Evaluation of Elastic Modulus in a Particulate Reinforced Composite by Shape Memory Effect

형상기억입자 강화 복합체의 탄성계수 평가

  • Published : 2001.01.01


The theoretical modeling to predict the modulus of elasticity by the shape memory effect of dispersed particles in a metal matrix composite was studied. The modeling approach is based on the Eshelbys equivalent inclusion method and Mori-Tanakas mean field theory. The calculation was performed on the TiNi particle dispersed Al metal matrix composites(PDMMC) with varying volume fractions and prestrains of the particle. It was found that the prestrain has no effect on the Yonugs modulus of PDMMC but the volume fraction does affects it. This approach has an advantage of definite control of Youngs modulus in PDMMCs.


Particle Dispersed Metal Matrix Composite;Shape Memory Effect;Eshelbys Equivalent Inclusion Method;Mori-Tanakas Mean Field Theory;Residual Stress;Youngs Modulus;Coefficient of Thermal Expansion;Prestrain;Eigenstrain


  1. Taya, M., and Arsenault, R.J., 1989, 'Termomechanical Behavior,' Metal Metrix Composites, Pergamon Press, Oxford, pp. 35-250
  2. Wei, G.C., and Becker, P.F., 1984, Journal of American Ceramic Society, Vol. 67, p. 571
  3. Cuberly, H., Baker, W.H., Benjamin, P.M., Unterweiser, C., Kirkpatrick, C.W., Knoll, V., and Nieman, K., 1979, 'Metal Hand Book, Ninth Edition,' American Society for Metals, Metals Park, Vol. 2, Ohio, p. 65
  4. Arsenault, R.J., and Taya, M., 1987, 'Thermal Residual Stress in Metal Metrix Composite,' Acta Metallurgical et Materialia, Vol. 35, No.3, pp. 651-659
  5. Hamada, K., Lee, J.H., Mizuuchi, K., Taya,M., and Inoue, K., 1998, 'Thermomechanical Behavior of TiNi Shape Memory Alloy Fiber Reinforced 6061 Aluminum Matrix Composite,' Metallurgical and Materials Transactions A, Vol. 29A, pp. 1127 -1135
  6. Eshelby, J.D., 1957, 'The Determination of the Elastic Field of an Ellipsoidal Inclusion and Related Problems,' Proc. Roy. Soc., London, Vol. A241. pp. 376-396
  7. Mura, T., 1987, Michromechanics of Defects in Solids, 2nd ed. Martines Nijholf, Dordrecht, Chap. 2
  8. Tandon, G.P., Weng, G.J., 1986, 'Stress Distribution in and Around Spheroidal Inclusions and Voids at Finite Concentration,' Journal of Applied Mechanics, Vol. 53, pp. 511-518
  9. Shi, N., Arsenault, R.J. Krawitz, A.D., and Smith, L.F., 1993, 'Deformation Induced Residual Stress Changes in SiC Whisker Reinforced 6061 Al Composites,' Metallurgical Transactions A, Vol. 24A, pp. 187-196
  10. 안득만, 김영구, 김부섭, 박익민, 조경목, 최일동, 1997, '단섬유 형상기억합금에 의한 복합재료의 강화기구 해석,' 한국복합재료학회지, 제10권, 제3호, pp. 1-15
  11. 안득만, 1998, '계면적을 고려한 형상기억합금 섬유강화 금속기 복합재료의 기계적 거동해석,' 한국복합재료학회지, 제11권, 제4호, pp. 74-82
  12. Wakashima, K., Suzuki, Y. and Umeka- wa, S., 1979, 'Initial Yield Surfaces of Undirectional Composites,' Journal of Composite Materials. Vol. 13, p. 288
  13. 김홍건, 이동주, 남태현, 이수근 1995, '형상기억효과를 이용한 지능형 복합체의 설계,' Journal of the lnstitude of Engineering Research, Jeonju University, Vol. 1, No.1, pp. 61-68
  14. 박영철, 윤두표, 김현수, 이규창, 1995, '형상기억합금을 이용한 지적복합재료의 개발과 그 지적 특성에 관한 연구,' 대한기계학회 추계학술대회 논문집(1) pp. 737-740
  15. 허경철, 김유영, 남태현, 1995, 'Ti-Ni-Cu 형상기억합금의 형상회복력,' 대한금속학회지, 제33권, 제10호, pp. 1296-1301
  16. 조영태, 김홍건, 노홍길, 이동주, 1999, '형상 기억효과에 따른 3차원 잔류응력의 해석,' 한국공작기계학회지, pp. 42-46
  17. Li, H., Li, J.B., Wang, Z.G., Chen, C.R., and Wang, D.Z., 1998, 'Dependence of Thermal Residual Stress on Temperature in a SiC Particle Reinforced 6061Al Alloy,' Metallurgical and Materials Transactions A, Vol. 29A, pp. 1998-2009
  18. Taya, M. and Arsenault, R.J., 1989, Thermomechanical and Material Behavior, Metal Matrix Composites Pergamon Press, Elmsford, NY, pp. 101-149
  19. 정태헌, 이동주, 김홍건, 1997, '형상기억합금을 이용한 지능형 고분자 복합재료의 설계,' 대한기계학회논문집(A), 제21권, 제10호, pp. 1609-1618