Torsional rotations and equilibrated moments are evaluated by solving a first-order differential equation of

elastic equilibrium with boundary conditions of kinematic-type.

Currently, according to the effective stress principle and the

elastic equilibrium differential equation, the

elastic equilibrium differential equation of the matrix is

The framework makes use of an arbitrary number of viscoelastic networks and an

elastic equilibrium network to create a nonlinear model to predict and track changes in the internal structural networks of a polymer as it responds to repeated cyclic snap-fit loads.

The topics include stresses and strains:

elastic equilibrium, stresses and displacements in a soil mass, pore water pressure due to undrained loading, consolidation, the shear strength of soils, and the elastic settlement of shallow foundations.

In a three-dimensional elastic half-space,

elastic equilibrium equations in terms of displacement components [u.sub.r], [u.sub.[theta]], [u.sub.z] in an axi-symmetrical coordinate r, [theta], z can be written as follows.

Computable complete and perfect information dynamic game with [t.sub.1] + [t.sub.2] elastic equilibrium will reach the equilibrium results, under the conditions that it satisfies the Definition 7 and that each participants is rational.

The model converges to computable complete and perfect information dynamic game with [t.sub.1] + [t.sub.2] elastic equilibrium.

Differential and Boundary Equations of Elastic Equilibrium

Accordingly, the boundary and differential conditions of elastic equilibrium (13) and (14)take the form

If [??] = ([f.sub.1], [f.sub.2], [f.sub.3]) is the external forces vector, then the

elastic equilibrium of the composite equations are:

The corresponding

elastic equilibrium problem of torsion of an ERINGEN circular nanobeam is then formulated in Section 3.

The solution methodology of the nonlocal

elastic equilibrium problem of a nanobeam enlightened in the previous section is here adopted in order to assess small-scale effects in nanocantilever and clamped-simply supported nanobeams under a uniformly distributed load [q.sub.t].