Strain softening and stiffness degradation induced by damage and permanent deformation caused by the plasticity were taken into account, and the evolution of damage and plastic variable were used to describe their mechanism. The plasticity and damage mechanics were incorporated into the thermodynamics, four types of energy potential functions and dissipation function, which considered coupling effect of plastic and damage have been developed. Along with flow rule of generalized plasticity, the evolution laws of internal variables were formed, given 32 possible ways of formulating constitutive behaviour. The incremental response entirely established by differentiation of the two potentials and by standard matrix manipulation. Finally, the constrained conditions introduced successfully through the Lagrangean penalty functions and strengthened the applications of developed thermodynamic framework.