JOURNAL OF YANGTZE RIVER SCIENTIFIC RESEARCH INSTI ›› 2020, Vol. 37 ›› Issue (6): 108-114.DOI: 10.11988/ckyyb.20190099

• ROCK-SOIL ENGINEERING • Previous Articles     Next Articles

Upper Bound Method for Reinforced Soil Slopes under Nonlinear Mohr-Coulomb Yield Condition

ZHANG Wei-peng1,2, LI Dong-dong2, ZENG Guang-hui2, ZHANG Shi-hu2, CUI Meng-xuan3   

  1. 1. Changjiang Institute of Survey, Planning, Design and Research, Co. , Ltd. , Wuhan 430010, China;
    2. Changjiang Geotechnical Engineering Corporation (Wuhan), Wuhan 430010, China;
    3. Central and Southern China Municipal Engineering Design & Research Institute Co. , Ltd. , Wuhan 430010, China
  • Received:2019-01-24 Online:2020-06-01 Published:2020-06-21

Abstract: A large number of engineering practices have proved that the yield conditions of geotechnical materials are nonlinear. Such nonlinearity is more evident in areas of high geostress. However, at present, nonlinear studies on the stability of reinforced soil slope are inadequate. In this paper we research the slope stability under nonlinear Mohr-Coulomb yield condition via upper bound limit analysis. By introducing new strength parameters ct and φt, we obtain the calculation formulae of stability coefficient Ns of non-reinforced soil, safety coefficient F, ultimate height H1 of non-reinforced soil, and ultimate height H2 of reinforced soil slope with logarithmic helix as fracture surface. Good results are obtained in a computation example using MatLab. Moreover, the influences of nonlinear parameter m on shear strength index parameters ct and φt are summarized. With the increase of m, φt decreases gradually while ct increases at first and then decreases. In addition, the limit slope height H reduces when slope angle β increases with other conditions unchanged.

Key words: reinforced soil, slope stability, upper bound limit analysis method, nonlinear failure criterion, mathematical programming method, theory of plasticity

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