Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy
Isothermal hot compression tests of TC4–DT titanium alloy were performed under temperatures of 1203–1293 K and strain rates of 0.001–10 s<sup>−1</sup>. The purpose of this study is to develop a new high-precision modified constitutive model that can describe the deformation behavior of T...
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MDPI AG
2020-08-01
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| Online Access: | https://www.mdpi.com/1996-1944/13/15/3424 |
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| author | Haoran Wang Chunge Wang Muyu Li Rui Ma Jun Zhao |
| author_facet | Haoran Wang Chunge Wang Muyu Li Rui Ma Jun Zhao |
| author_sort | Haoran Wang |
| collection | DOAJ |
| description | Isothermal hot compression tests of TC4–DT titanium alloy were performed under temperatures of 1203–1293 K and strain rates of 0.001–10 s<sup>−1</sup>. The purpose of this study is to develop a new high-precision modified constitutive model that can describe the deformation behavior of TC4–DT titanium alloy. Both the modified strain-compensated Arrhenius-type equation and the modified Hensel–Spittel equation were established by revising the strain rate. The parameters in the above two modified constitutive equation were solved by combining regression analysis with iterative methods, which was used instead on the traditional linear regression methods. In addition, both the original strain-compensated Arrhenius-type equation and Hensel–Spittel equation were established to compare with the new modified constitutive equations. A comparison of the predicted values based on the four constitutive equations was performed via relative error, average absolute relative error (AARE) and the correlation coefficient (R). These results show the modified Arrhenius-type equation and the modified Hensel–Spittel equation is more accurate and efficient with a similar prediction accuracy. The AARE-value of the two modified constitutive equation is relatively low under various strain rates and their fluctuation is small as the strain rate changes. |
| first_indexed | 2024-03-10T18:00:11Z |
| format | Article |
| id | doaj.art-8e1749f9ce7d48199726ccde6e452010 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T18:00:11Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
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| spelling | doaj.art-8e1749f9ce7d48199726ccde6e4520102023-11-20T08:56:08ZengMDPI AGMaterials1996-19442020-08-011315342410.3390/ma13153424Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium AlloyHaoran Wang0Chunge Wang1Muyu Li2Rui Ma3Jun Zhao4College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaCollege of Mechanical and Energy Engineering, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, ChinaCollege of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaCollege of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaCollege of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, ChinaIsothermal hot compression tests of TC4–DT titanium alloy were performed under temperatures of 1203–1293 K and strain rates of 0.001–10 s<sup>−1</sup>. The purpose of this study is to develop a new high-precision modified constitutive model that can describe the deformation behavior of TC4–DT titanium alloy. Both the modified strain-compensated Arrhenius-type equation and the modified Hensel–Spittel equation were established by revising the strain rate. The parameters in the above two modified constitutive equation were solved by combining regression analysis with iterative methods, which was used instead on the traditional linear regression methods. In addition, both the original strain-compensated Arrhenius-type equation and Hensel–Spittel equation were established to compare with the new modified constitutive equations. A comparison of the predicted values based on the four constitutive equations was performed via relative error, average absolute relative error (AARE) and the correlation coefficient (R). These results show the modified Arrhenius-type equation and the modified Hensel–Spittel equation is more accurate and efficient with a similar prediction accuracy. The AARE-value of the two modified constitutive equation is relatively low under various strain rates and their fluctuation is small as the strain rate changes.https://www.mdpi.com/1996-1944/13/15/3424constitutive equationmodified Arrhenius-type equationstrain ratethe Hensel–Spittel (HS) equation |
| spellingShingle | Haoran Wang Chunge Wang Muyu Li Rui Ma Jun Zhao Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy Materials constitutive equation modified Arrhenius-type equation strain rate the Hensel–Spittel (HS) equation |
| title | Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy |
| title_full | Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy |
| title_fullStr | Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy |
| title_full_unstemmed | Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy |
| title_short | Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy |
| title_sort | constitutive equations for describing the hot compressed behavior of tc4 dt titanium alloy |
| topic | constitutive equation modified Arrhenius-type equation strain rate the Hensel–Spittel (HS) equation |
| url | https://www.mdpi.com/1996-1944/13/15/3424 |
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