Abstract: In line with the mathematical principle, the generalized potential theory transforms the stress-strain relationship in the main space into stress-strain relationship in six-dimensional stress-strain space, thus establishing the constitutive model of rock and soil materials which has clear mathematical basis and fewer physical assumptions. However, few researches have been conducted to apply the constitutive model of generalized potential theory to large-scale numerical analysis software, let alone the numerical calculation and verification in the six-dimensional stress-strain space. In view of this, the multiple potential surface model and the double potential surface model of the generalized potential theory are introduced, and the elasto-plastic matrices of the two models used in numerical calculation are analyzed in detail. Two double potential surface models (the Similar Cam-clay model without dilatancy and the Similar Cam-clay model with dilatancy) are taken as examples to develop the model in numerical analysis software FLAC3D. The developed constitutive models are calculated and analyzed in the six-dimensional stress-strain space of FLAC3D. Comparison of the results of numerical calculation with the results of laboratory triaxial tests reveals high computational accuracy of the constitutive model of generalized potential theory in the six-dimensional stress-strain space, thus verifying the scientific nature of the theoretical model and the correctness of the development software.

Key words: generalized potential theory, constitutive model, model development, Similar Cam-clay model, six-dimensional stress-strain space