کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646127 | 1632215 | 2007 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Model reduction applied to square to rectangular martensitic transformations using proper orthogonal decomposition Model reduction applied to square to rectangular martensitic transformations using proper orthogonal decomposition](/preview/png/4646127.png)
Model reduction using the proper orthogonal decomposition (POD) method is applied to the dynamics of ferroelastic patches to study the first-order square to rectangular phase transformations. Governing equations for the system dynamics are constructed by using the Landau–Ginzburg theory and are solved numerically. By using the POD method, a set of empirical orthogonal basis functions is first constructed, then the system is projected onto the subspace spanned by a small set of basis functions determined by the associated singular values. The performance of the low-dimensional model is verified by simulating nonlinear thermo-mechanical waves and square to rectangular transformations in a ferroelastic patch. Comparison between numerical results obtained from the original PDE model and the low-dimensional one is carried out.
Journal: Applied Numerical Mathematics - Volume 57, Issues 5–7, May 2007, Pages 510-520