Rolling Texture of Cu–30%Zn Alloy Using Taylor Model Based on Twinning and Coplanar Slip
A modified Taylor model, hereafter referred to as the MTCS (Mechanical-Twinning-with-Coplanar-Slip)-model, is proposed in the present work to predict weak texture components in the shear bands of brass-type fcc metals with a twin–matrix lamellar (TML) structure. The MTCS-model considers two boundary...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/11/11/1351 |
| _version_ | 1797510750937284608 |
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| author | Shih-Chieh Hsiao Sin-Ying Lin Huang-Jun Chen Ping-Yin Hsieh Jui-Chao Kuo |
| author_facet | Shih-Chieh Hsiao Sin-Ying Lin Huang-Jun Chen Ping-Yin Hsieh Jui-Chao Kuo |
| author_sort | Shih-Chieh Hsiao |
| collection | DOAJ |
| description | A modified Taylor model, hereafter referred to as the MTCS (Mechanical-Twinning-with-Coplanar-Slip)-model, is proposed in the present work to predict weak texture components in the shear bands of brass-type fcc metals with a twin–matrix lamellar (TML) structure. The MTCS-model considers two boundary conditions (i.e., twinning does not occur in previously twinned areas and coplanar slip occurs in the TML region) to simulate the rolling texture of Cu–30%Zn. In the first approximation, texture simulation using the MTCS-model revealed brass-type textures, including Y{1 1 1} <1 1 2> and Z{1 1 1} <1 1 0> components, which correspond to the observed experimental textures. Single orientations of C<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo> </mo><mn>1</mn><mo> </mo><mn>2</mn></mrow><mo>)</mo></mrow><mrow><mo>[</mo><mrow><mover accent="true"><mrow><mn>1</mn></mrow><mo stretchy="true">¯</mo></mover><mo> </mo><mover accent="true"><mrow><mn>1</mn></mrow><mo stretchy="true">¯</mo></mover><mo> </mo><mn>1</mn></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> and S’<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo> </mo><mn>2</mn><mo> </mo><mn>3</mn></mrow><mo>)</mo></mrow><mrow><mo>[</mo><mrow><mover accent="true"><mn>4</mn><mo>¯</mo></mover><mo> </mo><mover accent="true"><mn>1</mn><mo>¯</mo></mover><mo> </mo><mn>2</mn></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> were applied to the MTCS-model to understand the evolution of Y and Z components. For the Y orientation, the C orientation rotates toward T(5 5 2)[1 1 5] by twinning after 30% reduction and then toward Y(1 1 1)[1 1 2] by coplanar slip after over 30% reduction. For the Z orientation, the S’ orientation rotates toward T’<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>3</mn><mo> </mo><mn>2</mn><mo> </mo><mn>1</mn></mrow><mo>)</mo></mrow><mrow><mo>[</mo><mrow><mn>2</mn><mo> </mo><mover accent="true"><mrow><mn>1</mn></mrow><mo stretchy="true">¯</mo></mover><mo> </mo><mover accent="true"><mn>4</mn><mo>¯</mo></mover></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> by twinning after 30% reduction and then toward Z<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo> </mo><mn>1</mn><mo> </mo><mn>1</mn></mrow><mo>)</mo></mrow><mrow><mo>[</mo><mrow><mn>1</mn><mo> </mo><mn>0</mn><mo> </mo><mover accent="true"><mn>1</mn><mo>¯</mo></mover></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> by coplanar slip after over 30% reduction. |
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| id | doaj.art-b9c087159b5a4c8c931453f4f8309c15 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T05:35:45Z |
| publishDate | 2021-11-01 |
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| series | Crystals |
