Abstract: Dynamic material model (DMM) and its processing map technology are a theoretical approach, by which materials hot working processes can be optimized with the aim of controlling the microstructures and properties of hot worked materials and improving quality and reliability of product. The theoretical basis and development of DMM and processing map technology are here reviewed, and the basis and principle of both irreversible thermodynamics and dissipative structure related to the criteria for the occurrence of flow stabilities and/or instabilities as well as the criteria’s deduction processes are introduced. The advantage and disadvantage, including available situations, of various stability and instability criteria based on DMM are theoretically compared and analyzed, and some issues, which should be noted in applying the criteria to realize controlling of microstructure and properties of hot worked materials, are pointed out. A few examples of applying DMM and map technology to resolve hot working problem in practice, in order to controll materials microstructures and properties, guarantee product quality, and improve productivity, are briefly presented.

Key words: Controlling of microstructures and properties of hot worked materials, Criteria of flow stabilities and/or instabilities, Dynamic material model, Irreversible thermodynamics Dissipative structure, Processing map