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Fundamentals of Phenomenological Models 211

Gotoh, M., (1977b). A theory of plastic anisotropy based on a yield function of fourth order
(plane stress state)-II. International Journal of Mechanical Sciences, Vol.19, No.9, pp.513–520.
Green, A.E., and Zerna, W. (1954). Theoretical Elasticity. Dover Publications, Inc., New York.

Griffith, A.A. (1920). The phenomena of rupture and flow in solids. Philosophical Transactions of

the Royal Society of London, Series A, Vol.221, pp.163–198.
Hertzberg, R.W. (1996). Deformation and Fracture Mechanics of Engineering Materials. 4th Edi-
tion. John Wiley & Sons, Inc., Hoboken, NJ.
Hill, R. (1948). A theory of the yielding and plastic flow of anisotropic metals. Proceedings of the

Royal Society of London, Series A, Vol.193, No.1033, pp.281–297.
Inglis, C.E. (1913). Stresses in a plate due to the presence of cracks and sharp corners. Transac-
tions of the Institute of Naval Architects, Vol.55, pp.219–241.
Irwin, G.R. (1948). Fracture dynamics. Fracturing of Metals, American Society for Metals, Cleveland,
pp.147–166.
Irwin, G.R. (1957). Analysis of stresses and strains near the end of a crack traversing a plate. Jour-
nal of Applied mechanics, Vol.24, pp.361–364.
Irwin, G.R. (1961). Plastic Zone near a crack and fracture toughness. Proceedings of Seventh Saga-
more Conference, Vol.4, pp.63–76.
Landes, J.D. and Begley, J.A. (1976). A fracture mechanics approach to creep growth. ASTM STP
590. pp.128–148.
Lemaitre, J. (1996). A Course on Damage Mechanics. 2nd Edition. Springer.
Lubliner, J. (1990). Plasticity Theory. MacMillan Publishing Company, New York.
Morland, L.W. and Lee, E.H. (1960). Stress analysis for linear viscoelastic materials with tem-
perature variation. Journal of Rheology, Vol.4, No.1, pp.233–263.
Murakami, S. (1988). Mechanical modeling of material damage. Journal of Applied Mechanics,
Vol.55, pp.280–286.
Naghdi, P.M. and Murch, S.A. (1963). On the mechanical behaviour of viscoelastic plastic solids.
Journal of Applied Mechanics, Vol.30, pp.321–328
Nikibin, K.M., Webster, G.A. and Turner, C.E. (1976). ASTM STP 601, American Society for Testing
and Materials, Philadelphia, pp.47–62.
Ohji, K., Ogura, K. and Kubo, S. (1976). Transactions. Japanese Society of Mechanical Engineers,
Vol.42, No.354, pp.350–358.
Orowan, E. (1948). Fracture and Strength of Solids. Reports on Progress in Phsics, Vol.XII, p.185.
Perzyna, P. (1966). Fundamental problems in viscoplasticity. Advances in Applied Mechanics. Vol.9,
pp.241–257.
Rice, J.R. (1968). A path independent integral and the approximate analysis of strain concentra-
tion by notches and cracks. Journal of Applied Mechanics, Vol.35, pp.379–386.
Schapery, R.A. (1984). Correspondence principles and a generalized J integral for large defor-
mation and fracture analysis of viscoelastic media. International Journal of Fracture, Vol.25,
pp.195–223.
Sneddon, I.N. (1946). The distribution of stress in the neighborhood of a crack in an elastic solid.
Proceedings, Royal Society of London, Vol.A187, pp.229–260.
Suresh, S. (1998). Fatigue of Materials. 2nd Edition. Cambridge University Press, Cambridge.
Voyiadjis, G.Z. and Kattan, P.I. (1999). Advances in Damage Mechanics: Metals and Metal Matrix
Composites. Elsevier Science, The Netherland.
Weiner, J.H. (1983). Statistical Mechanics of Elasticity, Wiley Press, New York.
Wells, A.A. (1961). Unstable crack propagation in metals: cleavage and fast fracture. Proceedings
of the Crack Propagation Symposium, Cranfield, UK, Vol.1, pp.210–230.