Abstract
The crack tip zone shielding effect for the ductile particle reinforced brittle materials is analyzed by using a micromechanics constitutive theory. The theory is developed here to determine the elastoplastic constitutive behavior of the composite. The elastoplastic particles, with isotropic or kinematical hardening, are uniformly dispersed in the brittle elastic matrix. The method proposed is based on the Mori-Tanaka's concept of average stress in the composite. The macroscopic yielding condition and the incremental stress strain relation of the composite during plastic deformation are explicity given in terms of the macroscopioc applied stress and the microstructural parameters of the composite such as the volume fraction and yield stress of ductile particles, elastic constants of the two phases, etc. Finally, the contribution of the plastic deformation in the particles near a crack tip to the toughening of the composite is evaluated.
Similar content being viewed by others
References
Evans AG. Perspective on the development of high-toughness ceramics. J Am Ceram Soc, 1990, 73 (2): 187–206
Sigl LS, Matage, PA, Dalgleish BJ, McMeeking RM, Evans AG. On the toughness of brittle materials reinforced with a ductile phase. Acta metall, 1988, 36 (4): 945–953
Budiansky B, Amazigo JC, Evans AG. Small-scale crack bridging and the fracture toughness of particulate-reinforced ceramics. J Mech Phys Solids, 1988, 36 (2): 167–187
Amazigo JC, Budiansky B. Interaction of particulate and transformation toughening. J Mech Phys Solids, 1988, 36 (5): 581–595
Mura T. Micromechanics of defects in solids. Martinus Nijhoff, Dordrecht, 1987
Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta metall, 1973, 21 (5): 571–574
Norris AN. An examination of the Mori-Tanaka effective medium approximation for multiphase composites. J Applied Mechanics, Transactions of the ASME, 1989, 56 (1): 83–88
Hutchinson JW. Singular behavior at the end of a tensile crack in a hardening material. J Mech Phys Solids, 1968, 16 (1): 13–31
Author information
Authors and Affiliations
Additional information
The project supported by National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Qingping, S., Kehchih, H. The crack tip zone shielding effect for ductile particle reinforced brittle materials. Acta Mech Sinica 8, 136–139 (1992). https://doi.org/10.1007/BF02487160
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02487160