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Wang C, Wang H, Chen G, Zhu Q, Cui L, Zhang P, Dong A. New Constitutive Model for the Size Effect on Flow Stress Based on the Energy Conservation Law. MATERIALS 2020; 13:ma13112617. [PMID: 32521734 PMCID: PMC7321564 DOI: 10.3390/ma13112617] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/10/2020] [Revised: 06/02/2020] [Accepted: 06/03/2020] [Indexed: 11/29/2022]
Abstract
In this study, a new model involving energy is established to characterize the size effect on flow stress. The new model treats the experimental machine and the specimen as an isolated system, and this isolated system satisfies the Energy Conservation Law. The total work performed on the specimen by the experimental machine is nearly equal to the energy consumed by the specimen plastic deformation and the energy consumed by friction (which can be ignored when working without friction). The new model predicts the energy consumption of the specimen deformation by quantifying the total energy input to the specimen by the experimental machine and then obtaining the relevant parameters of the constitutive model. Through uniaxial tensile tests of pure nickel thin sheets with various thickness/average grain sizes (t/d), the new model was used to optimize the parameters of the existing constitutive model that predicts the flow stress of specimens with different t/d. The prediction accuracy of the optimized constitutive model is improved, especially for specimens with a t/d < 1. The new model is established from the perspective of energy input to avoid the analysis of the material deformation mechanism and improve the prediction accuracy.
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Affiliation(s)
- Chuanjie Wang
- School of Materials Science and Engineering, Harbin Institute of Technology at Weihai, Weihai 264209, China; (C.W.); (H.W.); (G.C.); (Q.Z.); (L.C.)
- Key Laboratory of Micro-Systems and Micro-Structures Manufacturing of Ministry of Education, Harbin Institute of Technology, Harbin 150080, China
| | - Haiyang Wang
- School of Materials Science and Engineering, Harbin Institute of Technology at Weihai, Weihai 264209, China; (C.W.); (H.W.); (G.C.); (Q.Z.); (L.C.)
| | - Gang Chen
- School of Materials Science and Engineering, Harbin Institute of Technology at Weihai, Weihai 264209, China; (C.W.); (H.W.); (G.C.); (Q.Z.); (L.C.)
- Key Laboratory of Micro-Systems and Micro-Structures Manufacturing of Ministry of Education, Harbin Institute of Technology, Harbin 150080, China
| | - Qiang Zhu
- School of Materials Science and Engineering, Harbin Institute of Technology at Weihai, Weihai 264209, China; (C.W.); (H.W.); (G.C.); (Q.Z.); (L.C.)
| | - Lingjiang Cui
- School of Materials Science and Engineering, Harbin Institute of Technology at Weihai, Weihai 264209, China; (C.W.); (H.W.); (G.C.); (Q.Z.); (L.C.)
- Key Laboratory of Micro-Systems and Micro-Structures Manufacturing of Ministry of Education, Harbin Institute of Technology, Harbin 150080, China
| | - Peng Zhang
- School of Materials Science and Engineering, Harbin Institute of Technology at Weihai, Weihai 264209, China; (C.W.); (H.W.); (G.C.); (Q.Z.); (L.C.)
- Key Laboratory of Micro-Systems and Micro-Structures Manufacturing of Ministry of Education, Harbin Institute of Technology, Harbin 150080, China
- Correspondence: (P.Z.); (A.D.); Tel.: +86-631-5687324 (P.Z.)
| | - Anping Dong
- Shanghai Key Laboratory of Advanced High-temperature Materials and Precision Forming, Shanghai Jiao Tong University, Shanghai 200240, China
- Correspondence: (P.Z.); (A.D.); Tel.: +86-631-5687324 (P.Z.)
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