discharging a polymer composition in a molten state from a nozzle of a print head, thereby imparting an orienting flow on the polymer composition in a molten state being discharged from the nozzle of the print head and depositing said discharged polymer composition in a molten state along at least one predefined path and allowing the thus formed one or several filamentous units to solidify such as to form one or several solid filamentous units of the object to be manufactured. Optionally, the previous step may be repeated until the object is formed. The polymer composition comprises a thermotropic liquid crystal polymer as the polymer component of the polymer composition.