Interaction and multiscale mechanics

  • 제1권4호
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  • Pages.423-435
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  • 2008
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  • 1976-0426(pISSN)
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  • 2092-6200(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Reproducing kernel based evaluation of incompatibility tensor in field theory of plasticity

  • Aoyagi, Y. (Department of Mechanical Engineering, Keio University) ;
  • Hasebe, T. (Department of Mechanical Engineering, Kobe University) ;
  • Guan, P.C. (Civil & Environmental Engineering Department, UCLA) ;
  • Chen, J.S. (Civil & Environmental Engineering Department, UCLA)
  • 투고 : 2008.03.25
  • 심사 : 2008.11.24
  • 발행 : 2008.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper employs the reproducing kernel (RK) approximation for evaluation of field theory-based incompatibility tensor in a polycrystalline plasticity simulation. The modulation patterns, which is interpreted as mimicking geometrical-type dislocation substructures, are obtained based on the proposed method. Comparisons are made using FEM and RK based approximation methods among different support sizes and other evaluation conditions of the strain gradients. It is demonstrated that the evolution of the modulation patterns needs to be accurately calculated at each time step to yield a correct physical interpretation. The effect of the higher order strain derivative processing zone on the predicted modulation patterns is also discussed.

키워드

참고문헌

  1. Aoyagi, Y. and Hasebe, T. (2007), "New physical interpretation of incompatibility and application to dislocation substructure evolution", Key Engineering Materials, 340-341, 217-222. https://doi.org/10.4028/www.scientific.net/KEM.340-341.217
  2. Chen, J. S., Pan, C., Wu, C. T. and Liu, W. K. (1996), "Reproducing kernel particle methods for large deformation analysis of nonlinear structures", Comput. Methods Appl. Mech. Eng., 139, 195-227. https://doi.org/10.1016/S0045-7825(96)01083-3
  3. Hasebe, T. (2004a), "Continuum description of inhomogeneously deforming polycrystalline aggregate based on field theory", Mesoscopic Dynamics of Fracture Process and Materials Strength, IUTAM Symp. (eds. Kitagawa, H., Shibutani, Y.), 381-390, Kluwer.
  4. Hasebe, T. (2004b), "Field theoretical multiscale polycrystal plasticity", Trans. MRS-J, 29, 3619-3624.
  5. Hasebe, T. (2006), "Multiscale crystal plasticity modeling based on field theory", CMES, 11-3, 145-155.
  6. Hasebe, T. (2009a), "Field theory-based description of interaction field for multiple scales: Part I-theory-", Interaction and Multiscale Mechanics, An Int. J., 2(1).
  7. Hasebe, T. (2009b), "Field theory-based description of interaction field for multiple scales: Part II-Application-", Interaction and Multiscale Mechanics, An Int. J., 2(1).
  8. Liu, W. K., Jun, S. and Zhang, Y. F. (1995), "Reproducing kernel particle methods", I. J. Numer. Methods Fluids, 20, 1081-1106. https://doi.org/10.1002/fld.1650200824
  9. Sugiyama, M. (2005), Private communication.
  10. Wang, D. and Wu, Y. (2008), "An efficient Galerkin meshfree analysis of shear deformable cylindrical panels", Interaction and Multiscale Mechanics, An Int. J., 1(3), 339-355. https://doi.org/10.12989/imm.2008.1.3.339
  11. Zhang, X., Chen, J. S. and Osher, S. (2008), "A multiple level set method for modeling grain boundary evolution of polycrystalline materials", Interaction and Multiscale Mechanics, An Int. J., 1(2), 191-209. https://doi.org/10.12989/imm.2008.1.2.191

피인용 문헌

  1. Modeling and Simulations of Experimentally-Observed Dislocation Substructures Based on Field Theory of Multiscale Plasticity (FTMP) Combined with TEM and EBSD-Wilkinson Method for FCC and BCC Poly/Single Crystals vol.55, pp.5, 2014, https://doi.org/10.2320/matertrans.M2013226