We introduce a cohomological obstruction to solving the constant scalar curvature Kähler (cscK) equation twisted by a semipositive form, appearing in works of Fine and Song-Tian. Geometrically this gives an obstruction for a manifold to be the base of a holomorphic submersion carrying a cscK metric in certain “adiabatic” classes. In turn this produces many new examples of general type threefold...

An overview is given of a series of classification systems used for rock slope stability analyses. Calculation methods and parameters used seem not always appropriate for slopes stability and could be improved. Based on this evaluation some new ideas developed of how a system for slope stability assessment could be designed without inherited legacies as parameters related to underground excavat...

Strength reduction finite element method (SRFEM) has been widely used to analyze the slope stability. Strength Reduction Factor (SRF) is yielded as the slope Factor Of Safety (FOS) when a running-though shear failure zone comes into being, in which the Plastic Element EQuivalent strain (PEEQ) is employed as the judgment of shear failure initiation in this paper. Moreover, the filed variable is ...

To simplify the computational process of homogeneous slope stability, improve computational accuracy, and find multiple potential slip surfaces of a complex geometric slope, this study utilized the limit equilibrium method to derive expression equations of overall and partial factors of safety. This study transformed the solution of the minimum factor of safety (FOS) to solving of a constrained...

The majority of slope stability analyses performed in practice still use traditional limit equilibrium approaches involving methods of slices that have remained essentially unchanged for decades. This was not the outcome envisaged when Whitman & Bailey (1967) set criteria for the then emerging methods to become readily accessible to all engineers. The ®nite element method represents a powerful ...

1. Introduction Slopes in quarries and open pit mines, as well as all the types of embankments (stockpiles, tailing dams, waste dumps) resulting from mining and mineral processing activities, must be considered as "geotechnical structures". Therefore, the design and implementation of these structures must be conducted with all consideration. Considering an economical plan, the selection of reas...

Geocell protective slope is a kind of important ecological protection form, which is widely used in the geotechnical engineering field. Based on the finite element software ABAQUS, and combining with protective slope body’s mechanics performance in shallow soil, the finite element model of geocell slope protection is established under the conditions of rainfall seepage, and then we simulate the...

The limit equilibrium method (LEM) has been a main-stay of analysis for geotechnical engineers for decades. Applied typically in a 2-D plane strain condition the method has been extended in formulation to the method of columns in 3-D and is now gaining increased use in industry. The formulation of the 3-D method of columns has typically been presented in Cartesian coordinates and with the assum...

Slope stability analysis is an enduring research topic in the engineering and academic sectors. Accurate prediction of the factor of safety (FOS) of slopes, their stability, and their performance is not an easy task. In this work, the adaptive neuro-fuzzy inference system (ANFIS) was utilized to build an estimation model for the prediction of FOS. Three ANFIS models were implemented including g...