Limit analysis is an important tool to assess the integrity of a structure. Successive elastic modulus adjustment, in particular, can simulate the plastic stress redistribution in a structure at the limit state (plastic collapse). Several limit load estimates have been developed based on the stress and strain distribution within a component. The bounding nature of these estimates is examined in this paper. Particular emphasis is given to the limit load estimate which has been proposed to give improved limit load predictions from partly converged stress distributions in the structure. Bounds on the accuracy of these predictions are derived.
Issue Section:
Technical Papers
1.
ASME Boiler and Pressure Vessel Code, 2001, Section III.
2.
ASME Boiler and Pressure Vessel Code, 2001, Section VIII.
3.
Webster, G., and Ainsworth, R. A., 1994, High Temperature Component Life Assessment, Chapman and Hall, London, UK.
4.
Ainsworth, R. A., Dean, D. W., and Budden, P. J., 2000, “Development in Creep Fracture Assessments within the R5 Procedure,” IUTAM Symposium on Creep in Structures, Nagoya, Japan, pp. 321–330.
5.
PD6539:1994, 1994, Guide to Methods for the Assessment of the Influence of Crack Growth on the Significance of Design in Component Operating at High Temperature, BSI, London, UK.
6.
Seshadri
, R.
, 1991
, “The Generalized Local Stress Strain (GLOSS) Analysis—Theory and Applications
,” ASME J. Pressure Vessel Technol.
, 113
, pp. 219
–227
.7.
Jones, G. L., and Dhalla, A. K., 1981, “Classification of Clamp Induced Stresses in Thin Walled Pipe,” ASME PVP-Vol. 81, pp. 17–23.
8.
Marriott, D. L., 1988, “Evaluation of Deformation or Load Control of Stress under Inelastic Conditions using Elastic Finite Element Stress Analysis,” ASME PVP-Vol. 136, pp. 3–9.
9.
Seshadri
, R.
, and Fernando
, C. P. D.
, 1992
, “Limit Loads of Mechanical Components and Structures using the GLOSS R-Node Method
,” ASME J. Pressure Vessel Technol.
, 114
, pp. 201
–208
.10.
Mackenzie
, D.
, and Boyle
, J. T.
, 1993
, “A Method of Estimating Limit Loads Using Elastic Analysis, I: Simple Examples
,” Int. J. Pressure Vessels Piping
, 53
, pp. 77
–85
.11.
Ponter
, A. R. S.
, Fuschi
, P.
, and Engelhardt
, M.
, 2000
, “Limit Analysis for a General Class of Yield Conditions
,” Eur. J. Mech. A/Solids
, 19
, pp. 401
–421
.12.
Ponter
, A. R. S.
, and Engelhardt
, M.
, 2000
, “Shakedown Limit for a General Yield Condition
,” Eur. J. Mech. A/Solids
, 19
, pp. 423
–445
.13.
Ponter, A. R. S., and Chen, H., 2001, “A Programming Method for Limit Load and Shakedown Analysis of Structures,” ASME PVP-Vol. 430, pp. 155–160.
14.
Mura
, T.
, Rimawi
, W. H.
, and Lee
, S. L.
, 1965
, “Extended Theorems of Limit Analysis
,” Q. Appl. Math.
, 23
, pp. 171
–179
.15.
Seshadri
, R.
, and Mangalaramanan
, S. P.
, 1997
, “Lower Bound Limit Loads Using Variational Concepts: The mα-Method
,” Int. J. Pressure Vessels Piping
, 71
, pp. 93
–106
.16.
Mangalaramanan
, P.
, and Reinhardt
, W.
, 2001
, “On Relating Redistributed Elastic and Inelastic Stress Fields
,” Int. J. Pressure Vessels Piping
, 78
, pp. 283
–293
.17.
Calladine, C. R., 1969, Engineering Plasticity, Pergamon Press, Oxford, UK.
18.
Lubliner, J., 1990, Plasticity Theory, Macmillan, London, UK.
19.
Mackenzie, D., Hamilton, R., and Boyle, J. T., 1996, “The Elastic Compensation Method in Shell Based Design by Analysis,” ASME PVP-Vol. 338-1, pp. 203–208.
20.
Pan, L., and Seshadri, R., 2001, “Limit Load Estimation using Plastic Flow Parameter in Repeated Elastic Finite Element Analysis,” ASME PVP-Vol. 430, pp. 145–150.
Copyright © 2003
by ASME
You do not currently have access to this content.