In this study, both the lower and upper bound shakedown limits of a closed-end composite cylinder with or without a cross-hole subject to constant internal pressure and a cyclic thermal gradient are calculated by the linear matching method. Convergence for the upper and lower bound shakedown limits of the composite cylinders is sought and shakedown limit interaction diagrams of the numerical applications identifying the regions of reverse plasticity limit and ratchet limit are presented. The effects of temperature-dependent yield stress, material discontinuities, composite cylinder thickness, and the existence of the cross-hole on the shakedown limits are discussed for different geometry parameters. Finally, a safety shakedown envelope is created by formulating the shakedown limit results of different composite materials and cylinder thickness ratios with different cross-hole sizes.
Issue Section:
Design and Analysis
1.
Noor
, A. K.
, 2000, “Structures Technology for Future Aerospace Systems
,” Comput. Struct.
0045-7949, 74
, pp. 507
–519
.2.
Thuis
, H. G. S. J.
, and Biemans
, C.
, 1997, “Design Fabrication and Testing of a Composite Bracket for Aerospace Applications
,” Compos. Struct.
0263-8223, 38
, pp. 91
–98
.3.
Makulsawatudom
, P.
, Mackenzie
, D.
, and Hamiton
, R.
, 2004, “Shakedown Behaviour of Thick Cylindrical Vessels With Cross-Holes
,” Proc. Inst. Mech. Eng., Part E: J. Process Mech. Eng.
, 218
, pp. 133
–141
.4.
Camilleri
, D.
, Mackemzie
, D.
, and Hamilton
, R.
, 2009, “Shakedown of a Thick Cylinder With a Radial Crosshole
,” ASME J. Pressure Vessel Technol.
0094-9930, 131
(1
), p. 011203
.5.
Liu
, Y. H.
, Carvelli
, V.
, and Maier
, G.
, 1997, “Integrity Assessment of Defective Pressurized Pipelines by Direct Simplified Methods
,” Int. J. Pressure Vessels Piping
0308-0161, 74
, pp. 49
–57
.6.
Vu
, D. K.
, Yan
, A. M.
, and Nguyen-Dang
, H.
, 2004, “A Primal-Dual Algorithm for Shakedown Analysis of Structures
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 193
, pp. 4663
–4674
.7.
Staat
, M.
, and Heitzer
, M.
, 2001, “LISA a European Project for FEM-Based Limit and Shakedown Analysis
,” Nucl. Eng. Des.
0029-5493, 206
, pp. 151
–166
.8.
Seshadri
, R.
, 1995, “Inelastic Evaluation of Mechanical and Structural components Using the Generalized Local Stress Strain Method of Analysis
,” Nucl. Eng. Des.
0029-5493, 153
, pp. 287
–303
.9.
Mackenzie
, D.
, Boyle
, J. T.
, Hamilton
, R.
, and Shi
, J.
, 1996, “Elastic Compensation Method in Shell-Based Design by Analysis
,” Proceedings of the 1996 ASME Pressure Vessels and Piping Conference
, Vol. 338
, pp. 203
–208
.10.
Mackenzie
, D.
, Boyle
, J. T.
, and Hamilton
, R.
, 2000, “The Elastic Compensation Method for Limit and Shakedown Analysis: A Review
,” J. Strain Anal. Eng. Des.
0309-3247, 35
, pp. 171
–188
.11.
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
.12.
Chen
, H. F.
, and Ponter
, A. R. S.
, 2001, “A Method for the Evaluation of a Ratchet Limit and the Amplitude of Plastic Strain for Bodies Subjected to Cyclic Loading
,” Eur. J. Mech. A/Solids
0997-7538, 20
(4
), pp. 555
–571
.13.
Chen
, H. F.
, Ponter
, A. R. S.
, and Ainsworth
, R. A.
, 2006, “The Linear Matching Method applied to the High Temperature Life Integrity of Structures, Part 1: Assessments Involving Constant Residual Stress Fields
,” Int. J. Pressure Vessels Piping
0308-0161, 83
(2
), pp. 123
–135
.14.
Chen
, H. F.
, Ponter
, A. R. S.
, and Ainsworth
, R. A.
, 2006, “The Linear Matching Method Applied to the High Temperature Life Integrity of Structures, Part 2: Assessments Beyond Shakedown Involving Changing Residual Stress Fields
,” Int. J. Pressure Vessels Piping
0308-0161, 83
(2
), pp. 136
–147
.15.
Chen
, H. F.
, and Ponter
, A. R. S.
, 2009, “Structural Integrity Assessment of Super Heater Outlet Penetration Tube Plate
,” Int. J. Pressure Vessels Piping
0308-0161, 86
, pp. 412
–419
.16.
Chen
, H. F.
, 2010, “Lower and Upper Bound Shakedown Analysis of Structures With Temperature-Dependent Yield Stress
,” ASME J. Pressure Vessel Technol.
0094-9930, 132
(1
), p. 011202
.17.
Ponter
, A. R. S.
, and Chen
, H. F.
, 2001, “A Minimum Theorem for Cyclic Load in Excess of Shakedown, With Application to the Evaluation of a Ratchet Limit
,” Eur. J. Mech. A/Solids
0997-7538, 20
, pp. 539
–553
.18.
Koiter
, W. T.
, 1960, “General Theorems for Elastic Plastic Solids
,” in Progress in Solid Mechanics
, J. N.
Sneddon
and R.
Hill
, eds., North-Holland
, Amsterdam
, Vol. 1
, pp. 167
–221
.19.
Melan
, E.
, 1936, “Theorie statisch unbestimmter systeme aus ideal-plastichem baustoff
,” Sitzungsber. Akad. Wiss. Wien, Math.-Naturwiss. Kl., Abt. 2A
0376-2629, 145
, pp. 195
–210
.20.
ASME
, 2007, Boiler and Pressure Vessel Code
, The American Society of Mechanical Engineers
, New York
.Copyright © 2011
by American Society of Mechanical Engineers
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