Closed-form formulations of 2D higher-order shear deformation theories for the thermomechanical and free vibration analysis of simply supported, cross-ply laminated sandwich, doubly curved thick shells are presented. One of the higher-order shear deformation theories accounts for the effects of both transverse shear strains/stresses and the transverse normal strain/stress, while the other includes only the effects of the transverse shear deformation. Numerical results for thermal and mechanical load cases of laminated composite and sandwich thick shell panels are compared with the available analytical solutions, and it is believed that solutions for thermal loading will serve as benchmarks in future. Natural frequencies of laminated sandwich shells are also presented.
Kant, T. and Khare, R.K. (1994). Finite Element Thermal Stress Analysis of Composite Laminates using a Higher-order Theory , J. Thermal Stresses, 17: 229-255 .
2.
Khdeir, A.A. and Reddy, J.N. (1991). Thermal Stresses and Deflections of Cross-ply Laminated Plates using Refined Plate Theories , J. Thermal Stresses, 14(4): 419-438 .
3.
Khdeir, A.A. , Rajab, M.D. and Reddy, J.N. (1992). Thermal Effects on the Response of Cross-ply Laminated Shallow Shells , Int. J. Solids Struct., 29(5): 653-667 .
4.
Pao, Y.C. (1972). On Higher-order Theory for Thermoelastic Analysis of Heterogeneous Orthotropic Cylindrical Shells , In: Proceedings of Southern Conference on Theoretical and Applied Mechanics, 6th Tampa, Fla., Mar. 23, 24, Univ. of South Florida, pp. 787-806 .
5.
Flugge, W. (1967). Stresses in Shells, Springer-verlag, New York .
6.
Kant, T. (1979). Thermal Stresses in Non-homogeneous Shells of Revolution: Theory and Analysis, Tech. Rep. IIT-B/CE-79-2, Dept. of Civil Engineering, Indian Institute of Technology, Bombay .
7.
Kant, T. (1981) Thermoelasticity of Thick, Laminated Orthotropic Shells , In: Proceedings of International Conference on Structural Mechanics in Reactor Technology: Vol. M: Methods for Structural Analysis, North Holland, Amsterdam, The Netherlands.
8.
Kant, T. and Patil, S. (1979). Numerical Results - Analysis of Pressure Vessels using Various Shell Theories, Tech. Rep. Numerical Analysis of Pressure Vessels using Various Shell Theories, Dept. of Civil Engineering, Indian Institute of Technology, Bombay , pp. 149-331.
9.
Kant, T. (1979). Numerical Analysis of Pressure Vessels using Various Shell Theories, Tech. Rep. IIT-B/CE-79-1, Dept. of Civil Engineering, Indian Institute of Technology, Bombay .
Kabir, H.R.H. and Kennedy, J.B. (1994). Analysis of Moderately Thick and Deep Shells Subjected to Thermal and Mechanical Loading , Computers and Structures, 53(6): 1419-1426 .
He, J.-F. (1995). Thermoelastic Analysis of Laminated Plates Including Transverse Shear Deformation Effects , Composite Structures, 30: 51-59 .
14.
Ali, J.S.M. , Bhasker, K. and Varadan, T.K. (1999). A New Theory for Accurate Thermal/Mechanical Flexural Analysis of Symmetric Laminated Plates , Composite Structures, 45: 227-232 .
15.
Verijenko, V.E. , Tauchert, T.R. , Shaikh, C. and Tabakov, P.Y. (1999). Refined Theory of Laminated Anisotropic Shells for the Solution of Thermal Stress Problems , J. Thermal Stresses, 22: 75-100 .
16.
Zenkour, A.M. and Fares, M.E. (2000). Thermal Bending Analysis of Composite Laminated Cylindrical Shells using a Refined First-order Theory , J. Thermal Stresses, 23: 505-526 .
17.
Patel, B.P. , Ganapathi, M. and Makhecha, D.P. (2002). Hygrothermal Effects on the Structural Behaviour of Thick Composite Laminates using Higher-order Theory , Composite Structures, 56: 25-34 .
18.
Khare, R.K. , Kant, T. and Garg, A.K. (2003). Closed-form Thermo-mechanical Solutions of Higher-order Theories of Cross-ply Laminated Shallow Shells , Composite Structures, 59: 313-340 .
Liew, K.M. , Lim, C.W. and Kitipornchai, S. (1997). Vibration of Shallow Shells: A Review with Bibliography , Applied Mechanics Review, 50(8): 431-444 .
21.
Qatu, M.S. (2002). Recent Research Advances in the Dynamic Behavior of Shells: 1989-2000, Part 1: Laminated Composite Shells , Applied Mechanics Review, 55(4): 325-350 .
22.
Qatu, M.S. (2002). Recent Research Advances in the Dynamic Behavior of Shells: 1989-2000, Part 2: Homogeneous Shells , Applied Mechanics Review, 55(5): 415-434 .
23.
Cook, R.D. , Malkus, D.S. , Plesha, M.E. and Witt, R.J. (2000). Concepts and Applications of Finite Element Analysis, John Wiley and Sons, New York .
24.
Reddy, J.N. (1984). Energy and Variational Methods in Applied Mechanics, John Wiley and Sons, New York .
25.
Pagano, N.J. (1970). Exact Solutions for Rectangular Bi-directional Composite and Sandwich Plates , J. Composite Materials, 4: 20-35 .
26.
Reddy, T.S. (1992). Three Dimensional Elastostatic Analysis of Fibre-reinforced Composite Laminated Shells, MTech Dissertation, IIT Bombay, Mumbai, India.
27.
Reddy, J.N. (1996). Mechanics of Laminated Composite Plates, Theory and Analysis, CRC Press, Boca Raton .
28.
Kant, T. and Swaminathan, K. (2001). Analytical Solutions for Free Vibration of Laminated Composite and Sandwich Plates Based on a Higher-order Refined Theory , Composite Structures, 53: 73-85 .
