Numerical Simulations of the Hall–Petch Relationship in Aluminium Using Gradient-Enhanced Plasticity Model
The Hall-Petch relation in aluminium is discussed based on the strain gradient plasticity framework. The thermodynamically consistent gradient-enhanced flow rules for bulk and grain boundaries are developed using the concepts of thermal activation energy and dislocation interaction mechanisms. It is...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/7356581 |
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| author | Yooseob Song Jaeheum Yeon Byoungjoon Na |
| author_facet | Yooseob Song Jaeheum Yeon Byoungjoon Na |
| author_sort | Yooseob Song |
| collection | DOAJ |
| description | The Hall-Petch relation in aluminium is discussed based on the strain gradient plasticity framework. The thermodynamically consistent gradient-enhanced flow rules for bulk and grain boundaries are developed using the concepts of thermal activation energy and dislocation interaction mechanisms. It is assumed that the thermodynamic microstresses for bulk and grain boundaries have dissipative and energetic contributions, and in turn, both dissipative and energetic material length scale parameters are existent. Accordingly, two-dimensional finite element simulations are performed to analyse characteristics of the Hall–Petch strengthening and the Hall–Petch constants. The proposed flow rules for the grain boundary are validated using the existing experimental data from literatures. An excellent agreement between the numerical results and the experimental measurements is obtained in the Hall–Petch plot. In addition, it is observed that the Hall–Petch constants do not remain unchanged but vary depending on the strain level. |
| format | Article |
| id | doaj-art-b9a68bf2ef9a47ebb4127aa3c27ddada |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-b9a68bf2ef9a47ebb4127aa3c27ddada2025-02-03T05:54:11ZengWileyAdvances in Civil Engineering1687-80861687-80942019-01-01201910.1155/2019/73565817356581Numerical Simulations of the Hall–Petch Relationship in Aluminium Using Gradient-Enhanced Plasticity ModelYooseob Song0Jaeheum Yeon1Byoungjoon Na2Department of Civil Engineering, The University of Texas Rio Grande Valley, Edinburg, TX 78539, USADepartment of Engineering & Technology, Texas A&M University-Commerce, Commerce, TX 75429, USAResearch Institute for Mega Construction, Korea University, Seoul 02841, Republic of KoreaThe Hall-Petch relation in aluminium is discussed based on the strain gradient plasticity framework. The thermodynamically consistent gradient-enhanced flow rules for bulk and grain boundaries are developed using the concepts of thermal activation energy and dislocation interaction mechanisms. It is assumed that the thermodynamic microstresses for bulk and grain boundaries have dissipative and energetic contributions, and in turn, both dissipative and energetic material length scale parameters are existent. Accordingly, two-dimensional finite element simulations are performed to analyse characteristics of the Hall–Petch strengthening and the Hall–Petch constants. The proposed flow rules for the grain boundary are validated using the existing experimental data from literatures. An excellent agreement between the numerical results and the experimental measurements is obtained in the Hall–Petch plot. In addition, it is observed that the Hall–Petch constants do not remain unchanged but vary depending on the strain level.http://dx.doi.org/10.1155/2019/7356581 |
| spellingShingle | Yooseob Song Jaeheum Yeon Byoungjoon Na Numerical Simulations of the Hall–Petch Relationship in Aluminium Using Gradient-Enhanced Plasticity Model Advances in Civil Engineering |
| title | Numerical Simulations of the Hall–Petch Relationship in Aluminium Using Gradient-Enhanced Plasticity Model |
| title_full | Numerical Simulations of the Hall–Petch Relationship in Aluminium Using Gradient-Enhanced Plasticity Model |
| title_fullStr | Numerical Simulations of the Hall–Petch Relationship in Aluminium Using Gradient-Enhanced Plasticity Model |
| title_full_unstemmed | Numerical Simulations of the Hall–Petch Relationship in Aluminium Using Gradient-Enhanced Plasticity Model |
| title_short | Numerical Simulations of the Hall–Petch Relationship in Aluminium Using Gradient-Enhanced Plasticity Model |
| title_sort | numerical simulations of the hall petch relationship in aluminium using gradient enhanced plasticity model |
| url | http://dx.doi.org/10.1155/2019/7356581 |
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