CAJ | 학술논문

利用上限定理，对纯黏性长大边坡的三维稳定性进行了研究。以边坡外某点为圆心，构建了球形破坏机构。利用三重积分，计算了该破坏机构下边坡的外力功率与内部能量耗散。基于功能相等定理，得到了边的三维稳定系数表达式。结合强度折减法，进一步研究了边坡的三维安全系数。通过与已有结果的对比，证明了该方法的正确性。分析了安全系数的变化规律，结果表明随着边坡宽度的增大，三维安全系数逐渐减小。为分析普通黏土边坡的三维稳定性奠定了基础。
이용상한정리，대순점성장대변파적삼유은정성진행료연구。이변파외모점위원심，구건료구형파배궤구。이용삼중적분，계산료해파배궤구하변파적외력공솔여내부능량모산。기우공능상등정리，득도료변적삼유은정계수표체식。결합강도절감법，진일보연구료변파적삼유안전계수。통과여이유결과적대비，증명료해방법적정학성。분석료안전계수적변화규률，결과표명수착변파관도적증대，삼유안전계수축점감소。위분석보통점토변파적삼유은정성전정료기출。
Based on upper bound theorem,the three-dimension (3D)stability for purely cohesion slope was analyzed.Using some certain point above the slope surface as the circle center,the spherical failure mechanism was constructed.Appling the triple integral,the external work rate and internal energy dissipation was calculated.Based on the equality of work rate and energy,the expression for 3D stability can be obtained.Combining the strength reducing method,the 3D safety factor was studied further.By the comparison with the previous achievement,the correctness has been proved.The results show that the 3D safety factor reduced with the slope width.The presented study is the fundament for the cohesion-fric-tion soil slope.