[1] B. Derisi, “Development of thermoplastic composite tubes for large deformation,” PhD Thesis, Concordia University, Montreal, Canada, 2008. [2] S. G. Lekhnitskii, Theory of elasticity of an anisotropic elastic body, San Francisco/Moscow: Holden Day/Mir Publishers, 1981. [3] I. Sheinman, and S. Weissman, “Coupling between symmetric and antisymmetric modes in shells of revolution,” Journal Composite Materials, vol. 21, no. 11, pp. 988-1007, 1987. [4] L. Kollar, and G. S. Springer, “Stress analysis of anisotropic laminated cylinders and cylindrical segments,” International Journal of Solids and Structures, vol. 29, no. 12, pp. 1499-1517, 1992. [5] G. A. Kardomateas, “Buckling of thick orthotropic cylindrical shells under external pressure,” Journal of Applied Mechanics (ASME), vol. 60, pp. 195-202, 1993. [6] M. Miki, and Y. Sugiyama, “Optimum design of laminated composite plates using lamination parameters,” AIAA Journal, vol. 31, no. 5, pp. 921-922, 1993. [7] J. Ye, and K. P. Soldatos, “Three-dimensional stress analysis of orthotropic and cross-ply laminated hollow cylinders and cylindrical panels,” Computer Methods in Applied Mechanics and Engineering, vol. 117, no. 3-4, pp. 331-351, 1994. [8] N. N. Huang, “Influence of shear correction factors in the higher-order shear deformation laminated shell theory,” International Journal of Solids and Structures, vol. 31, no. 9, pp. 1263-77, 1994. [9] C. Jolicoeur, and A. Cardou, “Analytical solution for bending of coaxial orthotropic cylinders,” Journal of Engineering Mechanics, vol. 120, no. 12, pp. 2556-2574, 1994. [10] S. Di, and H. Rothert, “Solution of a laminated cylindrical shell using an unconstrained third-order theory,” Computers and Structures, vol. 69, pp. 291-303, 1998. [11] Y. Basar, and Y. Ding, “Interlaminar stress analysis of composites: layer-wise shell finite elements including transverse strains,” Composites Part B: Engineering, vol. 5, no. 5, pp. 485-99, 1995. [12] G. A. Kardomateas, “Benchmark three-dimensional elasticity solutions for the buckling of thick orthotropic cylindrical shells,” Composites Part B: Engineering, vol. 278, pp. 569-580, 1996. [13] B. Brank, and E. Carrera, “A family of shear-deformable shell finite elements for composite structures,” Computers and Structures, vol. 76, no. 1-3, pp. 287-97, 2000. [14] G. A. Kardomateas, “Elasticity solutions for a sandwich orthotropic cylindrical shell under external pressure, internal pressure and axial force,” AIAA Journal, vol. 39, no. 4, pp. 713-719, 2001. [15] R. K. Khare, T. Kant, and A. K. Garg, “Closed-form thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells,” Computers and Structures, vol. 59, pp. 313-40, 2003. [16] J. H. Han, G. A. Kardomateas, and G. J. Simitses, “Elasticity, shell theory and finite element results for the buckling of long sandwich cylindrical shells under external pressure,” Composites Part B: Engineering, vol. 35, no. 6, pp. 591-598, 2004. [17] S. T. IJsselmuiden, M. M. Abdalla, and Z. Gurdal, “Implementation of strength based failure criteria in the lamination parameter design space,” AIAA Journal, vol. 46, no. 9, pp. 1826-1834, 2008. [18] N. Silvestre, “Non-classical effects in FRP composite tubes,” Composites Part B: Engineering, vol. 40, no. 8, pp. 681-697, 2009. [19] S. T. IJsselmuiden, M. M. Abdalla, O. Seresta, and Z. Gurdal, “Multi-step blended stacking sequence design of panel assemblies with buckling constraints,” Composites Part B: Engineering, vol. 40, no. 4, pp. 329-336, 2009. [20] B. Derisi, S. V. Hoa, D. Xu, M. Hojjati, and R. Fews, “Composite tube exhibiting large deformation under bending,” Journal of Composite Materials, vol. 44, no. 16, pp. 2005-2020, 