This paper presents a comparison study between methods of deep learning as new category slope stability analysis, built upon the recent advances in artificial intelligence and conventional limit equilibrium analysis methods. For this purpose, computer code was developed to calculate factor safety (FS) using four methods: Bishop’s simplified method, Fellenius Janbu’s corrected method. The verifi...

In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with many claims, the equilibrium statistical mechanics of such systems is a well understood subject. In this proceeding, we explain briefly the classical approa...

Introduction. Experimental studies of crack formation and limit equilibrium a reinforced concrete floor slab-shell, developed by the authors, were carried out. Materials methods . The out on models made scale 1:5. Results. During tests, three stages stress-strain state established: first is elastic stage tensile work in lower part longitudinal contour ribs; second opening cracks; third destruct...

Abstract We study how local bargaining in a networked market can cause endogenous fluctuations by a new approach that incorporates non-cooperative bargaining into a large networked economy. In particular, we consider a networked bargaining game that captures trade with intermediaries and define its replications. We examine the agents’ behavior in the limit as the population size goes to infinit...

Small lattices of N nearest-neighbor coupled excitable FitzHugh-Nagumo systems, with time-delayed coupling are studied and compared with systems of FitzHugh-Nagumo oscillators with the same delayed coupling. Bifurcations of equilibria in an N=2 case are studied analytically, and it is then numerically confirmed that the same bifurcations are relevant for the dynamics in the case N>2. Bifurcatio...

The paper shows that the behaviour of mechanical systems subject to unilateral constraints differs from that of standard systems in subtle and yet important ways; therefore a proper theoretical formulation is required for simulating their behaviour. After showing that the equilibrium equations for a multibody system subject to unilateral constraints have the same form as the standard Kuhn-Tucke...