Transactions of Materials Processing (소성∙가공)

The Korean Society for Technology of Plasticity and materials processing (한국소성∙가공학회)
권호 표지
DOI QR코드

DOI QR Code

Computer Simulation of Hemispherical Sheet Forming Process Using Crystal Plasticity

결정 소성학을 이용한 반구 박판 성형공정의 전산모사

  • 심정길 (한양대학교 일반대학원) ;
  • 금영탁 (한양대학교 기계공학부)
  • Published : 2007.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

The hardening and the constitutive equation based on the crystal plasticity are introduced for the numerical simulation of hemispherical sheet metal forming. For calculating the deformation and the stress of the crystal, Taylor's model of the crystalline aggregate is employed. The hardening is evaluated by using the Taylor factor, the critical resolved shear stress of the slip system, and the sum of the crystallographic shears. During the hemispherical forming process, the texture of the sheet metal is evolved by the plastic deformation of the crystal. By calculating the Euler angles of the BCC sheet, the texture evolution of the sheet is traced during the forming process. Deformation texture of the BCC sheet is represented by using the pole figure. The comparison of the strain distribution and punch force in the hemispherical forming process between the prediction using crystal plasticity and experiment shows the verification of the crystal plasticity-based formulation and the accuracy of the hardening and constitutive equation obtained from the crystal plasticity.

Keywords

References

  1. Hiroshi Takahashi, 1999, 多結晶塑性論(Polycrystal Plasticity), corona publishing co
  2. F. Roters, D. Raabe, G. Gottstein, 2000, Work hardening in heterogeneous alloys-a microstructural approach based on three internal state variables, Acta materialia, Vol. 48, pp. 4181-4189 https://doi.org/10.1016/S1359-6454(00)00289-5
  3. W. Gambin, F. Barlat, 1997, Modeling of deformation texture development based on rate independent crystal plasticity, International Journal of Plasticity, Vol. 13, No. 1/2, pp. 75-85 https://doi.org/10.1016/S0749-6419(97)00001-6
  4. William F. Hosford, 1998, Reflection on dependence of plastic anisotropy on texture, Materials Science and Engineering, Vol. A257, pp. 1-8
  5. Yasunori Nakamura, Nguyen Ngoc Tam, Tomiso Ohata, Kiminori Morita, Eiji Nakamachi, 2004, Development of dynamic explicit crystallographic homogenization finite element analysis code to assess sheet metal formability, Materials Processing and Design, Numiform 2004, pp. 1658-1663
  6. R. J. Asaro, A. Needleman, 1984, Texture development and strain hardening in rate dependent polycrystals, Acta metal, Vol. 33, No. 6, pp 923-953 https://doi.org/10.1016/0001-6160(85)90188-9
  7. U. F. Kocks, 1958, Polyslip in Polycrystals, Acta Metall., Vol. 6, pp. 85-94 https://doi.org/10.1016/0001-6160(58)90117-2
  8. G. I. Taylor, 1938, Plastic strain in metals, J. Inst. Metals, Vol. 62, pp. 307-324
  9. E. Nakamachi, C. L. Xie, H. Morimoto, 2001, Drawability assessment of BCC steel sheet by using elastic/crystalline viscoplastic finite element analysis, International Journal of Mechanical Sciences, Vol. 43, pp. 631-652 https://doi.org/10.1016/S0020-7403(00)00048-5
  10. Gang Lin, Kerry S. Havner, 1996, A comparative study of hardening theories in torsion using the Taylor polycrystal model, International Journal of Plasticity, Vol. 12, No. 5, pp. 695-718 https://doi.org/10.1016/S0749-6419(96)00025-3
  11. H. J. Bunge, 1982, Texture analysis in materials science: mathematical methods, butterworths
  12. William F. Hosford, 1993, The mechanics of Crystals and Textured Polycrystals, Oxford University Press
  13. Y. T. Keum, J. W. Oh, 2005, Finite element simulation of a ceramic drying process considering pore shape and porosity, Modelling and Simulation in Materials Science and Engineering, Vol. 13, pp. 225 -237 https://doi.org/10.1088/0965-0393/13/2/005
  14. S. Y. Lee, Y. T. Keum, J. M. Park, K. Chung, F. Barlat, 1997, Three-dimensional Finite Element Method Simulations of Stamping Processes of Planar Anisotropic Sheet Metals, Int. J. Mech. Sci., Vol. 39 No.10, pp. 1181-1198 https://doi.org/10.1016/S0020-7403(97)00012-X

Cited by

  1. Research History and Recent Trends in the Development of Sheet Metal-Forming Processes vol.33, pp.4, 2016, https://doi.org/10.7736/KSPE.2016.33.4.247