In this material, the studied crack, despite its small dimension, can be considered as "microstructurally long" and described in the frame of the linear elastic fracture mechanics.
Under the frame of the linear hydrodynamic wave theory, the dispersion relation is given by [17] ω = ϖ k = g k tanh k d + k ⋅ U, (2).
In the frame of the linear response theory (LRT), it is considered that the magnetization of the nanoparticles linearly depends on the applied magnetic field, the proportionality factor being the complex susceptibility.
The remaining degrees of freedom in the design of the filter's gain are used to satisfy an H∞ disturbance attenuation and poles assignment constraints in the frame of Markov jump linear systems (MJLS).
The non-monotonous dependence of the total sputtering yield on the projectile atomic number, which is unexpected in the frame of the Sigmund linear cascade theory, is investigated using Monte Carlo simulations (program SRIM 2003).
The a priori convergence (3.12) of conforming methods holds in a wider frame of (not necessarily linear) Petrov Galerkin schemes as exploited in [42,43,78 81] to prove convergence of adaptive FEM and BEM, and the adaptive FEM BEM coupling.
Remark 3.9 The a priori convergence (3.12) of conforming methods holds in a wider frame of (not necessarily linear) Petrov Galerkin schemes as exploited in [42,43,78 81] to prove convergence of adaptive FEM and BEM, and the adaptive FEM BEM coupling.
First, Part I deals with a comprehensive investigation on the effectiveness of an optimum seismic-tuned TMD towards reducing the earthquake response of linear frame structures, which is set up by a dedicated optimisation algorithm, allowing to achieve the best control device for a specific structural system and earthquake event.
This approach can improve the perceptual quality of videos by reducing annoying discontinuity between reconstructed frames and interpolated frames, as interpolated frames are generated by exploring the assumption of linear motion between consecutive frames.