2010. [21] B. Derisi, S. V. Hoa, D. Xu, M. Hojjati, and R. Fews, “Mechanical behavior of Carbon/ PEKK thermoplastic composite tube under bending load,” Journal of Thermoplastic Composite Materials, vol. 24, no. 1, pp. 29-49, 2011. [22] F. Shadmehri, B. Derisi, and S. V. Hoa, “On bending stiffness of composite tubes,” Composite Structures, vol. 93, no. 9, pp. 2173-2179, 2011. [23] L. Pickett, and V. Dayal, “Effect of tube geometry and ply-angle on energy absorption of a circular glass/epoxy crush tube-A numerical study,” Composites Part B: Engineering, vol. 43, no. 8, pp. 2960-2967, 2012. [24] C. Zhang, S. V. Hoa, and P. Liu, “A method to analyze the pure bending of tubes of cylindrically anisotropic layers with arbitrary angles including 0° or 90°,” Composite Structures, vol. 109, pp. 57-67, 2014. [25] X. S. Sun, V. B. C. Tan, Y. Chen, L. B. Tan, R. K. Jaiman, and T. E. Tay, “Stress analysis of multi-layered hollow anisotropic composite cylindrical structures using the homogenization method,” Acta Mechanica, vol. 225, no. 6, pp. 1649-1672, 2014. [26] M. Menshykova, and I. A. Guz, “Stress analysis of layered thick-walled composite pipes subjected to bending loading,” International Journal of Mechanical Sciences, vol. 88, pp. 289-299, 2014. [27] C. Capela, J. A. M. Ferreira, T. Febra, and J. D. Costa, “Fatigue strength of tubular carbon fiber composites under bending/torsion loading,” International Journal of Fatigue, vol. 70, pp. 216-222, 2015. [28] A. G. Arani, E. Haghparast, Z. K. Maraghi, and S. Amir, “Static stress analysis of carbon nano-tube reinforced composite (CNTRC) cylinder under non-axisymmetric thermo-mechanical loads and uniform electro-magnetic fields,” Composites Part B: Engineering, vol. 68, pp. 136-145, 2015. [29] T. Nowak, and J. Schmidt, “Theoretical, numerical and experimental analysis of thick walled fiber metal laminate tube under axisymmetric loads,” Composite Structures, vol. 131, pp. 637-644, 2015. [30] A. K. Jonnalagadda, A. S. Sawant, S. R. Rohde, B. V. Sankar, and P. G. Ifju, “An analytical model for composite tubes with bend-twist coupling,” Composite Structures, vol. 131, pp. 578-584, 2015. [31] J. Mackerle, “Finite elements in the analysis of pressure vessels and piping, an addendum: a bibliography (2001-2004),” International Journal of Pressure Vessels and Piping, vol. 82, pp. 571-592, 2005. [32] R. L. Hinrichsen, and A. N. Palazotto, “Nonlinear finite element analysis of thick composite plates using a cubic spline function,” AIAA Journal, vol. 24, no. 11, pp. 1836-1842, 1986. [33] J. M. Hamdallah, and J. J. Engblom, “Finite element plate formulation including transverse shear effects for representing composite shell structures,” Journal of Reinforced Plastics and Composites, vol. 9, no. 3, pp. 226-239, 1990. [34] S. J. Hossain, “A finite element formulation for the analysis of laminated composite shells,” Computers and Structures, vol. 82, no. 20-21, pp. 1623-38, 2004. [35] G. Kress, R. Rooz, M. Barbezart, C. Dranfeld, and P. Ermanni, “Model for interlaminar normal stress in singly curved laminates,” Computers and Structures, vol. 69, no. 4, pp. 458-69, 2005. [36] C. M. C. Roque, and A. J. M. Ferreira, “New developments in the radial basis functions analysis of composite shells,” Composite Structures, vol. 87, pp. 141-50, 2009. [37] R. Salahifar, and M. Mohareb, “Finite element for cylindrical thin shells under harmonic forces,” Finite Elements in Analysis and Design, vol. 52, pp. 83-92, 2012. [38] C. Zhang, and S. V. Hoa, “A limit-based approach to the stress analysis of cylindrically orthotropic composite cylinders (0/90) subjected to pure bending,” Composite Structures, vol. 94, no. 8, pp. 