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].