This paper analyzes the decomposition of finite deformation into elastic and plastic parts. The analysis argues that Lee’s multiplicative decomposition of the deformation gradient is not the real separation of the total deformation into elastic and plastic parts and that the Green strain cannot be decomposed into elastic and plastic parts. The paper also analyzes the decomposition of the velocity gradient and presents an exact elastic-plastic decomposition of deformation rate.
Issue Section:
Brief Notes
1.
Casey
J.
Naghdi
P. M.
1980
, “A Remark on the use of the Decomposition F = FeFp in Plasticity
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 47
, pp. 672
–657
.2.
Clifton, R. J., 1972, “On the Equivalence of FeFP and
F
pF
e,” ASME JOURNAL OF APPLIED MECHANICS, pp. 287–289.3.
Lee
E. H.
1969
, “Elastic-plastic deformation at finite strains
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 36
, pp. 1
–6
.4.
Metzger
D. R.
Dubey
R. N.
1987
, “Corotational rates in constitutive modeling of elastic-plastic deformation
,” Int. J. Plasticity
, Vol. 4
, pp. 341
–368
.5.
Naghdi
P. M.
1990
, “A critical review of the state of finite plasticity
,” J. Appl. Math. Phys. (ZAMP)
, Vol. 41
, pp. 315
–393
.
This content is only available via PDF.
Copyright © 1998
by The American Society of Mechanical Engineers
You do not currently have access to this content.