The paper presents an application of iterative elastic techniques for the determination of elasto-plastic stress-strain fields, limit and shakedown loads. The iterative elastic method relies on iterative modification of elastic modulus in regions at which elastically calculated effective stress exceeds material yield strength. The technique is applied first to thick spherical and cylindrical shells under combined pressure and thermal gradient. Results showed good correlation with analytical elasto-plastic solutions. The elastic compensation technique is then applied to predict elasto-plastic stresses and shakedown loads of thin spherical shell with cylindrical nozzle subjected to internal pressure or end-thrust loading. Predicted shakedown loads were found to be in good agreement with the well-known Leckie and Penny results adopted in pressure vessel codes.
Issue Section:
Research Papers
1.
ASME Boiler and Pressure Vessel Code, 1996, American Society of Mechanical Engineering, New York, NY.
2.
Bland
D. R.
1956
, “Elastoplastic Thick-Walled Tubes of Work-Hardening Material Subjected to Internal and External Pressure and Temperature Gradients
,” Journal of Mechanics and Physics
, Vol. 4
, pp. 209
–229
.3.
BS-5500, 1991 “Specification for Unfired Fusion Pressure Vessels,” British Standards Institution.
4.
Chakrabarty, J., 1987, Theory of Plasticity, McGraw-Hill, New York, NY.
5.
Dhalla
A. K.
1987
, “A Simplified Procedure to Classify Stresses for Elevated Temperature Service
,” ASME PVP
-Vol. 120
, pp. 367
–500
.6.
Leckie
F. A.
Penny
R. K.
1967
, “Shakedown Loads for Radial Nozzles in Spherical Pressure Vessels
,” International Journal of Solids and Structures
, Vol. 3
, pp. 743
–755
.7.
LUSAS, 1992, Finite Element Analysis, Forge House, 66 High St., Kingston Upon Thames, Surrey KT1 1HN, UK.
8.
Mackenzie
D.
Boyle
J.
1992
, “An Iterative Elastic Analysis Procedure for Estimating Lower Bound Limit Loads
,” ASME PVP
-Vol. 230
, pp. 129
–134
.9.
Mackenzie, D., and Boyle, J., 1993a, “A Simple Method of Estimating Shakedown Loads for Complex Structures,” ASME PVP-Vol. 265, pp. 89–94.
10.
Mackenzie, D., and Boyle, J., 1993b, “Assessment of Classification Procedures for Finite Element Stresses,” University of Strathclyde, Scotland, UK.
11.
Mackenzie
D.
Boyle
J.
1993
c, “A Method of Estimating Limit Loads by Iterative Elastic Analysis I
,” International Journal of Pressure Vessels and Piping
, Vol. 53
, No. 1
, pp. 77
–95
.12.
Mackenzie, D., and Boyle, J., 1993d, “A Method of Estimating Limit Loads by Iterative Elastic Analysis II,” International Journal of Pressure Vessels and Piping, Ibid., pp. 97–199.
13.
Mackenzie, D., and Boyle, J., 1993e, “A Method of Estimating Limit Loads by Iterative Elastic Analysis III,” International Journal of Pressure Vessels and Piping, Ibid., pp. 121–142.
14.
Marriott, D. L., 1988, “Evaluation of Deformation or Load Control of Stress Under Inelastic Conditions Using Finite Element Stress Analysis,” ASME PVP-Vol. 136.
15.
Megahed
M. M.
1981
, “Influence of Hardening Rule on the Elasto-Plastic Behavior of a Simple Structure Under Cyclic Loading
,” International Journal of Mechanics
, Vol. 23
, pp. 169
–182
.16.
Megahed
M. M.
1982
, “Cyclic Plastic Behavior of Structural Components
,” International Journal of Mechanical Engineering Education
, Vol. 10
, No. 4
, pp. 235
–257
.17.
Megahed
M. M.
1990
, “Elastic-Plastic Behavior of a Thick Walled Tube With General Nonlinear Hardening Properties
,” International Journal of Mechanical Science
, Vol. 32
, No. 7
, pp. 551
–563
.18.
Megahed
M. M.
1991
a, “Elastic-Plastic Behavior of Spherical Shell With Non-linear Hardening Properties
,” International Journal of Solids and Structures
, Vol. 27
, No. 12
, pp. 1499
–1514
.19.
Megahed
M. M.
1991
b, “Influence of Reverse Yielding on Residual Stresses Induced by Auto Frettage
,” International Journal of Mechanical Science
, Vol. 33
, No. 2
, pp. 139
–150
.20.
Mohamed, A. I., 1997, “Applications of Iterative Elastic Techniques for Elastic-Plastic Analysis of Pressure Vessels,” M.Sc. thesis, Faculty of Engineering, Cairo, University, Cairo, Egypt.
21.
Seshadri, R., 1991, “The Generalized Local Stress Strain (GLOSS) Analysis Theory and Applications,” ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY, Vol. 113.
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