CAJ | 학술논문

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。
채용유한원수치방법분석포화사토은정성시，수결합능구정학반영체변특성적탄소성본구모형래모의가능출현적정태액화현상。추도출상태상관사토본구모형적은식적분계산방법，지출계산과정중가능출현적량류수치착오，병급출상응적수치처리방법。이이계공위부작위액화판별준칙，분석병대비불배수조건하송사평면응변시건재쾌속가재화만속가재2충정황하정태액화현상여규률적불동。이정체이계공위부작위송사변파은정적판별조건，대해저인공퇴적송사변파진행은정성분석。산례분석결과표명，해판별조건구유일정적합이성차해수치계산방법시가고적。
When the finite element method is used to simulate the instability of saturated sand,an elastoplastic constitutive model which can accurately reflect the plastic volumetric response of the sand is needed. An implicit algorithm of integration for the state-dependent sand model is derived. Two types of numerical errors occurred during the calculation process;and an appropriate numerical treatment is presented. Loose sand specimens under plane strain and undrained conditions are analyzed. The numerical results demonstrate differences of the static liquefaction phenomenon between rapid and slow loading cases. Another numerical example concerning the man-made slope of loose sand on seabed is analyzed with the negative work of second-order as the criterion of instability. The numerical results demonstrate the rationality of the criterion and reliability of the numerical algorithm.