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This omission has had major implications to data-analysis, too often based on techniques and procedures designed for linear phenomena, which should not be applied to systems characterised by non-linearity, self-organisation and constant change, fragmented but highly interconnected, history-dependent and counter-intuitive [ 3].
Linear phenomena are investigated numerically and compared with theory and with previous numerical results.
Such engineering problems involving slender structures with local or non linear phenomena restricted in time require a 3D model for a better understanding of the local or non linear phenomena, whereas a simplified beam model can be sufficient for simulating the linear phenomena occurring for a long period of time.
A general consensus is that – under favourable conditions – nonlinear effects exhibited by cracks are stronger than crack-induced linear phenomena.
"I think that it's a reasonable statement that we mostly understand linear phenomena," says Pablo Parrilo, the Finmeccanica Career Development Professor of Engineering MIT's Laboratory for Information and Decision Systems.
This approximation is generally no more valid near the boundary and loading conditions and when non linear phenomena like delamination occurs in the thickness.
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Examples include problems involving material laws pertaining to plasticity, impact and highly non-linear phenomena.
We characterised the surface damage region (SDR) and identified several non-linear phenomena.
Welding mechanical behaviors including residual stress and distortion are highly non-linear phenomena in nature.
These non-linear phenomena are explained by the action of acoustic radiation pressure.
Non-linear phenomena in the vibration of a square plate subject to lateral forcing are studied.
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