2610-2619, 2012. [39] Y. Bai, W. Ruan, P. Cheng, B. Yu, and W. Xu, “Buckling of reinforced thermoplastic pipe (RTP) under combined bending and tension,” Ships and Offshore Structures, vol. 9, no. 5, pp. 525-539, 2014. [40] D. H. Roubins, and J. N. Reddy, “Modelling of thick composites using a layerwise laminate theory,” International Journal for Numerical Methods in Engineering, vol. 36, pp. 655-677, 1993. [41] S. Li, R. Wang, Z. Luo, and X. Hua, “An analytic solution for interlaminar stresses in a fiber reinforced double-layered circular cylindrical shell,” Acta Mechanica Sinica, vol. 1, no. 2, pp. 352-64, 1985. [42] X. Wang, and S. J. Li, “Analytic solution for interlaminar stresses in a multi laminated cylindrical shell under thermal and mechanical loads,” International Journal of Solids and Structures, vol. 29, no. 10, pp. 1293-302, 1992. [43] F. Fraternali, and J. N. Reddy, “A penalty model for the analysis of laminated composite shells,” International Journal of Solids and Structures, vol. 30, no. 24, pp. 3337-55, 1993. [44] M. Cho, and M-H. Kim, “A post process method using a displacement field of higher-order shell theory,” Computers and Structures, vol. 34, no. 2, pp. 185-96, 1996. [45] M. Cho, K-O. Kim, and M-H. Kim, “Efficient higher-order shell theory for laminated composites,” Computers and Structures, vol. 34, no. 2, pp. 197-212, 1996. [46] S. R. Rao, and N. Ganesan, “Interlaminar stresses in spherical shells,” Computers and Structures, vol. 65, no. 4, pp. 575-83, 1997. [47] C-Y. Lee, and C-H. Shu, “Layer reduction technique in the interlaminar shear stress analysis of laminated cylindrical shells,” Journal of the Chinese Society of Mechanical Engineers, vol. 19, no. 4, pp. 433-439, 1998. [48] C. P. Wu, and Y. W. Chi, “Asymptotic solutions of laminated composite shallow shells with various boundary conditions,” Acta Mechanica, vol. 132, pp. 1-18, 1999. [49] B. Brank, and E. Carrera, “A family of shear-deformable shell finite elements for composite structures,” Computers and Structures, vol. 76, no. 1-3, pp. 287-97, 2000. [50] R. Tanov, and A. Tabiei, “Adding transverse normal stresses to layered shell finite elements for the analysis of composite structures,” Computers and Structures, vol. 76, no. 4, pp. 338-44, 2006. [51] W. Zhen, and C. Wanji, “A global-local higher-order theory for multilayered shells and the analysis of laminated cylindrical shell panels,” Composite Structures, vol. 84, pp. 350-61, 2008. [52] H. Yazdani Sarvestani, and M. Yazdani Sarvestani, “Interlaminar stress analysis of general composite laminates,” International Journal of Mechanical Sciences, vol. 53, no. 11, pp. 958-967, 2011. [53] H. Yazdani Sarvestani, and M. Yazdani Sarvestani, “Free-edge stress analysis of general composite laminates under extension, torsion and bending,” Applied Mathematical Modelling, vol. 36, no. 4, pp. 1570-1588, 2012. [54] D. Mousanezhad V., H. Yazdani Sarvestani, and A. Nosier, “Stress analysis in symmetric composite laminates subjected to shearing loads,” International Journal of Mechanical Sciences, vol. 75, pp. 16-25, 2013. [55] M. S. Qatu, “Theories and analyses of thin and moderately thick laminated composite curved beams,” International Journal of Solids and Structures, vol. 30, no. 20, pp. 2743-2756, 1993. [56] C. Ossadzow, P. Muller, and M. Touratier, “A general doubly curved laminate shell theory,” Composite Structures, vol. 32, no. 1-4, pp. 299-312, 1995. [57] C. Zhang, L. B. Lessard, and J. A. Nemes, “A closed-form solution for stresses at curved free edges in composite laminates: A variational approach,” Composites Science and Technology, vol. 57, no. 9-10, pp. 1341-1354, 1997. [58] A. M. Yu, and