斜坡演化的燕尾突变模型研究 English Version
Coattail catastrophe model of sliding instability
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摘要: 对一个平面滑动型斜坡,考虑滑面介质有两种不同力学性质的材料组成,一种为弹脆性或应变硬化介质,另一种为应变软化介质。建立了斜坡系统的燕尾突变模型。通过模型分析,发现斜坡滑动失稳主要取决于软弱面上复杂弹脆性介质和应变软化介质的刚度比k与几何–力学参数ξ;通过对控制参数p,q和r的分析,揭示了斜坡演化的系统性和复杂性。当p为定值时,在q和r的控制平面内,存在不同的稳定区和失稳区。Abstract: A coattail catastrophe model of landslides was presented,and the necessary and sufficient conditions leading to landslides were discussed.The sliding surface of the landslides was assumed to be planar and the combination of two media: medium 1 was elastic-brittle or strain-hardening and medium 2 was strain-softening.In this way,a coattail catastrophe model of landslide system would be established.Through the analysis,it was discovered that the slope stability was greatly related with the stiffness ratio k of medium 1 to that at medium 2 and the geometrical-mechanical parameter ξ.Through analysis of parameters p,q and r.the complexity of the sliding system was found.When p was a fixed value,there were different zones of stability and instability in the control plane of q and r.
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Keywords:
- coattail catastrophe /
- strain-softening(hardening) /
- instability /
- water softening /
- stiffness ratio
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