A brief summary of simulation techniques for recrystallization is given. The limitations of the Potts model and the cellular automaton model as used in their standard forms for grain growth and recrystallization are noted. A new approach based on a hybrid of the Potts model (MC) and the cellular automaton (CA) model is proposed in order to obtain the desired limiting behavior for both curvature-driven and stored energy-driven grain boundary migration.

As is well known, a grain boundary (GB) is defined by five macroscopic parameters. We propose a method that is useful for representing the GB properties of polycrystalline materials as a function of these five parameters. The properties might include distribution, energy, mobility, segregation and wetting conditions. This method is based on the interface-plane scheme , proposed by Wolf and Lutsko. where a GB is characterized by two interface-plane normals and a twist angle (n(1),n(2),phi). Considering the equivalent GB descriptions in cubic materials, the interface-plane scheme space (n(1),n(2),phi) is reduced to a unit triangle (100-110-111) for n(1), a double unit triangle (100-110-111 and 100-101-111) for n(2) and 0 less than or equal to phi < 2 pi. All equivalent GBs whose two GB normals are within a given tolerance angle from reference planes are plotted as a function of the twist angle phi. This representation method is applied to the GB distributions of an Fe-Mn-Cu polycrystalline alloy. As a result, significantly high frequencies of the GB distribution were observed at (111)(111), Sigma = 3, and small-angle boundaries.

As is well known, a grain boundary (GB) is defined by five macroscopic parameters. We propose a method that is useful for representing the GB properties of polycrystalline materials as a function of these five parameters. The properties might include distribution, energy, mobility, segregation and wetting conditions. This method is based on the interface-plane scheme , proposed by Wolf and Lutsko. where a GB is characterized by two interface-plane normals and a twist angle (n(1),n(2),phi). Considering the equivalent GB descriptions in cubic materials, the interface-plane scheme space (n(1),n(2),phi) is reduced to a unit triangle (100-110-111) for n(1), a double unit triangle (100-110-111 and 100-101-111) for n(2) and 0 less than or equal to phi < 2 pi. All equivalent GBs whose two GB normals are within a given tolerance angle from reference planes are plotted as a function of the twist angle phi. This representation method is applied to the GB distributions of an Fe-Mn-Cu polycrystalline alloy. As a result, significantly high frequencies of the GB distribution were observed at (111)(111), Sigma = 3, and small-angle boundaries.