TY - JOUR
T1 - Constitutive modeling of cyclic plasticity and creep, using an internal time concept
AU - Watanabe, O.
AU - Atluri, S. N.
N1 - Funding Information:
Acknowledgernents-This work was supported by the National Aeronautics & Space Administration, Lewis Research Center, under a grant, No. NAG-346 to Georgia Institute of Technology. The authors acknowledge this support as well as the encouragement of Drs. L. Berke and C. Chamis. It is a pleasure to record here our thanks to Ms. J. Webb for her careful assistance in the preparation of this paper.
PY - 1986
Y1 - 1986
N2 - Using the concept of an internal time as related to plastic strains, a differntial stress-strain relation for elastoplasticity is rederived, such that (i) the concept of a yield-surface is retained; (ii) the definitions of elastic and plastic processes are analogous to those in classical plasticity theory; and (iii) its computational implementation, via a "tangent-stiffness" finite element method and a "generalized-midpoint-radial-return" stress-integration algorithm, is simple and efficient. Also, using the concept of an internal time, as related to both the inelastic strains as well as the Newtonian time, a constitutive model for creep-plasticity interaction, is discussed. The problem of modeling experimental data for plasticity and creep, by the present analytical relations, as accurately as desired, is discussed. Numerical examples which illustrate the validity of the present relations are presented for the cases of cyclic plasticity and creep.
AB - Using the concept of an internal time as related to plastic strains, a differntial stress-strain relation for elastoplasticity is rederived, such that (i) the concept of a yield-surface is retained; (ii) the definitions of elastic and plastic processes are analogous to those in classical plasticity theory; and (iii) its computational implementation, via a "tangent-stiffness" finite element method and a "generalized-midpoint-radial-return" stress-integration algorithm, is simple and efficient. Also, using the concept of an internal time, as related to both the inelastic strains as well as the Newtonian time, a constitutive model for creep-plasticity interaction, is discussed. The problem of modeling experimental data for plasticity and creep, by the present analytical relations, as accurately as desired, is discussed. Numerical examples which illustrate the validity of the present relations are presented for the cases of cyclic plasticity and creep.
UR - http://www.scopus.com/inward/record.url?scp=0022603523&partnerID=8YFLogxK
U2 - 10.1016/0749-6419(86)90008-2
DO - 10.1016/0749-6419(86)90008-2
M3 - Article
AN - SCOPUS:0022603523
VL - 2
SP - 107
EP - 134
JO - International Journal of Plasticity
JF - International Journal of Plasticity
SN - 0749-6419
IS - 2
ER -