Closed-form thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells
Source abstract
Abstract
Closed-form formulations of 2D higher-order shear deformation theories for the thermo-mechanical analysis of simply supported doubly curved cross-ply laminated shells are presented. Formulation includes the Sander's theory for doubly curved shells. Two of the higher-order shear deformation theories account for the effects of both transverse shear strains/stresses and the transverse normal strain/stress, while the third includes only the effects of the transverse shear deformation. In these developments a realistic parabolic distribution of transverse shear strains through the shell thickness is assumed. The temperature variation considered in the formulation is uniform or sinusoidal over the surface and linearly varying through the thickness. Numerical results are presented for thermal and mechanical load cases in laminated composite and sandwich shallow shells. The closed-form solutions presented herein for laminated composite plate or shells are compared with the available 3D elasticity solutions for mechanical loading and it is believed that solutions for thermal loading will serve as bench mark in future.
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Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Analysis and Optimization · Aeroelasticity and Vibration Control
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (28)
Show source-provided references
1. Finite element thermal stress analysis of composite laminates using a higher-order theory10.1080/01495739408946257 ↗
2. Thermal stresses and deflections of cross-ply laminated plates using refined plate theories10.1080/01495739108927077 ↗
3. Thermal effects on the response of cross-ply laminated shallow shells10.1016/0020-7683(92)90059-3 ↗
4. Pao YC. 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., March 23, 24 (1972): Univ. of South Florida, 1972. p. 787–806
5. Flügge · 1967
6. Kant T. Thermal stresses in non-homogeneous shells of revolution: Theory and analysis. Tech. Rep. IIT-B/CE-79-2: Indian Institute of Technology: Bombay: Dept. of Civil Engineering; 1979
7. Kant T. Thermoelasticity of thick, laminated orthotropic shells. In Transactions of the International Conference on Structural Mechanics in Reactor Technology: Vol. M: Methods for structural analysis: Amsterdam, Neth.: North Holland 1981
8. Kant T, Patil S. Numerical results-analysis of pressures vessels using various shell theories. In Tech. Rep. Numerical analysis of pressure vessels using various shell theories: Indian Institute of Technology: Bombay: Dept. of Civil Engineering; 1979. p. 149–331
9. Kant T. Numerical analysis of pressure vessels using various shell theories. Tech. Rep. IIT-B/CE-79-1: Indian Institute of Technology: Bombay: Dept. of Civil Engineering; 1979
10. Interlaminar failure due to mechanical and thermal stresses at the free edges of laminated plates10.1016/0266-3538(93)90090-4 ↗
11. High-order thermoelastic composite plate theories: Analytic comparison10.1080/01495739308946230 ↗
12. Thermoelastic analysis of laminated plates including transverse shear deformation effects10.1016/0263-8223(94)00026-3 ↗
13. Thermal-mechanical stress analysis of inhomogeneous antisymmetric cross-ply laminates10.1016/S0045-7949(96)00274-X ↗
14. Thermally-induced deformation behavior of unsymmetric laminates10.1016/S0020-7683(97)00167-4 ↗
15. A new theory for accurate thermal/mechanical flexural analysis of symmetric laminated plates10.1016/S0263-8223(99)00028-8 ↗
16. Optimum in situ strength design of laminates under combined mechanical and thermal loads10.1016/S0263-8223(00)00040-4 ↗
17. Refined theory of laminated anisotropic shells for the solution of thermal stress problems10.1080/014957399281066 ↗
18. An assessment of mixed and classical theories for the thermal stress analysis of orthotropic multilayered plates10.1080/014957300750040096 ↗
19. Thermal bending analysis of composite laminated cylindrical shells using a refined first-order theory10.1080/014957300403969 ↗
20. Higher-order theories for thermal stresses in layered plates10.1016/S0020-7683(00)00249-3 ↗
21. Hygrothermal effects on the structural behaviour of thick composite laminates using higher-order theory10.1016/S0263-8223(01)00182-9 ↗
22. Sanders JL. Jr., An improved first approximation theory for thin shells. NASA Technical Report R-24, 1959
23. Cook · 1989
24. Three-dimensional elasticity solution for static response of orthotropic doubly curved shallow shells on rectangular planform10.1016/0263-8223(93)90056-V ↗
25. Exact solutions for rectangular composite and sandwich plates10.1177/002199837000400102 ↗
26. Reddy TS. Three dimensional elastostatic analysis of fibre reinforced composite laminated shells. M Tech Dissertation, Department of Civil Engineering, Indian Institute of Technology Bombay, India, 1992
27. Menon MP. Refined theories and finite element evaluations for multilayered composite shells. PhD Thesis, Department of Civil Engineering, Indian Institute of Technology Bombay, India, 1991
28. Analysis of simply supported laminated circular cylindrical shells10.1016/0263-8223(89)90092-5 ↗