| spelling | doaj.art-b9c087159b5a4c8c931453f4f8309c152023-11-22T22:58:20ZengMDPI AGCrystals2073-43522021-11-011111135110.3390/cryst11111351Rolling Texture of Cu–30%Zn Alloy Using Taylor Model Based on Twinning and Coplanar SlipShih-Chieh Hsiao0Sin-Ying Lin1Huang-Jun Chen2Ping-Yin Hsieh3Jui-Chao Kuo4Department of Materials Science and Engineering, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Materials Science and Engineering, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Materials Science and Engineering, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Materials Science and Engineering, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Materials Science and Engineering, National Cheng Kung University, Tainan 70101, TaiwanA modified Taylor model, hereafter referred to as the MTCS (Mechanical-Twinning-with-Coplanar-Slip)-model, is proposed in the present work to predict weak texture components in the shear bands of brass-type fcc metals with a twin–matrix lamellar (TML) structure. The MTCS-model considers two boundary conditions (i.e., twinning does not occur in previously twinned areas and coplanar slip occurs in the TML region) to simulate the rolling texture of Cu–30%Zn. In the first approximation, texture simulation using the MTCS-model revealed brass-type textures, including Y{1 1 1} <1 1 2> and Z{1 1 1} <1 1 0> components, which correspond to the observed experimental textures. Single orientations of C<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo> </mo><mn>1</mn><mo> </mo><mn>2</mn></mrow><mo>)</mo></mrow><mrow><mo>[</mo><mrow><mover accent="true"><mrow><mn>1</mn></mrow><mo stretchy="true">¯</mo></mover><mo> </mo><mover accent="true"><mrow><mn>1</mn></mrow><mo stretchy="true">¯</mo></mover><mo> </mo><mn>1</mn></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> and S’<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo> </mo><mn>2</mn><mo> </mo><mn>3</mn></mrow><mo>)</mo></mrow><mrow><mo>[</mo><mrow><mover accent="true"><mn>4</mn><mo>¯</mo></mover><mo> </mo><mover accent="true"><mn>1</mn><mo>¯</mo></mover><mo> </mo><mn>2</mn></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> were applied to the MTCS-model to understand the evolution of Y and Z components. For the Y orientation, the C orientation rotates toward T(5 5 2)[1 1 5] by twinning after 30% reduction and then toward Y(1 1 1)[1 1 2] by coplanar slip after over 30% reduction. For the Z orientation, the S’ orientation rotates toward T’<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>3</mn><mo> </mo><mn>2</mn><mo> </mo><mn>1</mn></mrow><mo>)</mo></mrow><mrow><mo>[</mo><mrow><mn>2</mn><mo> </mo><mover accent="true"><mrow><mn>1</mn></mrow><mo stretchy="true">¯</mo></mover><mo> </mo><mover accent="true"><mn>4</mn><mo>¯</mo></mover></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> by twinning after 30% reduction and then toward Z<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo> </mo><mn>1</mn><mo> </mo><mn>1</mn></mrow><mo>)</mo></mrow><mrow><mo>[</mo><mrow><mn>1</mn><mo> </mo><mn>0</mn><mo> </mo><mover accent="true"><mn>1</mn><mo>¯</mo></mover></mrow><mo>]</mo></mrow></mrow></semantics></math></inline-formula> by coplanar slip after over 30% reduction.https://www.mdpi.com/2073-4352/11/11/1351brass-type shear bandtwin–matrix lamellaecoplanar slipTaylor modelCu–Zn alloycold-rolling texture |
| spellingShingle | Shih-Chieh Hsiao Sin-Ying Lin Huang-Jun Chen Ping-Yin Hsieh Jui-Chao Kuo Rolling Texture of Cu–30%Zn Alloy Using Taylor Model Based on Twinning and Coplanar Slip Crystals brass-type shear band twin–matrix lamellae coplanar slip Taylor model Cu–Zn alloy cold-rolling texture |
| title | Rolling Texture of Cu–30%Zn Alloy Using Taylor Model Based on Twinning and Coplanar Slip |
| title_full | Rolling Texture of Cu–30%Zn Alloy Using Taylor Model Based on Twinning and Coplanar Slip |
| title_fullStr | Rolling Texture of Cu–30%Zn Alloy Using Taylor Model Based on Twinning and Coplanar Slip |
| title_full_unstemmed | Rolling Texture of Cu–30%Zn Alloy Using Taylor Model Based on Twinning and Coplanar Slip |
| title_short | Rolling Texture of Cu–30%Zn Alloy Using Taylor Model Based on Twinning and Coplanar Slip |
| title_sort | rolling texture of cu 30 zn alloy using taylor model based on twinning and coplanar slip |
| topic | brass-type shear band twin–matrix lamellae coplanar slip Taylor model Cu–Zn alloy cold-rolling texture |
| url | https://www.mdpi.com/2073-4352/11/11/1351 |
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