中文摘要：

姚仰平等提出的广义非线性强度理论，将各种摩擦材料的非线性强度理论统一起来，使统一后的非线性强度理论能够合理地反映各类摩擦材料的强度特性。在广义非线性强度理论体系中，形状参数α影响在π平面上破坏曲线形状的重要因素之一，因此，需要对形状参数进行如下研究：（1）将广义非线性理论应用于各类砂土中，根据其在兀平面上破坏曲线特性，在判断该破坏曲线凹凸的基础上，得到砂土形状参数谢临界值与破坏应力比参数Mf之间的关系；（2）通过对几个经典砂土真三轴试验结果的整理，验证广义非线性强度理论对砂土破坏特性的预测能力，并在此基础上建立该理论中形状参数研α破坏应力比参数Mf的线性关系。因此，在实际应用时，仅通过三轴压缩试验即可得到三维应力条件下的强度包线。

英文摘要：

The generalized nonlinear strength criterion unifies all kinds of the nonlinear strength criteria about the friction material, so that the criterion can represent the strength characteristic of these materials. The shape parameter α is one of the factor that affect the shape of the failure curve in the generalized nonlinear strength criterion, the research about the parameter α is done as follows： （1） The generalized nonlinear strength criterion is applied to the sand, and then, according to the character of the failure curve in the generalized nonlinear strength criterion in the π-plane, for judging the failure curve convex, the relation between the least of the parameter a and the failure stress ratio Mf was deduced. （2） By some test results about the sand, the proposed criterion for general stress state was applied to simulate test results; and it was shown that the criterion could reproduce the test data fittingly. And then the linear relation between the two parameters in the criterion was found. So the failure behavior of the sand could be reproduced by the use of triaxial compression condition for practical application.