Pressure vessels covered with overlaying layer or coating are widely applied due to its strong heat resistance, corrosion resistance, and load-carrying capacity. However, limited work has been reported on investigating the thermomechanical behavior of a pressure vessel with a functionally graded material (FGM) coating. In this study, a closed-form analytical solution was first derived for calculating the stress distribution in a pressure vessel with an FGM coating subjected to an internal pressure and a thermal load. Afterwards, a numerical solution was also established for validating the analytical solution using finite element (FE) method. It was found out that the analytical solution agreed well with the numerical ones, and the thermomechanical properties of FGM coating were also discussed in detail. This work would be helpful for better understanding and scientific design of pressure vessels with an FGM coating or related thin-walled structures.
Issue Section:
Design and Analysis
References
1.
Xuan
, F. Z.
, Chen
, J. J.
, Wang
, Z. D.
, and Tu
, S. T.
, 2009
, “Time-Dependent Deformation and Fracture of Multi-Material Systems at High Temperature
,” Int. J. Pressure Vessels Piping
, 86
(9
), pp. 604
–615
.2.
Abdelsalam
, O. R.
, and Sedaghati
, R.
, 2014
, “Coupled Thermomechanical Analysis of Autofrettaged and Shrink-Fitted Compound Cylindrical Shells
,” ASME J. Pressure Vessel Technol.
, 136
(1
), p. 011204
.3.
Davies
, G.
, Hitchings
, D.
, and Ankersen
, J.
, 2006
, “Predicting Delamination and Debonding in Modern Aerospace Composite Structures
,” Compos. Sci. Technol.
, 66
(6
), pp. 846
–854
.4.
Dag
, S.
, and Ilhan
, K. A.
, 2008
, “Mixed-Mode Fracture Analysis of Orthotropic Functionally Graded Material Coatings Using Analytical and Computational Methods
,” ASME J. Appl. Mech.
, 75
(5
), p. 051104
.5.
Miyamoto
, Y.
, Kaysser
, W.
, Rabin
, B.
, Kawasaki
, A.
, and Ford
, R.
, 1999
, Functionally Graded Materials: Design, Processing and Applications
, Kluwer Academic Publishers
, Boston
.6.
Gibson
, I.
, Rosen
, D. W.
, and Stucker
, B.
, 2009
, Additive Manufacturing Technologies: Rapid Prototyping to Direct Digital Manufacturing
, Springer
, New York.7.
Shao
, Z.
, and Ma
, G.
, 2008
, “Thermo-Mechanical Stresses in Functionally Graded Circular Hollow Cylinder With Linearly Increasing Boundary Temperature
,” Compos. Struct.
, 83
(3
), pp. 259
–265
.8.
Jabbari
, M.
, Mohazzab
, A. H.
, and Bahtui
, A.
, 2009
, “One-Dimensional Moving Heat Source in a Hollow FGM Cylinder
,” ASME J. Pressure Vessel Technol.
, 131
(2
), p. 021202
.9.
Malekzadeh
, P.
, and Heydarpour
, Y.
, 2012
, “Response of Functionally Graded Cylindrical Shells Under Moving Thermo-Mechanical Loads
,” Thin-Walled Struct.
, 58
, pp. 51
–66
.10.
Khazaeinejad
, P.
, Najafizadeh
, M. M.
, Jenabi
, J.
, and Isvandzibaei
, M. R.
, 2010
, “On the Buckling of Functionally Graded Cylindrical Shells Under Combined External Pressure and Axial Compression
,” ASME J. Pressure Vessel Technol.
, 132
(6
), p. 064501
.11.
Bayat
, M.
, Sahari
, B.
, Saleem
, M.
, Ali
, A.
, and Wong
, S.
, “Thermoelastic Solution of a Functionally Graded Variable Thickness Rotating Disk With Bending Based on the First-Order Shear Deformation Theory
,” Thin-Walled Struct.
, 47
(5
), pp. 568
–582
.12.
Naj
, R.
, Sabzikar
, B. M.
, and Eslami
, M.
, 2008
, “Thermal and Mechanical Instability of Functionally Graded Truncated Conical Shells
,” Thin-Walled Struct.
, 46
(1
), pp. 65
–78
.13.
Carrera
, E.
, and Soave
, M.
, 2011
, “Use of Functionally Graded Material Layers in a Two-Layered Pressure Vessel
,” ASME J. Pressure Vessel Technol.
