General thermal-elastic plastic constitutive equations for any anisotropic materials are discussed theoretically. First, the general anisotropic thermal-elastic constitutive equations are obtained, and a plastic potential, which is a function of stress and entropy, is assumed. Then from the concept of von Mises and from the assumption of the perfect plasticity, the general thermal-elastic-plastic constitutive equations are derived. The special case of quadratic form of the plastic potential with respect to the stress and entropy is analysed. The _??_-representation is also discussed, where the constitutive equations are expressed in terms of six or seven dimensional vectors in _??_6 or _??_7.
