Materials exhibit different characteristics in different levels. Apparent behavior and properties of the material are based on actual measurements and they were studied by the traditional theorems and theories. The article studied a new method for material analysis--analysis of mechanics of disturbed materials based on theory of duality disturbance. For material in the any deformed state,a given material element can be treated as mixed state included RND( RND: Relatively Non-Disturbed) and RCD (RCD: Relatively Complete Disturbed). "Duality" state is made of references state of RND and RCD.[1-3] The apparent behavior of disturbing engineering materials use appropriate perturbation function to describe which connect with "duality".