Slope stability has been the research focus in the field of geotechnical engineering. Both the asynchronous decay speeds and distinct stability contributions of cohesion c and friction φ during slope instability have been evidenced. In this study, based on linear softening model and weighted average hypothesis, a modified double-reduction method is established. The research includes: 1) the asynchronism between decay speeds of c and φ are described by adopting different slopes in linear softening model for c and tanφ, in which case the respective reduction factors in strength reduction method F_c and F_φ are solved. 2) The distinct slope stability contributions of c and φ is readily linked with the different influences to safety factor, and therefore, introducing the equivalent influence angle θ_e (defined as the slope angle at which c and φ share identical contributions to stability), as well as its determination method. 3) According to weighted average hypothesis that the overall safety factor F_s is the weighted average of F_c and F_φ, the contribution scaling factor μ (defined as the weighted ratio of F_c and F_φ is proposed, which promotes the solution of respective weighted coefficients w_c and w_φ of two reduction factors by combining θ_e, achieving a new double-reduction method. 4) The validity of this method is verified via comprehensive comparison with existing double-reduction methods of practical slope examples.

边坡稳定性一直是岩土工程领域的研究重点。在边坡失稳过程中，异步衰减速度以及内聚力c和摩擦力φ的明显稳定性贡献都得到了证明。在这项研究中，基于线性软化模型和加权平均假设，建立了一种改进的双折减法。该研究包括：1）C的衰变速度之间的异步和φ通过采用在为c和黄褐色线性软化模型不同的斜率描述φ，在这种情况下，在强度降低方法中的各缩减因子˚F _Ç和˚F _φ都解决了。2）c和φ的明显的边坡稳定性贡献易于与不同的影响到安全系数联，并且因此，将所述等效影响角度θ _È（定义为斜坡角度处Ç和φ稳定共享相同的贡献），以及其测定方法。3）根据加权平均的假设，即整体的安全系数˚F_小号是加权平均˚F _Ç和˚F _φ，贡献比例因子μ（定义为的加权比率˚F _Ç和˚F _φ提出，其促进的溶液各自的加权系数瓦特_Ç和瓦特_φ通过组合两个减少因子θ _Ë，实现了新的双-还原法。4）通过与实际边坡实例的现有双折减法进行全面比较，验证了该方法的有效性。