LAPSE:2021.0472
Published Article
LAPSE:2021.0472
Effect of Strain Hardening Laws on Solution Behavior Near Frictional Interfaces in Metal Forming Processes: A Simple Analytical Example
May 27, 2021
The main objective of the present paper is to compare, by means of a problem leading to a closed-form solution, the qualitative behavior of solutions based on three strain hardening laws: Swift’s law, Ludwik’s law, and Voce’s law. The boundary value problem involves the maximum friction law as one of the boundary conditions. Such features of the solutions as nonexistence and singularity are emphasized. An important feature of Swift’s and Ludwik’s laws is that the equivalent stress approaches infinity as the equivalent strain approaches infinity. On the contrary, Voce’s law involves saturation stress as one of the constitutive parameters. This qualitative difference in the equivalent stress behavior as the equivalent strain approaches infinity results in the qualitative difference in solutions’ behavior. In particular, Swift’s and Ludwik’s hardening laws are compatible with the regime of sticking independently of other conditions. In the case of Voce’s law, the solution under sticking conditions may break down. Moreover, Voce’s law predicts intensive strain levels near the friction surface at sliding, and the other strain hardening laws do not. Thin layers of intensive plastic deformation often occur near frictional interfaces in metal forming processes. Voce’s law predicts the occurrence of such layers without any additional assumptions.
Keywords
friction, metal forming processes, plasticity, singularity, work hardening
Subject
Suggested Citation
Alexandrov S, Lyamina E, Manach PY. Effect of Strain Hardening Laws on Solution Behavior Near Frictional Interfaces in Metal Forming Processes: A Simple Analytical Example. (2021). LAPSE:2021.0472
Author Affiliations
Alexandrov S: Ishlinsky Institute for Problems in Mechanics RAS, 119526 Moscow, Russia; Federal State Autonomous Educational Institution of Higher Education, South Ural State University (National Research University), 454080 Chelyabinsk, Russia [ORCID]
Lyamina E: Ishlinsky Institute for Problems in Mechanics RAS, 119526 Moscow, Russia
Manach PY: IRDL UMR CNRS 6027, Université Bretagne Sud, Rue de Saint Maudé, 56100 Lorient, France [ORCID]
Journal Name
Processes
Volume
8
Issue
11
Article Number
E1471
Year
2020
Publication Date
2020-11-17
Published Version
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr8111471, Publication Type: Journal Article
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LAPSE:2021.0472
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doi:10.3390/pr8111471
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May 27, 2021
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CC BY 4.0
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May 27, 2021
 
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May 27, 2021
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Calvin Tsay
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