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采用有限元数值方法分析饱和砂土稳定性时,需结合能够正确反映体变特性的弹塑性本构模型来模拟可能出现的静态液化现象。推导出状态相关砂土本构模型的隐式积分计算方法,指出计算过程中可能出现的两类数值错误,并给出相应的数值处理方法。以二阶功为负作为液化判别准则,分析并对比不排水条件下松砂平面应变试件在快速加载和慢速加载2种情况下静态液化现象与规律的不同。以整体二阶功为负作为松砂边坡稳定的判别条件,对海底人工堆积松砂边坡进行稳定性分析。算例分析结果表明,该判别条件具有一定的合理性且该数值计算方法是可靠的。
When using finite element method to analyze the stability of saturated sands, we need to simulate the possible phenomenon of static liquefaction in combination with the elasto-plastic constitutive model, which can correctly reflect the body deformation characteristics. The implicit integral calculation method for the sand constitutive model of state is deduced. Two types of numerical errors that may appear in the calculation process are pointed out and corresponding numerical methods are given. The criterion of second liquefaction is taken as the liquefaction criterion to analyze and compare the static liquefaction phenomenon and the regularity of the loose sand flat strain specimen under the condition of rapid loading and slow loading under undrained conditions. Taking the second order work as negative as the criterion for the stability of loose sand slope, the stability analysis of loosely packed slope on artificial sea floor is carried out. The results of the example analysis show that the discriminant conditions are reasonable and the numerical method is reliable.