基于广义位势理论的弹塑性模型的修正方法

广义位势理论为岩土材料的本构关系研究指出了更开阔的数学背景。基于广义位势理论可以构造出基于应力空间的模型，也可构造出基于应变空间的模型，利用两者之间的对称关系，把常规基于应力空间的模型直接转换到应变空间中，对本构模型自身无需做任何改动。基于广义位势理论也可以对已有的本构模型进行修正，比如，可基于广义位势理论对剑桥模型进行修正，这种修正可使模型利用三轴试验的部分成果，比单纯使用压缩试验的成果要好一些。另外，也初步探讨了模型的三维化问题。

Modification of elastoplastic models based on generalized potential theory

Generalized potential theory opens a broader mathematical background for constitutive models of geomaterial. Based on the generalized potential theory, constitutive models on strain space can be constructed as well as on stress space. By using the dual relationship it is convenient to transform the classical constitutive model, such as modified Cambridge model and Tsinghua model, etc., from stress space to strain space without changing the model itself. Furthermore, current constitutive model can also be amended to meet the test results based on the generalized potential theory. For example, Modified Cambridge model is amended to take account of triaxial test results, which is thought to be more reasonable than just utilizing compression test. In addition, the issue of extending constitutive models from 2D space to 3D space is also discussed. Since the extension involves too many variables, it is thought that the transformed stress method is more applicable.