A machining method comprises selecting a finished surface dimension and a material property for a working surface, defining a working temperature range based on the selected material property, and defining a machining power based on the working temperature range. The machining power depends on a removal rate and a specific heat of the working surface. The working surface is machined at the removal rate to achieve the finished surface dimension, and the machine power is controlled to maintain the working surface within the working temperature range. The working surface is heated or cooled from the working temperature range to a transition temperature range, such that the selected material property is preserved in the working surface.