A Research on the Full State Function Constitutive Relation Model

Abstract

For materials of granular characteristics, structural problem is one key and difficult point of the present study. In the paper, the full state function theory for material structure is proposed based on investigation on the state of material structure as the starting point. The full state function of material structure is a function reflecting the material structure properties, so it also can reflect the variation rules of material mechanics and geometric characteristics when materials are affected by external effect, which is the constitutive relation of materials. The constitutive relation set up based on the full state function is shortened as full constitutive relation, because for constitutive relation the structural characteristics of materials are taken into consideration. Besides the constitutive relation that takes material structure into account that can be deduced on the basis of the full state function theory, the constitutive relation of which the form is identical to that of classical theory can also be deduced when materials deteriorate as classical ideal elastic-plastic materials. The proposed theoretical method enables the change of dynamic process analysis of structural change into state analysis and the establishment of bridge and method to analyze the relationship between particle structure scale and macro scale. In addition, it also lays a foundation for the solution of material structural problems macroscopically.