, 133
(5
), p. 051202
.14.
You
, L.
, Ou
, H.
, and Zheng
, Z.
, 2007
, “Creep Deformations and Stresses in Thick-Walled Cylindrical Vessels of Functionally Graded Materials Subjected to Internal Pressure
,” Compos. Struct.
, 78
(2
), pp. 285
–291
.15.
Sadeghian
, M.
, and Toussi
, H. E.
, 2014
, “Axisymmetric Elastoplasticity of a Temperature-Sensitive Functionally Graded Cylindrical Vessel
,” ASME J. Pressure Vessel Technol.
, 136
(6
), p. 061203
.16.
Chen
, Y.
, and Lin
, X.
, 2008
, “Elastic Analysis for Thick Cylinders and Spherical Pressure Vessels Made of Functionally Graded Materials
,” Comput. Mater. Sci.
, 44
(2
), pp. 581
–587
.17.
Eslami
, M.
, Babaei
, M.
, and Poultangari
, R.
, 2005
, “Thermal and Mechanical Stresses in a Functionally Graded Thick Sphere
,” Int. J. Pressure Vessels Piping
, 82
(7
), pp. 522
–527
.18.
Horgan
, C.
, and Chan
, A.
, 1999
, “The Pressurized Hollow Cylinder or Disk Problem for Functionally Graded Isotropic Linearly Elastic Materials
,” J. Elasticity
, 55
(1
), pp. 43
–59
.19.
Tutuncu
, N.
, 2007
, “Stresses in Thick-Walled FGM Cylinders With Exponentially Varying Properties
,” Eng. Struct.
, 29
(9), pp. 2032
–2045
.20.
Santos
, H.
, Mota
, S. C. M.
, Mota
, S. C. A.
, and Reddy
, J.
, 2008
, “A Semi-Analytical Finite Element Model for the Analysis of Cylindrical Shells Made of Functionally Graded Materials Under Thermal Shock
,” Compos. Struct.
, 86
(1–3
), pp. 10
–21
.21.
Tutuncu
, N.
, and Ozturk
, M.
, 2001
, “Exact Solutions for Stresses in Functionally Graded Pressure Vessels
,” Composites, Part B
, 32
(8
), pp. 683
–686
.22.
Tarn
, J. Q.
, 2001
, “Exact Solutions for Functionally Graded Anisotropic Cylinders Subjected to Thermal and Mechanical Loads
,” Int. J. Solids Struct.
, 38
(46–47
), pp. 8189
–8206
.23.
Rohsenow
, W. M.
, Hartnett
, J. P.
, and Cho
, Y. I.
, 1998
, Handbook of Heat Transfer
, McGraw-Hill
, New York
.24.
Jabbari
, M.
, Sohrabpour
, S.
, and Eslami
, M.
, 2002
, “Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder Due to Radially Symmetric Loads
,” Int. J. Pressure Vessels Piping
, 79
(7
), pp. 493
–497
.25.
Peng
, X.
, and Li
, X.
, 2010
, “Thermo-Elastic Analysis of a Cylindrical Vessel of Functionally Graded Materials
,” Int. J. Pressure Vessels Piping
, 87
(5
), pp. 203
–210
.26.
Zhang
, Q.
, Wang
, Z. W.
, Tang
, C. T.
, Hu
, D. P.
, Liu
, P. Q.
, and Xia
, L. Z.
, 2012
, “Analytical Solution of the Thermo-Mechanical Stresses in a Multilayered Composite Pressure Vessel Considering the Influence of the Closed Ends
,” Int. J. Pressure Vessels Piping
, 98
, pp. 102
–110
.27.
Xia
, M.
, Kemmochi
, K.
, and Takayanagi
, H.
, 2001
, “Analysis of Filament-Wound Fiber-Reinforced Sandwich Pipe Under Combined Internal Pressure and Thermo-Mechanical Loading
,” Compos. Struct.
, 51
(3
), pp. 273
–283
.28.
Wu
, C. P.
, and Kuo
, C. H.
, 2013
, “A Unified Formulation of PVD-Based Finite Cylindrical Layer Methods for Functionally Graded Material Sandwich Cylinders
,” Appl. Math. Modell.
, 37
(3
), pp. 916
–938
.29.
ANSYS
, 2009
, Theory Manual 2009, Release 12.1 Documentation
, ANSYS, Inc.
, Canonsburg, PA
.Copyright © 2016 by ASME
You do not currently have access to this content.
