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The intent was to obtain a mathematical description of the macroscopic behaviour of the system rather than to ascertain the ultimate physical basis of the phenomena.
Cosmology, the study of the structure and origin of the universe, is intimately connected with gravity, which determines the macroscopic behaviour of all matter.
Macroscopic behaviour of this material was related to the cavitation phenomenon.
Sage predicted the macroscopic behaviour of the prototype well but did not provide sufficient insights to improve performance significantly.
The developed models allow then deducing from the grains behaviour the macroscopic behaviour of the aggregate with damage effects.
A Ginzburg Landau model for the macroscopic behaviour of a shape memory alloy is proposed.
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The effects of microstructure on macroscopic behaviour for the cavity expansion problem are analysed.
In summary, we have demonstrated that full understanding of macroscopic behaviour (aided by global analysis), requires a detailed understanding of its microscopic components (facilitated by modelling).
The employment of shape memory alloys (SMA) in a large number of applications in the fields of aeronautical, biomedical, and structural engineering has been the motivation for an increasing interest in the direction of a correct and exhaustive modeling of their macroscopic behaviour.
The model is based on an additive decomposition of the state potential for the computation of composite macroscopic behaviour.
We obtained interesting results that showed some characteristics of the macroscopic behaviour.
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