The tangential plasticity
Tóm tắt
Various constitutive models for describing the inelastic stretching due to the stress rate component tangential to the yield or loading surface, i.e. the non-coaxiality of stress and inelastic stretching have been proposed in the past. However, a pertinent model applicable to a general loading process for materials with an arbitrary yield surface has not been proposed up to the present. In this article, the inelastic constitutive equation extended so as to describe the non-coaxiality is formulated generalizing the Rudnicki and Rice’s [1] J2-deformation theory in rate form and incorporating it into the subloading surface model with a smooth elastic-plastic transition.
Tài liệu tham khảo
J. W. Rudnicki and J. R. Rice,J. Mech. Phys. Solids 23, 371 (1975).
K. Hashiguchi and M. Ueno, inConstitutive Equations of Soils (Proc. 9th Int. Conf. Soil Mech. Found. Eng., Spec. Session 9)(eds., S. Murayama, S. and A. N. Schofield), p. 73, JSSMFE, Tokyo (1977).
K. Hashiguchi,J. Appl. Mech. (ASME) 47, 266 (1980).
K. Hashiguchi,Int. J. Solids Structures 25, 917 (1989).
K. Hashiguchi,Int J. Plasticity 9, 525 (1993).
K. Hashiguchi,Int. J. Plasticity 9, 721 (1993).
K. Hashiguchi,Int. J. Plasticity 13, 37 (1997).
Y. F. Dafalias,J. Appl. Mech. (ASME) 52, 865 (1985).
H. M. Zbib and E. C. Aifantis,Acta Mech. 75, 15 (1988).
K. Hashiguchi, and Z.-P. Chen,Int. J. Numer. Anal. Meth. Geomech. 22, 197 (1998).
R. Hill,J. Mech. Phys. Solids 6, 236 (1958).
R. Hill, inRecent Progress in Appl. Mech. (The Folke Odquivist Volume), p. 241, John-Wiley & Sons, Chichester, (1967).
K. Hashiguchi,Int. J. Plasticity 10, 871 (1994).
H. Hencky,Z.A.M.M. 4, 323 (1924).
B. Budiansky,J. Appl. Mech. (ASME) 26, 259 (1959).
S. Nemat-Nasser,J. Appl. Mech. (ASME) 50, 1114 (1983).
P. Vermeer, inModem Approaches to Plasticity (ed., D. Kolymbas), p. 71, Elsevier, Amsterdam, (1993).
C. Yatomi, A. Yashima, A. Iizuka and I. Sano,Soils and Foundations 29, 41 (1989).
J. Christoffersen and J. W. Hutchinson,J. Mech. Phys. Solids 27, 465 (1979).