The invention concerns a method for producing three-dimensional objects (6) layer by layer using a powdery material (7) which can be solidified by irradiating it with a high-energy beam (4), said method comprising the steps of: applying a first layer of powdery material onto a working area (5); solidifying a part of said first layer by irradiating it with a high-energy beam; and applying a second layer (8) of powdery material onto the first, partly solidified layer. The invention is characterized in that the method comprises the step of: determining a rate at which the temperature of the second layer (8) increases after application onto the first layer. The invention also concerns an apparatus configured to operate according to the above method.