Abstract
The commercial finite element package ABAQUS has been used to analyse the crack bridging process by Ti-15 at%V β-phase particles dispersed in γ-TiAl matrix in the presence of particle–matrix decohesion. Both the particle–matrix decohesion potential and the β-phase materials constitutive relations are found to have a major effect on the ductility, fracture toughness and failure mode of the β–γ two-phase material. The interface potential is found to primarily affect the distribution of the normal interface strength ahead of the advancing interfacial crack and the mode (gradual versus sudden) of decohesion. The β-phase materials constitutive relations are found to influence the location of nucleation of the interfacial cracks and, in turn, the mode of decohesion. A metastable β-phase that can plastically deform at low stress levels by undergoing a stress-assisted martensitic transformation, but experience a high rate of strain hardening is found to give rise to the largest levels of ductility and fracture toughness is the β–γ two-phase material. © 1998 Kluwer Academic Publishers
Similar content being viewed by others
References
L. S. Sigl and H. E. Exner, Metall. Trans. 18A (1987) 1299.
M. S. Newkirk, A. W. Urqhart and H. R. Zwicker, J. Mater. Res. 1 (1986) 81.
I. Aksay and A. Pysik, “Ceramic microstructures: role of interfaces, edited by J. A. Pask and A. G. Evans, (Plenum Press, New York, 1987).
A. G. Evans and R. M. Mcmeeking, Acta Metall. 34 (1986) 2435.
B. Budiansky, J. Amazigo and A. G. Evans, J. Mech. Phys. Solids 26 (1989) 364.
B. Budiansky, Micromechanics II, Proceedings of the Tenth US Congress on Applied Mechanics (1986).
A. G. Evans and R. M. Cannon, Acta Metall. 34 (1986) 761.
G. B. Olson, in “Innovations in ultra-high strength steel technology”, edited by G. B. Olson and E. S. Wright, 3rd Sagamore Army Materials Research Conference, Lake George, NY August 30-September 3 (1987) p. 3.
M. Grujicic and P. Dang, Mater. Sci. Engng A224 (1997) 187.
M. Grujicic and N. Sankaran, Int. J. Solids Struct. 34 (1997) 4421.
Idem, ibid 83 (1997) 337.
A. Needleman, J. Appl. Mech. 54 (1987) 525.
R. E. Cech and D. Turnbull, Trans. AIME 206 (1956) 124.
Abaqus Theory Manual, Verson 5.4, Hibbitt, Karlsson and Sorensen, Inc., Providence, RI (1995).
M. Grujicic and S. G. Lai, J. Mater. Sci. This is Part I, JM 70879.
G. Bozzolo, J. Ferrante and J. R. Smith, Scripta Metall. Mater. 25 (1991) 1927.
X.-P Xu and A. Needleman, Modeling Simul. Mater. Sci Engng 1 (1993) 111.
S. Socrate, PhD thesis MIT, Cambridge, MA (1996).
R. D. Kreig and D. B. Kreig, J. Pressure Vessel Technol. ASME 99 (1977) 510.
Y.-W. Kim and S. Krishnamurthy, J. Metals 43 (1991) 149.
L. E. Murr, K. P. Staudhammer and S. S. Kecker, Metall. Trans. 13A (1982) 627.
H. Conrad and R. Jones, in “The science, technology and application of titanium”, edited by R. I. Jaffe and N. E. Promisel (Pergamon Press, 1970). pp. 81-501.
A. Zavaliangos and L. Anand, Int. J. Num. Mech. Engng 19 (1990) 267.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grujicic, M., Lai, S.G. Effect of martensitic transformation in Ti–15 at %V β-phase particles on lamellar boundary decohesion in γ-TiAl Part II Finite element analysis of crack-bridging phenomenon. Journal of Materials Science 33, 4401–4415 (1998). https://doi.org/10.1023/A:1004441129440
Issue Date:
DOI: https://doi.org/10.1023/A:1004441129440