Focused on investigating the self-reconfiguration and thermal control cooperative operations, several typical A-OOS cases were imposed on the F-TCS, numerical simulations and experimental validations were respectively implemented.
Most constraint conditions are imposed on the cell boundaries, where the numerical flux and its derivatives are solved as general Riemann problems.
In this context, there are three factors that should be considered in formulating the numerical problem: constraints imposed on the experimental study, limitations on the data collected, and accurate replication of boundary conditions and parameterizations.
However, the simulation results depended greatly on the mesh size, indenter tip radius and the hardening law imposed to the numerical model, and very little on friction coefficient.
For our numerical studies we consider the domain [ − 20, 20 ] in order to limit artifacts which originate from the fact that periodic boundary conditions are imposed on the domain of finite length that is used in the numerical simulations.
Neither reconstruction nor numerical fluxes is directly imposed on the condition in a finite volume method or a finite element method.
This enhancement, sometimes termed as "explicit" gradient formulation, requires higher-order tractions to be imposed on the evolving elasto-plastic boundary and the resulting numerical framework is complicated.
The initial value of variables was given as their equilibrium with a random fluctuation of 1.0%, and numerical simulations of the reaction-diffusion dynamics were imposed on the boundary condition of zero flux.
To reduce the tendency to trigger numerical instability, it is proposed that an extra constraint be imposed on the optimized extrapolation method.
The efficiency of the analytical solution is demonstrated using numerical examples including the design analysis of composite shells subject to constraints imposed on the fundamental frequency.
