A method for producing a three dimensional green article includes: (a) providing a slurry composition that contains an inorganic powder, a binder, and a solvent; (b) forming a slurry layer made of the slurry composition; (c) removing the solvent of the slurry layer from an upper surface of the slurry layer so as to form the slurry layer into a green layer with a plurality of pores; (d) scanning the green layer with an energy beam having a power sufficient to vaporize or burn the binder such that the vaporized binder or the burnt binder escapes from the green layer through the pores, while leaving the inorganic powder which is not bound by the binder; and (e) repeating steps (b) to (d).