Study of constitutive relationship model of material structure based on full state function

摘要

The structural problem is the key and difficult point for the study of material composed of granules. In this paper, theory of full state function for material structure is put forward by examining the structural morphology of the material. The full state function of material structure reflects the structural properties of material. Thus it can also reflect the variations in of mechanical and geometric properties of material under external force, i.e. the constitutive relationship of material. The constitutive relationship established based on full state function is abbreviated as "full constitutive relationship", which considers the structural properties of material. The constitutive relationship not only can derive constitutive relationship which considers material structure, but also the constitutive relationship with the identical form as that in classical theory when material degenerates into typical ideal elastic-plastic material. The theoretical method proposed in this paper transforms dynamic analysis of structural evolution into state analysis. By associating granular scale with macroscopic scale, a foundation is laid for solving of the structural problems of material macroscopically.