Abstract
The paper focuses on the establishment of a simple, micro-mechanically based analytical model for an MgO polycrystalline specimen subjected to quasi-static uniaxial tension. The analytical description of the two basic modes of the irreversible rearrangements of the meso-structure: slip bands and Zener—Stroh cracks, is homogenized into a relation mapping macro stresses on macro strains.
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References
A. Stojimirovic, D. Krajcinovic, and T. Sadowski, in Constitutive Modeling for Nontraditional Materials,V. Stokes and D. Krajcinovic (eds.), ASME Publication AMD-Vol. 85 (1987) 175.
R. Hill, Journal of the Mechanics and Physics of Solids 15 (1967) 79.
I.A. Kunin, Elastic Media with Microstructure II, Springer-Verlag, Berlin (1983).
B. Budiansky and T.T. Wu, in Proceedings of the IVth U.S. National Congress of Applied Mechanics, ASME ( 1962 ) 1175.
T. Mura, Micromechanics of Defects in Solids, Nijhoff Publishers, The Hague, The Netherlands (1982).
B. Budiansky and R.J. O’Connell, International Journal of Solids and Structures 12 (1976) 81.
D. Krajcinovic and D. Sumarac, in Proceedings 10th U.S. National Congress of Applied Mechanics, ASME (1987) 115.
D. Sumarac and D. Krajcinovic, Mechanics of Materials 6 (1987) 39.
J.R. Rice, in Constitutive Equations in Plasticity, The MIT Press, Cambridge, MA (1975) 23.
A.G. Evans, Fracture in Ceramic Materials, Noyes Publishers, Park Ridge, New Jersey (1984).
P.G. Charalambides and R.M. McMeeking, in Constitutive Modeling for Nontraditional Materials, ASME Publication AMD-Vol. 85 (1987) 189.
J.R. Rice, in Fracture. An Advanced Treatise, Vol. 2, Academic Press, New York (1968) 192–311.
H. Riedel, Fracture at High Temperatures, Springer-Verlag, Berlin (1987).
J.J. Gilman, in Progress in Ceramic Science, Vol. I, Pergamon Press, New York (1961) 146.
R.J. Stokes, T.L. Johnston and C.H. Li, Philosophical Magazine 4 (1959) 920.
T.L. Johnston, R.J. Stokes, and C.H. Li, Philosophical Magazine 7 (1962) 23.
E. Smith and J. T. Barnby, Metal Science Journal 1 (1967) 19.
B.R. Lawn and T.R. Wilshaw, Fracture of Brittle Solids, Cambridge University Press, Cambridge (1975).
H. Horii and S. Nemat-Nasser, Philosophical Transactions, Royal Society of London 319 (1986) 337.
R.W. Davidge, Metal Science 14 (1980) 459–462.
D. Sumarac, “Self-Consistent Model for the Brittle Response of Solids,” Ph.D. thesis, CEMM Department, University of Illinois at Chicago (1987).
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Krajcinovic, D., Stojimirovic, A. (1990). Deformation processes in semi-brittle polycrystalline ceramics. In: Knauss, W.G., Rosakis, A.J. (eds) Non-Linear Fracture. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2444-9_5
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DOI: https://doi.org/10.1007/978-94-017-2444-9_5
Publisher Name: Springer, Dordrecht
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