In this paper, decomposition of the total strain into elastic and plastic parts is investigated for extension of elastic-type constitutive models to finite deformation elastoplasticity. In order to model the elastic behavior, a Hookean-type constitutive equation based on the logarithmic strain is considered. Based on this constitutive equation and assuming the deformation theory of Hencky as well as the yield criteria of von Mises, the elastic-plastic behavior of materials at finite deformation is modeled in the case of the proportional loading. Moreover, this elastoplastic model is applied in order to determine the stress distribution in thick-walled cylindrical pressure vessels at finite deformation elastoplasticity.

References

References
1.
Lee
,
E. H.
,
1969
, “
Elastic-Plastic Deformation at Finite Strains
,”
ASME J. Appl. Mech.
,
36
, pp.
1
6
.10.1115/1.3564580
2.
Ogden
,
R. W.
,
1984
,
Nonlinear Elastic Deformations
,
Ellis Harwood
,
Chichester, UK
.
3.
Darijani
,
H.
, and
Naghdabadi
,
R.
,
2010
, “
Constitutive Modeling of Solids at Finite Deformation Using a Second-Order Stress–Strain Relation
,”
Int. J. Eng. Sci.
,
48
, pp.
223
236
.10.1016/j.ijengsci.2009.08.006
4.
Khan
,
A. S.
, and
Huang
,
S.
,
1995
,
Continuum Theory of Plasticity
,
John Wiley
,
New York
.
5.
Jahed
,
H.
,
Sethuraman
,
R.
, and
Dubey
,
R. N.
,
1997
, “
A Variable Material Property Approach for Solving Elastic-Plastic Problems
,”
Int. J. Pressure Vessels Piping
,
71
, pp.
285
291
.10.1016/S0308-0161(96)00079-8
6.
Perrone
,
N.
,
1960
, “
Strain-Hardening Solutions to Axisymmetric Disks and Tubes
,”
Trans. ASME J. Appl. Mech.
,
27
, pp.
45
53
.10.1115/1.3643933
7.
Slevinsky
,
B.
, and
Haddow
,
J. B.
,
1974
, “
Finite Elastic-Plastic Expansion of a Cylindrical Tube
,”
Trans. CSME
,
2
, pp.
216
222
.
8.
Gao
,
X.-L.
,
1993
, “
An Exact Solution for a Closed End Thick-Walled Cylinder of Elastic Linear-Hardening Material With Large Strains
,”
Int. J. Pressure Vessels Piping
,
56
, pp.
331
350
.10.1016/0308-0161(93)90004-D
You do not currently have access to this content.