基于广义位势理论的类剑桥模型

广义位势理论直接从数学原理出发建立本构模型，避开了传统塑性理论中塑性势函数等复杂概念，为研究岩土本构模型提供了新的思路。基于广义位势理论中土的应力空间多重势面模型，对剑桥模型“能量方程假设”的数学原理进行分析，从数学角度上建立了一个改进的剑桥模型（即类剑桥模型），而修正剑桥模型等可作为其特例。利用不同应力路径下的试验数据对其合理性进行验证，并与剑桥模型进行对比分析。结果表明：类剑桥模型的参数确定方便、自由，计算结果与试验较一致，甚至优于修正剑桥模型；类剑桥模型所采用的数学原理更明确，且避免了确定塑性势函数和能量方程的困难及其所带来的误差，是一个具有较好实用价值的模型。

Similar Cam-clay model based on generalized potential theory

The constitutive model based on the generalized potential theory is established directly by mathematical methods, and the complicated concepts such as plastic potential functions in traditional plasticity theory are avoided, which gives a new approach to study the soil constitutive model. Through the multi-potential surface model in stress space of the generalized potential theory, mathematical principle of the energy equation hypothesis in the Cam-clay model is analyzed and a similar Cam-clay model is established by mathematical methods, in which the modified Cam-clay model etc. can be regarded as its special cases. Rationality of the proposed model is verified through experimental data under the condition of different stress paths; and it is also compared with the Cam-clay model. The results show that parameters of the proposed model can be determined conveniently and freely; and the calculated results agree with experimental ones, which even better than those calculated by the modified Cam-clay model. Mathematical principle of the proposed model is more clear and the difficulties and errors which are brought by the determination of plastic potential functions and energy equation are avoided; it is proved that the proposed model has better practical value.