This paper presents closed form solutions for simply supported cylindrical and spherical shells subjected to uniform localized distributions of transverse pressure and bending moment. These distributions have been expanded in terms of Fourier’s series for which Navier type “exact” solutions have been found for the governing differential equations of the employed shell theories. Shells made of isotropic materials, composites laminates, and sandwich have been analyzed. Carrera’s unified formulation has been adopted in order to implement a large variety of two-dimensional theories. Classical, refined, zigzag, layerwise, and mixed theories are compared in order to evaluate the stress and deformation variables. Conclusions are drawn with respect to the accuracy of the various theories for the considered loadings and layouts. The importance of the refined shell models in order to describe accurately the three-dimensional stress state in the neighborhood of the localized loading application area is outlined.
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August 2009
Research Papers
Exact, Hierarchical Solutions for Localized Loadings in Isotropic, Laminated, and Sandwich Shells
E. Carrera,
E. Carrera
Professor
Department of Aeronautic and Space Engineering, Aerospace Structures and Aeroelasticity,
Politecnico di Torino
, Turin 10129, Italy
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G. Giunta
G. Giunta
Research Scientist
Department of Aeronautic and Space Engineering,
e-mail: gaetano.giunta@polito.it
Politecnico di Torino
, Turin 10129, Italy; Department of Advanced Materials and Structures, Centre de Recherche Public Henri Tudor
, 29, avenue John F. Kennedy, L-1855 Luxembourg-Kirchberg, Luxembourg
Search for other works by this author on:
E. Carrera
Professor
Department of Aeronautic and Space Engineering, Aerospace Structures and Aeroelasticity,
Politecnico di Torino
, Turin 10129, Italy
G. Giunta
Research Scientist
Department of Aeronautic and Space Engineering,
Politecnico di Torino
, Turin 10129, Italy; Department of Advanced Materials and Structures, Centre de Recherche Public Henri Tudor
, 29, avenue John F. Kennedy, L-1855 Luxembourg-Kirchberg, Luxembourge-mail: gaetano.giunta@polito.it
J. Pressure Vessel Technol. Aug 2009, 131(4): 041202 (14 pages)
Published Online: June 10, 2009
Article history
Received:
May 13, 2008
Revised:
October 2, 2008
Published:
June 10, 2009
Citation
Carrera, E., and Giunta, G. (June 10, 2009). "Exact, Hierarchical Solutions for Localized Loadings in Isotropic, Laminated, and Sandwich Shells." ASME. J. Pressure Vessel Technol. August 2009; 131(4): 041202. https://doi.org/10.1115/1.3141432
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