Complex Dynamical Behavior in the Shear-Displacement Model for Bulk Metallic Glasses during Plastic Deformation
In this paper, a fresh shear-displacement model is developed for the plastic deformation of the bulk metallic glasses. The multiscale behavior in the shear banding process and the dynamics transition with the parameters are investigated in analytical form. We present a theoretical support for the tr...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/7643762 |
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| author | Cun Chen Shaokang Guan Liying Zhang |
| author_facet | Cun Chen Shaokang Guan Liying Zhang |
| author_sort | Cun Chen |
| collection | DOAJ |
| description | In this paper, a fresh shear-displacement model is developed for the plastic deformation of the bulk metallic glasses. The multiscale behavior in the shear banding process and the dynamics transition with the parameters are investigated in analytical form. We present a theoretical support for the transition from unstable states to stable states in the experiment by multiscale analysis and the stability analysis. With the small parameter increasing from negative to positive, the stability of the shear slipping displacement system changes, and there is a limit cycle at the transition stage. Meanwhile, the phase diagram and the power spectrum also suggest that there is dynamics transition with the parameter changing. Moreover, the complexity is analyzed for different disturbance parameters, and it is coincident with the fact that the solution is more irregular for larger disturbance. In addition, we find that the amplitude of solution decreases with the temperature decreasing, which is consistent with the experimental results that the amplitude of the serration is smaller and smaller as the temperature decreases. |
| format | Article |
| id | doaj-art-ebd167d7298c4b0587dd2d3079d924b8 |
| institution | DOAJ |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ebd167d7298c4b0587dd2d3079d924b82025-08-20T03:21:18ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/76437627643762Complex Dynamical Behavior in the Shear-Displacement Model for Bulk Metallic Glasses during Plastic DeformationCun Chen0Shaokang Guan1Liying Zhang2School of Mathematics and Statistics, Zhengzhou University, 100 Science Road, Zhengzhou 450001, ChinaSchool of Materials Science and Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Mathematics and Statistics, Zhengzhou University, 100 Science Road, Zhengzhou 450001, ChinaIn this paper, a fresh shear-displacement model is developed for the plastic deformation of the bulk metallic glasses. The multiscale behavior in the shear banding process and the dynamics transition with the parameters are investigated in analytical form. We present a theoretical support for the transition from unstable states to stable states in the experiment by multiscale analysis and the stability analysis. With the small parameter increasing from negative to positive, the stability of the shear slipping displacement system changes, and there is a limit cycle at the transition stage. Meanwhile, the phase diagram and the power spectrum also suggest that there is dynamics transition with the parameter changing. Moreover, the complexity is analyzed for different disturbance parameters, and it is coincident with the fact that the solution is more irregular for larger disturbance. In addition, we find that the amplitude of solution decreases with the temperature decreasing, which is consistent with the experimental results that the amplitude of the serration is smaller and smaller as the temperature decreases.http://dx.doi.org/10.1155/2018/7643762 |
| spellingShingle | Cun Chen Shaokang Guan Liying Zhang Complex Dynamical Behavior in the Shear-Displacement Model for Bulk Metallic Glasses during Plastic Deformation Complexity |
| title | Complex Dynamical Behavior in the Shear-Displacement Model for Bulk Metallic Glasses during Plastic Deformation |
| title_full | Complex Dynamical Behavior in the Shear-Displacement Model for Bulk Metallic Glasses during Plastic Deformation |
| title_fullStr | Complex Dynamical Behavior in the Shear-Displacement Model for Bulk Metallic Glasses during Plastic Deformation |
| title_full_unstemmed | Complex Dynamical Behavior in the Shear-Displacement Model for Bulk Metallic Glasses during Plastic Deformation |
| title_short | Complex Dynamical Behavior in the Shear-Displacement Model for Bulk Metallic Glasses during Plastic Deformation |
| title_sort | complex dynamical behavior in the shear displacement model for bulk metallic glasses during plastic deformation |
| url | http://dx.doi.org/10.1155/2018/7643762 |
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