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Application of Swift equation is confirmed to a large plastic strain range of TS TS curves.
The influence of irradiation on the parameters of the Swift equation is investigated in detail.
Since large data scatter was observed for the ε0-parameter, a modified Swift equation σ = k(ε − σ02/k2)0.5 was proposed and evaluated.
The most appropriate constitutive equation has been identified, and it is shown that for the strain range 0 0.6 the true curves can be well described by the Swift equation: σ = k(ε − ε0)0.5.
The flow curves of the constituents were given by the Swift equation in which the material constants were described as functions of microstructural factors, chemical compositions and process parameters.
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When one considers the smallness of the fluctuation effects as for the local Swift-Hohenberg equation, the two-dimensional version of nonlocal stochastic Swift-Hohenberg equation [9] can be written as begin{aligned} &u_{t}=-(1+Delta)^{2} u+mu u-uG*u^{2}+sigma ucircxi.
We know that a localized one-dimensional version of the model is the local one-dimensional Swift-Hohenberg equation u_{t}=-(1+partial_{xx})^{2} u+mu u-u^{3}, (1.1) which was originally derived by Swift and Hohenberg [1] as a model for the convective instability in the Rayleigh-Bénard convection.
Polat [7] also considered the modified Swift-Hohenberg equation.
But the nonlocal stochastic Swift-Hohenberg equation (1.6) has had little investigation so far [9].
We know there has been some research recently as regards the local Swift-Hohenberg equation [2 5].
In this paper, we first study the deterministic Swift-Hohenberg equation on a bounded domain.
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