A Constitutive Relation Based on the Johnson–Cook Model for Ti-22Al-23Nb-2(Mo, Zr) Alloy at Elevated Temperature
Although several schemes have been proposed to modify the classical Johnson–Cook (J-C) model, the effect of temperature on the flow stress of materials at different temperatures has not been clarified. In the current study, to investigate the deformation behavior of Ti-22Al-23Nb-2(Mo, Zr) alloy at d...
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MDPI AG
2021-06-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/11/7/754 |
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| author | Yanju Wang Duo Zhou Yi Zhou Aixue Sha Huaxing Cheng Yabin Yan |
| author_facet | Yanju Wang Duo Zhou Yi Zhou Aixue Sha Huaxing Cheng Yabin Yan |
| author_sort | Yanju Wang |
| collection | DOAJ |
| description | Although several schemes have been proposed to modify the classical Johnson–Cook (J-C) model, the effect of temperature on the flow stress of materials at different temperatures has not been clarified. In the current study, to investigate the deformation behavior of Ti-22Al-23Nb-2(Mo, Zr) alloy at different temperatures, uniaxial tension experiments were performed at both room (RT, 28 °C) and elevated temperatures, and a modified J-C model was developed to describe the temperature-dependent plastic flow. In tensile experiments, Ti<sub>2</sub>AlNb-based alloy showed a continuous work hardening until reaching the ultimate strength at RT, while an apparent drop appeared in the flow stress after the peak stress at elevated temperature. Moreover, the experimental peak stress significantly depends on the testing temperature. To correctly describe the different variations of flow stresses at different temperatures, a parameter, S, which represents the softening behavior of flow stress, is integrated into the classical J-C model. In addition, the applicability and validity of the proposed J-C model were verified by calibration with experimental curves of different temperatures. On the other hand, the fractography of post-test specimens was examined to interrupt the increased fracture brittleness of Ti<sub>2</sub>AlNb-based alloy at elevated temperatures. The proposed constitutive relation based on the J-C model is applicable to predict the deformation behavior of other Ti<sub>2</sub>AlNb-based alloys at different temperatures. |
| first_indexed | 2024-03-10T10:00:18Z |
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| id | doaj.art-116f5dced7aa47fc84e337977fa99961 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T10:00:18Z |
| publishDate | 2021-06-01 |
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| series | Crystals |
| spelling | doaj.art-116f5dced7aa47fc84e337977fa999612023-11-22T01:58:09ZengMDPI AGCrystals2073-43522021-06-0111775410.3390/cryst11070754A Constitutive Relation Based on the Johnson–Cook Model for Ti-22Al-23Nb-2(Mo, Zr) Alloy at Elevated TemperatureYanju Wang0Duo Zhou1Yi Zhou2Aixue Sha3Huaxing Cheng4Yabin Yan5Materials Evaluation Center for Aeronautical and Aeroengine Application, AECC Beijing Institute of Aeronautical Materials, Beijing 100095, ChinaKey Laboratory of Pressure Systems and Safety, Ministry of Education, School of Mechanical Power and Engineering, East China University of Science and Technology, Shanghai 200237, ChinaMaterials Evaluation Center for Aeronautical and Aeroengine Application, AECC Beijing Institute of Aeronautical Materials, Beijing 100095, ChinaMaterials Evaluation Center for Aeronautical and Aeroengine Application, AECC Beijing Institute of Aeronautical Materials, Beijing 100095, ChinaKey Laboratory of Pressure Systems and Safety, Ministry of Education, School of Mechanical Power and Engineering, East China University of Science and Technology, Shanghai 200237, ChinaKey Laboratory of Pressure Systems and Safety, Ministry of Education, School of Mechanical Power and Engineering, East China University of Science and Technology, Shanghai 200237, ChinaAlthough several schemes have been proposed to modify the classical Johnson–Cook (J-C) model, the effect of temperature on the flow stress of materials at different temperatures has not been clarified. In the current study, to investigate the deformation behavior of Ti-22Al-23Nb-2(Mo, Zr) alloy at different temperatures, uniaxial tension experiments were performed at both room (RT, 28 °C) and elevated temperatures, and a modified J-C model was developed to describe the temperature-dependent plastic flow. In tensile experiments, Ti<sub>2</sub>AlNb-based alloy showed a continuous work hardening until reaching the ultimate strength at RT, while an apparent drop appeared in the flow stress after the peak stress at elevated temperature. Moreover, the experimental peak stress significantly depends on the testing temperature. To correctly describe the different variations of flow stresses at different temperatures, a parameter, S, which represents the softening behavior of flow stress, is integrated into the classical J-C model. In addition, the applicability and validity of the proposed J-C model were verified by calibration with experimental curves of different temperatures. On the other hand, the fractography of post-test specimens was examined to interrupt the increased fracture brittleness of Ti<sub>2</sub>AlNb-based alloy at elevated temperatures. The proposed constitutive relation based on the J-C model is applicable to predict the deformation behavior of other Ti<sub>2</sub>AlNb-based alloys at different temperatures.https://www.mdpi.com/2073-4352/11/7/754Ti<sub>2</sub>AlNb alloymechanical propertiesconstitutive relationJohnson–Cook model |
| spellingShingle | Yanju Wang Duo Zhou Yi Zhou Aixue Sha Huaxing Cheng Yabin Yan A Constitutive Relation Based on the Johnson–Cook Model for Ti-22Al-23Nb-2(Mo, Zr) Alloy at Elevated Temperature Crystals Ti<sub>2</sub>AlNb alloy mechanical properties constitutive relation Johnson–Cook model |
| title | A Constitutive Relation Based on the Johnson–Cook Model for Ti-22Al-23Nb-2(Mo, Zr) Alloy at Elevated Temperature |
| title_full | A Constitutive Relation Based on the Johnson–Cook Model for Ti-22Al-23Nb-2(Mo, Zr) Alloy at Elevated Temperature |
| title_fullStr | A Constitutive Relation Based on the Johnson–Cook Model for Ti-22Al-23Nb-2(Mo, Zr) Alloy at Elevated Temperature |
| title_full_unstemmed | A Constitutive Relation Based on the Johnson–Cook Model for Ti-22Al-23Nb-2(Mo, Zr) Alloy at Elevated Temperature |
| title_short | A Constitutive Relation Based on the Johnson–Cook Model for Ti-22Al-23Nb-2(Mo, Zr) Alloy at Elevated Temperature |
| title_sort | constitutive relation based on the johnson cook model for ti 22al 23nb 2 mo zr alloy at elevated temperature |
| topic | Ti<sub>2</sub>AlNb alloy mechanical properties constitutive relation Johnson–Cook model |
| url | https://www.mdpi.com/2073-4352/11/7/754 |
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