A geometrical theorem for the static equilibrium of a common-point-force system has been proven by means of virtual-work principle: The equilibrium point of a common-point force system has a minimal ...

Abstract: This paper outlines an approach to teaching Statics that is organized around five topics: free body diagrams, equilibrium, equivalence, separation of rigid bodies, and friction, without ...

Equilibrium problems and variational inequalities form a crucial mathematical framework for modelling systems where multiple agents or factors interact under specific constraints. An equilibrium ...

ABSTRACT: In this research, we have improved a relaxation method for triangular meshes intended for finite element fluid simulations which contain discrete element particles. The triangle edges are ...

Abstract: A method for mathematical modeling of multidimensional quasi-static processes, which are generalization of quasi-static processes in equilibrium thermodynamics, is proposed and substantiated ...