G. H. Nie, “Explicit solutions for shearing and radial stresses in curved beams,” Mechanics Research Communications, vol. 32, no. 3, pp. 323-331, 2005. [59] J. Dryden, “Bending of inhomogeneous curved bars,” International Journal of Solids and Structures, vol. 44, no. 11-12, pp. 4158-4166, 2007. [60] A. S. Oktem, and R. A. Chaudhuri, “Fourier analysis of thick cross-ply Levy type clamped doubly-curved panels,” Composite Structures, vol. 80, no. 4, pp. 489-503, 2007. [61] R. Roos, G. Kress, M. Barbezat, and P. Ermanni, “Enhanced model for interlaminar normal stress in singly curved laminates,” Composite Structures, vol. 80, no. 3, pp. 327-333, 2007. [62] R. Roos, G. Kress, M. Barbezat, and P. Ermanni, “A post-processing method for interlaminar normal stresses in doubly curved laminates,” Composite Structures, vol. 81, no. 3, pp. 463-470, 2007. [63] M. T. Piovan, S. Domini, and J. M. Ramirez, “In-plane and out-of-plane dynamics and buckling of functionally graded circular curved beams,” Composite Structures, vol. 94, no. 11, pp. 3194-3206, 2012. [64] M. Hajianmaleki, and M. S. Qatu, “Static and vibration analyses of thick, generally laminated deep curved beams with different boundary conditions,” Composites Part B: Engineering, vol. 43, no. 4, pp. 1767-1775, 2012. [65] E. Arslan, and A. N. Eraslan, “Bending of graded curved bars at elastic limits and beyond,” International Journal of Solids and Structures, vol. 50, no. 5, pp. 806-814, 2013. [66] M. Wang, and Y. Liu, “Elasticity solutions for orthotropic functionally graded curved beams,” European Journal of Mechanics - A/Solids, vol. 37, pp. 8-16, 2013. [67] M. Z. Asik, E. Dural, M. Yetmez, and T. Uzhan, “A mathematical model for the behavior of laminated uniformly curved glass beams,” Composites Part B: Engineering, vol. 58, pp. 593-604, 2014. [68] M. Arefi, “Elastic solution of a curved beam made of functionally graded materials with different cross sections,” Steel and Composite Structures, vol. 18, no. 3, pp. 659-672, 2015. [69] V. R. Kar, and S. K. Panda, “Thermoelastic analysis of functionally graded doubly curved shell panels using nonlinear finite element method,” Composite Structures, vol. 129, pp. 202-212, 2015. [70] O. Gohner, “Schubspannungsverteilung im Querschnitt einer Schraubenfeder,” Archive of Applied Mechanics, vol. 1, pp. 619-664, 1930. [71] T. Von Karman, “Uber die Formanderung Dunnwandiger Rohre, insbesondere federnder Ausgleichsrochre,” VDI-Zeitdchriff, vol. 55, 1911. [72] A. Kornecki, “Stress distribution in a pressurized thick-walled toroidal shell- a three dimensional analysis,” College of Aeronautics, Cranfield, England, Note 137, 1963. [73] D. J. McGill, and I. H. Rapp, “Axismmetric stresses and displacements in thick-walled elastic torus,” Journal of the Engineering Mechanics Division, vol. 99, no. 3, pp. 629-633, 1973. [74] H. A. Lang, “The theory of toroidal elasticity,” International Journal of Structural Mechanics and Material Science, vol. 26, pp. 289-357, 1989. [75] H. A. Lang, “Stress analysis of pressurized elbow for nuclear components using toroidal elasticity,” Fourth International Conference on Pressure Vessel Technology, London, vol. 2, pp. 251-261, 1980. [76] H. A. Lang, “Toroidal elastic stress field for pressurized elbows and pipe bends,” International Journal of Pressure Vessels and Piping, vol. 15, pp. 291-305, 1984. [77] H. A. Lang, “In-plane bending of a curved pipe or toroidal tube acted on by end couples,” International Journal of Pressure Vessels and Piping, vol. 15, pp. 27-35, 1984. [78] H. A. Lang, “Stress field for a curved pipe subjected to in-plane end couples,” International Journal of Pressure Vessels and Piping, vol. 15, pp. 