Structural Engineering and Mechanics

  • 제58권4호
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  • Pages.641-659
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  • 2016
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

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Plane strain bending of a bimetallic sheet at large strains

  • Alexandrov, Sergei E. (Laboratory for Strength and Fracture of Materials and Structures, Institute for Problems in Mechanics) ;
  • Kien, Nguyen D. (Institute of Mechanics, Vietnam Academy of Science and Technology) ;
  • Manh, Dinh V. (Institute of Mechanics, Vietnam Academy of Science and Technology) ;
  • Grechnikov, Fedor V. (Metal Forming Department, Samara State Aerospace University)
  • 투고 : 2015.10.13
  • 심사 : 2015.12.17
  • 발행 : 2016.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper deals with the pure bending of incompressible elastic perfectly plastic two-layer sheets under plane strain conditions at large strains. Each layer is classified by its yield stress, shear modulus of elasticity and its initial percentage thickness in relation to the whole sheet. The solution found is semi-analytic. In particular, a numerical technique is only necessary to solve transcendental equations. The general solution is cumbersome because different analytic expressions for the radial and circumferential stresses should be adopted in different regions of the whole sheet. In particular, there are several alternative ways a plastic region (or plastic regions) can propagate. However, for any given set of material and process parameters the solution to the problem consists of a sequence of rather simple analytic expressions connected by transcendental equations. The general solution is illustrated by a simple example.

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참고문헌

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피인용 문헌

  1. Residual stress in an elastoplastic annular disc interacting with an elastic inclusion vol.8, pp.3, 2016, https://doi.org/10.12989/csm.2019.8.3.273
  2. Finite Pure Plane Strain Bending of Inhomogeneous Anisotropic Sheets vol.13, pp.1, 2016, https://doi.org/10.3390/sym13010145
  3. Plastic Bending at Large Strain: A Review vol.9, pp.3, 2016, https://doi.org/10.3390/pr9030406