Macro-modeling of Complex Structural Materials

The complexity of structural materials represents a research challenge in the materials field, particularly in the geotechnical area. This study provides the general definitions of structural states and establishes an all-state function model of complex structural materials. Furthermore, this study proposes a new theory and method for structural material analysis through the establishment of a structural concept. This study establishes partial differential equations and equation sets for the corresponding parameter forms of one-dimensional problems through the simplification of various factors. Then, the study derives the path equation and constitutive relation with unrestrained conditions, before also identifying the approximate analytical solutions of some problems in the context of several special circumstances. In comparison with accepted results obtained by other methods, the theoretical analysis solution shows good consistency and effectiveness. Therefore, it appears that the all-state function theory of complex structural materials possesses the versatility and the universality needed to solve structural problems. An important area for applying this theory is in analyzing the performance characteristics of geotechnical materials. Application of an all-state function theory can reveal increasing amounts of new regularities in structural materials.