93-104, 1984. [79] H. A. Lang, “Stress field for an in-plane and shear forces acting on a 90° elbow or pipe bend,” International Journal of Pressure Vessels and Piping, vol. 16, pp. 263-284, 1984. [80] H. A. Lang, “Stress field for a normal forces acting on the end of a 90° elbow or pipe bend,” International Journal of Pressure Vessels and Piping, vol. 17, pp. 163-172, 1984. [81] H. A. Lang, “Toroidal elasticity stress state for an end shear force acting on an elbow,” International Journal of Pressure Vessels and Piping, vol. 41, pp. 359-376, 1990. [82] H. A. Lang, “Toroidal elasticity stress state for an end normal force acting on an elbow,” International Journal of Pressure Vessels and Piping, vol. 48, pp. 209-227, 1991. [83] H. A. Lang, “Out-of-plane bending of an elbow or pipe bend under an end loaded shear force,” International Journal of Pressure Vessels and Piping, vol. 15, pp. 205-212, 1984. [84] H. A. Lang, “Twist-bending of a 90° elbow or pipe bend,” International Journal of Pressure Vessels and Piping, vol. 16, pp. 67-74, 1984. [85] D. Redekop, “A displacement solution in toroidal elasticity,” International Journal of Pressure Vessels and Piping, vol. 51, pp. 1-21, 1992. [86] D. Redekop, and Y. Zhu, “A computer program for stresses in a thick-walled 90° elbow,” Computers and Structures, vol. 45, no. 4, pp. 805-812, 1992. [87] Y. Zhu, and D. Redekop, “An out-of-plane displacement solution in toroidal elasticity,” International Journal of Pressure Vessels and Piping, vol. 58, no. 3, pp. 309-319, 1994. [88] Y. Zhu, and D. Redekop, “Band loading of a thick-walled toroidal shell,” International Journal of Pressure Vessels and Piping, vol. 61, no. 1, pp. 99-109, 1995. [89] H. Reisman, Elasticity theory and applications, New York: John Wily & Sons, 1980. [90] Y. C. Fung, and P. Tong, Classical and computational solid mechanics, New Jersey: World Scientific, 2001. [91] C. T. Herakovich, Mechanics of fibrous composites, New York: John Wiley & Sons, 1998. [92] H. Yazdani Sarvestani, S. V. Hoa, and M. Hojjati, “Stress analysis of thick orthotropic cantilever tubes under transverse loading,” Advanced Composite Materials, 2016:1-28. [93] F. Rooney, and M. Ferrari, “Tension, bending, and flexure of functionally graded cylinders,” International Journal of Solids and Structures, vol. 38, no. 3, pp. 413-421, 2001. [94] J. Tarn, “Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads,” International Journal of Solids and Structures, vol. 38, no. 46-47, pp. 8189-8206, 2001. [95] V. V. Zozulya, and C. Zhang, “A high order theory for functionally graded axisymmetric cylindrical shells,” International Journal of Mechanical Sciences, vol. 60, no. 1, pp. 12-22, 2012. [96] H. Yazdani Sarvestani, “Effects of layup sequences on stresses of thick composite cantilever tubes,” Advanced Composite Materials, pp. 1:21, 2015. [97] H. Yazdani Sarvestani, S. V. Hoa, and M. Hojjati, “Effects of shear loading on stress distributions at sections in thick composite tubes,” Composite Structures, vol. 140, pp. 433-445, 2016. [98] X. Ji, M. Zhang, H. Kang, J. Qian, and H. Hu, “Effect of cumulative seismic damage to steel tube-reinforced concrete composite columns,” Earthquakes and Structures, vol. 7, no. 2, pp. 179-19, 2014. [99] H. Yazdani Sarvestani, S. V. Hoa, and M. Hojjati, “Three-dimensional Stress Analysis of Orthotropic Curved Tubes-Part 1: Single-layer Solution,” European Journal of Mechanics - A/Solids, 2016. [100] L. Jodar, and E. Navarro, “Solving coupled systems of linear second-order differential equations knowing a part of the spectrum of the companion matrix,” Journal of Computational and Applied Mathematics, vol. 39, no. 1, pp. 115-119, 