An investigation of the cyclic elastic-plastic response of an Olefin plant heat exchanger subject to cyclic thermal and pressure loading is presented. Design by analysis procedures for assessment of shakedown and ratcheting are considered, based on elastic and inelastic analysis methods. The heat exchanger tube sheet thickness is nonstandard as it is considerably less than that required by conventional design by formula rules. Ratcheting assessment performed using elastic stress analysis and stress linearization indicates that shakedown occurs under the specified loading when the nonlinear component of the through thickness stress is categorized as peak stress. In practice, the presence of the peak stress will cause local reverse plasticity or plastic shakedown in the component. In nonlinear analysis with an elastic–perfectly plastic material model the vessel exhibits incremental plastic strain accumulation for 10 full load cycles, with no indication that the configuration will adapt to steady state elastic or plastic action, i.e., elastic shakedown or plastic shakedown. However, the strain increments are small and would not lead to the development of a global plastic collapse or gross plastic deformation during the specified life of the vessel. Cyclic analysis based on a strain hardening material model indicates that the vessel will adapt to plastic shakedown after 6 load cycles. This indicates that the stress categorization and linearization assumptions made in the elastic analysis are valid for this configuration.

1.
ASME
, 2007,
ASME Boiler and Pressure Vessel Code Section VIII Division 2
,
The American Society of Mechanical Engineers
,
New York, NY
.
2.
Behseta
,
K.
, and
Schindler
,
S.
, 2006, “
On the Design of the Tube Sheet and Tube Sheet-to-Shell Junction of a Fixed Tube Sheet Exchangers
,”
Int. J. Pressure Vessels Piping
0308-0161,
83
(
10
), pp.
714
720
.
3.
Konig
,
J. A.
, 1987,
Shakedown of Elastic Plastic Structures
,
Elsevier Science
,
Amsterdam
.
4.
Koiter
,
W. T.
, 1960, “
General Theorems for Elastic Plastic Solids
,”
Progress in Solid Mechanics
,
J. N.
Sneddon
and
R.
Hill
, eds.,
North-Holland
,
Amsterdam
, Vol.
1
, pp.
167
221
.
5.
Mackenzie
,
D.
, and
Boyle
,
J. T.
, 1993, “
A Simple Method of Estimating Shakedown Loads for Complex Structures
,”
Proceedings of ASME PVP
, Denver, CO, Vol.
265
, pp.
89
94
.
6.
Mackenzie
,
D.
,
Boyle
,
J. T.
,
Hamilton
,
R.
, and
Shi
,
J.
, 1995, “
Secondary Stress and Shakedown in Axisymmetric Nozzles
,”
Proceedings of ASME PVP
, Honolulu, HI, Vol.
313
, pp.
409
413
.
7.
Ponter
,
A. R. S.
, and
Carter
,
K. F.
, 1997, “
Shakedown State Simulation Techniques Based on Linear Elastic Solutions
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
140
, pp.
259
279
.
8.
Chen
,
H. F.
, and
Ponter
,
A. R. S.
, 2001, “
Shakedown and Limit Analyses for 3-D Structures Using the Linear Matching Method
,”
Int. J. Pressure Vessels Piping
0308-0161,
78
, pp.
443
451
.
9.
Preiss
,
R.
, 1999, “
On the Shakedown Analysis of Nozzles Using Elasto-Plastic FEA
,”
Int. J. Pressure Vessels Piping
0308-0161,
76
, pp.
421
434
.
10.
Muscat
,
M.
,
Hamilton
,
R.
, and
Boyle
,
J. T.
, 2002, “
Shakedown Analysis for Complex Loading Using Superposition
,”
J. Strain Anal. Eng. Des.
0309-3247,
37
(
5
), pp.
399
412
.
11.
Muscat
,
M.
,
Mackenzie
,
D.
, and
Hamilton
,
R.
, 2003, “
Evaluating Shakedown by Non-Linear Static Analysis
,”
Comput. Struct.
0045-7949,
81
, pp.
1727
1737
.
12.
ASME
, “
Criteria of the ASME Boiler and Pressure Vessel Code for Design by Analysis in Sections III and VIII, Division 2
,”
The American Society of Mechanical Engineers
,
New York
, 1969. Reprinted in Pressure Vessel Design and Analysis-A Decade of Progress, The American Society of Mechanical Engineers, New York, 1972.
13.
Behseta
,
K.
,
Mackenzie
,
D.
, and
Hamilton
,
R.
, “
Plastic Load Evaluation for a Fixed Tube Sheet Heat Exchanger
,”
Int. J. Pressure Vessels Piping
0308-0161, under review.
14.
ASME
, 2007,
Boiler and Pressure Vessel Code, Sec. VIII, Div. 1
,
American Society of Mechanical Engineers
,
New York, NY
.
15.
Reinhardt
,
W.
,
Kizhatil
,
R.
, and
McClellan
,
G. H.
, 2000, “
Analysis of a Tubesheet Undergoing Rapid Transient Thermal Loading
,”
ASME J. Pressure Vessel Technol.
0094-9930,
122
, pp.
476
481
.
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