DOI QR코드

DOI QR Code

Numerical Assessment of Dislocation-Punching Theories for Continuum Structural Analysis of Particle-Reinforced Metal Matrix Composites

입자 강화 금속기지 복합재의 연속체 강도해석을 위한 전위 펀칭 이론의 전산적 평가

  • 서영성 (한남대학교 기계공학과) ;
  • 김용배 (한남대학교 기계공학과)
  • Received : 2010.10.06
  • Accepted : 2011.01.04
  • Published : 2011.03.01

Abstract

The yield strength of particle-reinforced composites increases as the size of the particle decreases. This kind of length scale has been mainly attributed to the geometrically necessary dislocation punched around the particle as a result of the mismatch of the thermal expansion coefficients of the particle and the matrix when the composites are cooled down after consolidation. In this study, two dislocation-punching theories that can be used in continuum structural modeling are assessed numerically. The two theories, presented by Shibata et al. and Dunand and Mortensen, calculate the size of the dislocationpunched zone. The composite yield strengths predicted by finite element analysis were qualitatively compared with experimental results. When the size of the particle is less than $2{\mu}m$, the patterns of the composite strength are quite different. The results obtained by Shibata et al. are in qualitatively better agreement with the experimental results.

Keywords

Particle-Reinforced Metal Matrix Composites;Dislocation Punching;Geometrically Necessary Dislocation;Length Scale;Finite-Element Analysis;Numerical Assessment

References

  1. Suh, Y. S., Joshi, S. P. and Ramesh, K., 2009, “An Enhanced Continuum Model for Size-Dependent Strengthening and Failure of Particle-Reinforced Composites,” Acta Materialia, Vol. 57, No. 19, pp. 5848-5861. https://doi.org/10.1016/j.actamat.2009.08.010
  2. Arsenault, R. J. and Shi, N., 1986, “Dislocation Generation due to Differences Between the Coefficients of Thermal Expansion,” Materials Science and Engineering, Vol. 81, pp. 175-187. https://doi.org/10.1016/0025-5416(86)90261-2
  3. Lloyd, D. J., 1994, “Particle Reinforced Aluminium and Magnesium Matrix Composites,” International Materials Reviews, Vol. 39, No. 1, pp. 1-23. https://doi.org/10.1179/imr.1994.39.1.1
  4. Shibata, S., Taya, M., Mori, T. and Mura, T., 1992, “Dislocation Punching from Spherical Inclusions in a Metal Matrix Composite,” Acta Metallurgica et Materialia, Vol. 40, No. 11, pp. 3141-3148. https://doi.org/10.1016/0956-7151(92)90477-V
  5. Dunand, D. C. and Mortensen, A., 1991, “On Plastic Relaxation of Thermal Stresses in Reinforced Metals,” Acta Metallurgica et Materialia, Vol. 39, No. 2, pp. 127-139. https://doi.org/10.1016/0956-7151(91)90261-X
  6. Hill, R., 1998, The Mathematical Theory of Plasticity, Oxford University Press, U.S.A.
  7. Eshelby, J., 1959, “The Elastic Field Outside an Ellipsoidal Inclusion,” Proceedings of the Royal Society of London, Series A 27, Vol. 252, No. 1271, pp. 561-569. https://doi.org/10.1098/rspa.1959.0173
  8. Peach, M. and Koehler, J., 1950, “The Forces Exerted on Dislocations and the Stress Fields Produced by Them,” Physical Review, Vol. 80, No. 3, pp. 436-439. https://doi.org/10.1103/PhysRev.80.436
  9. Hansen, N., 1977, “The Effect of Grain Size and Strain on the Tensile Flow Stress of Aluminium at Room Temperature,” Acta Metallurgica, Vol. 25, No. 8, pp. 863-869. https://doi.org/10.1016/0001-6160(77)90171-7
  10. Dassault Systemes Simulia, Inc., 2010, ABAQUS v. 6.9, Providence, U.S.A.
  11. Suh, Y. S., Kim, Y. and Rhee, Z., 2009, “Strength Analysis of Particle-Reinforced Aluminum Composites with Length-Scale Effect based on Geometrically Necessary Dislocations,” Transactions of Materials Processing, Vol. 18, No. 6, pp. 482-487. https://doi.org/10.5228/KSPP.2009.18.6.482
  12. Qu, S., Siegmund, T., Huang, Y., Wu, P. D., Zhang F. and Hwang, K. C., 2005, “A Study of Particle Size Effect and Interface Fracture in Aluminum Alloy Composite via an Extended Conventional Theory of Mechanism-Based Strain-Gradient Plasticity,” Composites Science and Technology, Vol. 65, No. 7-8, pp. 1244-1253. https://doi.org/10.1016/j.compscitech.2004.12.029
  13. Arsenault, R.J., Wang, L. and Feng, C. R., 1991, “Strengthening of Composites due to Microstructural Changes in the Matrix,” Acta Metallurgica et Materialia, Vol. 39, No. 1, pp. 47-57. https://doi.org/10.1016/0956-7151(91)90327-W