Abstract: Taking the theory of mixture as a basic.framework, the paper merges the primesof rational mechanics irreivrsible thermodynamics and soil meehanics into an organicsystem and proposes an axiomatics of geomechanics.The theoretical system consists of 5 basis laws and 8 constitutive principles.and it erects a bridge across the gap between the pure theory of mechanics and engineering practice.

Key words: normal form, ordinary differential equation, focal value, Mathematica, geomechanics, axiomatics, basic law, constitutive principle