Analytical and Numerical Investigation of FGM Pressure Vessel Reinforced by Laminated Composite Materials

Document Type: Research Paper

Authors

Department of Mechanical Engineering, University of Kashan

Abstract

In this research, the analytical and numerical investigation of a cylindrical shell made of functionally graded materials (FGMs) reinforced by laminated composite subjected to internal pressure is presented. Using the infinitesimal theory of elasticity, the analytical solution of stress and strain in vessels made of FGMs is studied first. It is assumed that the elasticity modulus follows a power law distribution in the thickness direction and Poisson's ratio considered to be constant for simplicity. The results of the finite element method using ABAQUS software for in-homogeneity constant  in the range of -2 to 2 have been compared with the analytical results. The comparison represents good coincidence between analytical and numerical results and confirms the accuracy of stress and strain solutions presented for vessel made of FGMs. The stress and strain solutions in laminated composite vessels are then investigated. Finally, modeling of FGM vessel reinforced by composite laminates with different lay-up is taken into consideration. The obtained results demonstrate that in the cylindrical shell reinforced by laminated composites, the maximum stress is considerably less than the maximum stress in the pressure vessels made of just composites or FGMs.

Keywords

[1] Adali S., Verijenko V.E., Tabakov P.Y., Walker M., 1995, Optimization of multilayered composite pressure vessels using exact elasticity solution, ASME-Publications-PVP 302:203-212.
[2] Mackerle J., 1999, Finite elements in the analysis of pressure vessels and piping, an addendum, International Journal of Pressure Vessels and Piping 76(7):461-485.
[3] Mackerle J., 2002, Finite elements in the analysis of pressure vessels and piping, an addendum: a bibliography, International Journal of Pressure Vessels and Piping 79(1):1-26.
[4] Mackerle J., 2005, Finite elements in the analysis of pressure vessels and piping, an addendum: A bibliography, International Journal of Pressure Vessels and Piping 82(7):571-592.
[5] Kabir M.Z., 2000, Finite element analysis of composite pressure vessels with a load sharing metallic liner, Composite Structures 49(3):247-255.
[6] Xia M., Takayanagi H., Kemmochi K., 2001, Analysis of multi-layered filament-wound composite pipes under internal pressure, Composite Structures 53(4):483-491.
[7] Parnas L., Nuran K., 2002, Design of fiber-reinforced composite pressure vessels under various loading conditions, Composite structures 58(1):83-95.
[8] Hocine A., Chapelle D., Boubakar M. L., Benamar A., Bezazi A., 2009, Experimental and analytical investigation of the cylindrical part of a metallic vessel reinforced by filament winding while submitted to internal pressure, International Journal of Pressure Vessels and Piping 86(10):649-655.
[9] Baoping C., Liu Y., Liu Z., Tian X., Ji R., Li H., 2011, Reliability-based load and resistance factor design of composite pressure vessel under external hydrostatic pressure, Composite Structures 93(11):2844-2852.
[10] Dai H.L., Fu Y.M., Dong Z.M., 2006, Exact solution for functionally graded pressure vessels in a uniform magnetic field, International Journal of Solids and Structures 43:5570-5580.
[11] Shariyat M., Nikkhah M., Kazemi R., 2011, Exact and numerical elastodynamic solutions for thick-walled functionally graded cylinders subjected to pressure shocks, International Journal of Pressure Vessels and Piping 88(2): 75-87.
[12] Ghorbanpour Arani A., Loghman A., Shajari A.R., Amir S., 2010, Semi-analytical solution of magneto-thermo-elastic stresses for functionally graded variable thickness rotating disks, Journal of Mechanical Science and Technology 24: 2107-2118.
[13] Ghorbanpour Arani A., Amir S., 2011, Magneto-thermo-elastic stresses and perturbation of magnetic field vector in a thin functionally graded rotating disk, Journal of Solid Mechanics 3(4): 392-407.
[14] Tutuncu N., Murat O., 2001, Exact solutions for stresses in functionally graded pressure vessels, Composites Part B: Engineering 32(8): 683-686.
[15] Tutuncu N., 2007, Stresses in thick-walled FGM cylinders with exponentially-varying properties, Engineering Structures 29(9):2032-2035.
[16] Tsai S.W., 1988, Composites Design, 4th edition, Think Composites.