Finite Characteristic Ratio Constitutive Modelling for Geo-Materials

Abstract

The constitutive modeling relation of finite characteristic ratio theory (FCRT) for geomaterials is presented. The finite characteristic ratio L, the ratio of a material internal measurement which represents statistic mechanical properties of a geo-material to the material external measurement, is considered as a phenomenological variable concerned with irrecoverable process; furthermore, the FCRT constitutive model for dilatancy of sand is originally proposed, and the accurate determination method of the only four nonelastic material parameters in the model are presented based on the deformation feature of sand. The dilative shearing hardening response of sand is described correctly; especially, the relationship among the responses of sands with different particle size is initially formed upon the FCRT model. The comparing results between the FCRT model and tests shows the FCRT model can describes the different properties of sands which are of different grain sizes naturally and the depiction of the model is conformed well by the sand tests.