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From a numerical point of view, high values of the strain rate sensitivity parameter m favor easy convergence of these models, but when m is fixed arbitrarily, which is in practice done for slightly rate sensitive materials, the physical meaning of m is lost.
We used narrow search limits for some sites for an easy convergence of the misfit.
The mesh size is controlled appropriately to enable surface to surface contact and easy convergence of the solution.
When applying this model to small strain problems, the computation shows high efficiency and easy convergence as the nonlinear behaviour is not well developed yet due to fairly limited plastic deformation.
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The potentialities of DE are its simple structure, easy use, convergence speed and robustness.
Thanks to the adaptive nature of the law, the controller gain tuning is made extremely easy and convergence speed is greatly improved with respect to the original fixed gain controller.
Table 1 Pros and cons for direct and indirect methods Direct methods Indirect methods A priori knowledge of the solution structure Not required Required Sensible to the initial condition Not sensible Very sensible Handle the state constraints Easy Difficult Convergence speed and accuracy Relatively slow and inaccurate Fast and accurate Computational aspect Memory demanding Parallelizable.
The interest of this method is to separate the optimal design of each component, making easier the convergence of loops.
Accurate results are obtained with both methods, but one of them is preferred because: (a) estimation of parameters is easier; (b) convergence is faster; (c) errors are slightly lower.
The proposed approach has superior features, including: easy implementation; stable convergence characteristics; and good computational efficiency.
For one switching strategy in particular it is easy to prove convergence to the entropy solution.
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