We present limiting shape results for a non-abelian variant of the abelian sandpile growth model (ASGM), some of which have no analog in the ASGM. One of our limiting shapes is an octagon. In our model, mass spreads from the origin by the toppling rule in Zhang’s sandpile model. Previously, several limiting shape results have been obtained for the ASGM using abelianness and monotonicity as main...

Abstract There are abundant limestone resources in Weibei area. However, under the influence of a complex geological environment and harsh external environment, they often suffer from various types serious disasters, which seriously threaten safety people mining area development resources. Therefore, it is urgent to carry out relevant governance. Firstly, combined with field engineering data ty...

With ongoing increases in excavation depth, the large-scale toppling instability failure of stratified anti-inclined slopes is gaining wide attention. To address problem controlling deformation with traditional small-deformation materials, this paper takes results existing studies on extraordinary mechanical properties engineering-scale Negative Poisson's ratio (NPR) anchor cable as a theoretic...

Natural rock slopes require accurate engineering–geological characterization to determine their stability conditions. Given that a natural mass is often characterized by non-uniform fracture distribution, the correct, detailed, and of discontinuity pattern essential. This crucial, for example, identifying possibility probability kinematic releases. In addition, complete analyses possible rockfa...

In this report the transient rocking response of electrical equipment subjected to trigonometric pulses and near-source ground motions is investigated in detail. First the rocking response of a rigid block subjected to a half-sine pulse motion is reviewed. It is shown that the solution presented by Housner (1963) for the minimum acceleration amplitude of a half-sine pulse that is needed to over...

Abstract This paper focuses on numerical modelling and back analysis of the Hell’s Mouth landslide to provide improved understanding evolution a section north coast Cornwall, UK. Discontinuity control is highlighted through formation ‘zawn’ or inlet, occurrence two successive landslides evidence ongoing instability opening tension cracks behind cliff top. Several integrated remote sensing (RS) ...