Advantages of second order work as a rational safety factor and stability analysis of a reinforced rock slope
Résumé
Landslides can be considered as a static–dynamic transition with the sudden release of kinetic energy. The sharp vanishing of the second-order work is also linked to this phenomenon. In this study, the relation between the second-order work and the kinetic energy is reviewed, and five advantages of the normalized global second-order work (D 2 W n ) as a factor of safety (FOS) are proposed and discussed, comparing this FOS with the one based on the strength reduction method. The D 2 W n is considered in the explicit algorithm of the finite difference method, and its mesh-independence is numerically checked by a series of triaxial compression tests. By simulating the excavations of a reinforced rock slope, the stability analyses are performed using the D 2 W n and the traditional FOS. The D 2 W n is proven completely independent of the convergence criterion and more sensitive to the global failure. Finally, a recently developed energy-absorbing cable is considered for supporting the studied rock slope. Its supporting effect is compared with that of traditional cables.
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