Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Recurso digital |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
Zenodo
2023
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| Konular: | |
| Online Erişim: | https://doi.org/10.5281/zenodo.10284579 |
| Etiketler: |
Etiketle
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İçindekiler:
- <p>This resource provides the Mathematica notebooks and computed data to reproduce the figures in the paper "<i>An energy-based finite-strain model for 3D heterostructured materials and its validation by curvature analysis"</i> by Y. Hadjimichael, Ch. Merdon, M. Liero, and P. Farrell.</p><p>It consists of two notebooks and accompanying data files. The data files contain curvature values obtained from simulations for bent heterostructured nanowires (consisting of two materials) and bimetallic beams.</p><p>The notebook **nanowire_curvature.nb** demonstrates how to obtain the curvature formulas described in Section 3 of the article. We use an energy-based approach and a kinetic framework to derive the analytic formula for the axial elastic strain on a cross-section, as shown in Figure 6a. It is shown that the two approaches are equivalent if the prestrain of the heterostructure is contained in the material that acts as a stressor. e also plot the curvature for various nanowires with respect to the stressor width. Furthermore, we compare the analytical results with the simulation data in Figure 8a.</p><p>The **bimetal_curvature.nb** file carries out a curvature analysis for the bimetallic beam. In addition, it determines the lattice mismatch required for the beam to bend at specific angles (see Figure 5). We can then compare the theoretical and numerical curvature values as we increase the lattice mismatch of the bimetallic beam. Figure 8b shows the curvature as a function of the lattice mismatch.</p><p>All figures mentioned above can be reproduced directly from the notebooks.</p><p>The notebooks are compatible with Mathematica version 13.2.1.0 and earlier releases.</p>