1992. [101] L. G. Brazier, “On the flexure of thin cylindrical shells and other thin sections,” Proceeding of the royal Society of London A, vol. 116, no. 773, pp. 104–114, 1927. [102] J. T. Boyle, “The finite bending of curved pipes,” International Journal of Solids and Structures, vol. 17, pp. 515-529, 1981. [103] F. A. Emmerling, “Flexible Shells,” Springer Berlin Heidelberg, 1984. [104] S. V. Levyakov, and V. N. Pavshok, “Buckling analysis of flanged curvilinear pipes in pure bending,” International Journal of Pressure Vessels and Piping, vol. 85, no. 5, pp. 306-312, 2008. [105] E. M. M. Fonseca, and F. J. M. Q. De Melo, “Numerical solution of curved pipes submitted to in-plane loading conditions,” Thin-Walled Structures, vol. 48, no. 2, pp. 103-109, 2010. [106] A. M. Kolesnikov, “Large bending deformations of pressurized curved tubes,” Archives of Mechanics, vol. 63, no. 5-6, pp. 507-516, 2011. [107] H. Yudo, and T. Yoshikawa, “Buckling phenomenon for straight and curved pipe under pure bending,” Journal of Marine Science and Technology, vol. 20, no. 1, pp. 94-103, 2015. [108] T. C. T. Ting, “New solution to pressuring, shearing, torsion and extension of cylindrically anisotropic elastic circular tube or bar,” Proceeding of the Royal Society of London A, vol. 455, pp. 3527-3542, 1999. [109] T. Chen, C. T. Chung, and W. L. Lin, “A revisit of a cylindrically anisotropic tube subjected to pressuring, shearing, torsion and extension and a uniform temperature change,” International Journal of Solids and Structures, vol. 37, pp. 5143-5159, 2000. [110] H. G. S. J. Thuis, and V. H. Metz, “The influence of trigger configurations and laminate lay-up on the failure mode of composite crush cylinders,” Composite Structures, vol. 28, no. 2, pp. 131-137, 1994. [111] N. O. Yokoyama, M. V. Donadon, and S. F. M. De Almeida, “A numerical study on the impact resistance of composite shells using an energy based failure model,” Composite Structures, vol. 93, no. 1, pp. 142-152, 2010. [112] S. M. R. Khalili, M. Soroush, A. Davar, and O. Rahmani, “Finite element modeling of low-velocity impact on laminated composite plates and cylindrical shells,” Composite Structures, vol. 93, no. 5, pp. 1363-1375, 2011. [113] M. S. Ismail, J. Purbolaksono, A. Andriyana, C. J. Tan, N. Muhammad, and H. L. Liew, “The use of initial imperfection approach in design process and buckling failure evaluation of axially compressed composite cylindrical shells,” Engineering Failure Analysis, vol. 51, pp. 20-28, 2015. [114] F. Romano, F. Di Caprio, B. Auriemma, and U. Mercurio, “Numerical investigation on the failure phenomena of stiffened composite panels in post-buckling regime with discrete damages,” Engineering Failure Analysis, vol. 56, pp. 116-130, 2015. [115] H. R. Mahdavi, G. H. Rahimi, and A. Farrokhabadi, “Failure analysis of (±55°)9 filament-wound GRE pipes using acoustic emission technique,” Engineering Failure Analysis, vol. 62, pp. 178-187, 2015. [116] R. A. Chaudhuri, “Effects of thickness and fiber misalignment on compression fracture in cross-ply (very) long cylindrical shells under external pressure,” Proceeding of the royal Society of London A, vol. 471, pp. 2180, 2015. [117] J. L. Y. Tan, V. S. Deshpande, and N. A. Fleck, “Failure mechanisms of a notched CFRP laminate under multi-axial loading,” Composites Part A: Applied Science and Manufacturing, vol. 77, pp. 56-66, 2015. [118] H. Yazdani Sarvestani, and M. Hojjati, “Three-dimensional stress analysis of orthotropic curved tubes-part 2: laminate solution,” European Journal of Mechanics - A/Solids, 2016. [119] D. O. Brush, and B. O. Almroth, “Buckling of bars, plates and shells,” McGraw-Hill, Inc, 1975.