Exact(1)
It is a governing equilibrium equation of an elastic bar of finite length L with long-range interactions among non-adjacent particles.
Similar(59)
The combination of these complexities results in a system of nonlinear governing equilibrium equations.
From a detailed variational procedure the governing equilibrium equation of the micro-plate and the most general boundary conditions are derived, in terms of the deflection, using the principle of minimum potential energy.
The governing equilibrium equations are solved using a finite element method.
The governing equilibrium equations have been derived from a variational principle.
We derive the optimality conditions and establish that the governing equilibrium conditions can be formulated as a finite-dimensional variational inequality problem.
In Section 2 we introduce the evolution in time of the competitive economic equilibrium problem in which the data depend on time and we show how the governing equilibrium conditions can be formulated in terms of an evolutionary quasivariational inequality.
Considering scale effect and shear deformation in the exact solutions of the governing equilibrium equations presented here, the results can be considered as a reference for nonlocal theories of curved nanobeams.
The analysis draws on game theoretic techniques (in normal form with subgame perfection as the governing equilibrium principle).
Considering both large displacement and small scale effect, the governing equilibrium equations are determined and solved.
In this context, it derives the equations governing equilibrium for structural elements of class 2 (columns, thin beams, rings).
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