Study on the Full State Function of Structural Parameters for Materials

Abstract

The structural problem of materials, belonging to the field of material mechanics, is one of the most challenging problems for geotechnical materials. The theory of full state function for materials is a feasible method to describe the structural property of materials. Based on the analysis of structural parameters and its number in the geometric - mechanical material model, the concept of full state function for materials was introduced in this study. The full state function of structural parameters for the materials was obtained. It was found that, in the specific material analysis model, the number of the structural parameters of materials was known. The physical meaning of the corresponding material parameters was essentially the reflection of the degree of mutual influence among the directions of the structure of the material. The number of independent structural parameters represented the number of combinations which could produce influence independently among the direction of structured materials. The magnitude of the structural parameter reflected the degree of mutual influence among the structured directions. It could also be thought that the inconsistency of geometric - mechanical properties along the direction of the structured materials was reflected by the number of structural parameters, while the inconsistency degree was reflected by the magnitude of the structural parameters.