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Static analysis of laminated and sandwich composite doubly-curved shallow shells
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 Title & Authors
Static analysis of laminated and sandwich composite doubly-curved shallow shells
Alankaya, Veysel; Oktem, Ahmet Sinan;
 Abstract
A new analytical solution based on a third order shear deformation theory for the problem of static analysis of cross-ply doubly-curved shells is presented. The boundary-discontinuous generalized double Fourier series method is used to solve highly coupled linear partial differential equations with the mixed type simply supported boundary conditions prescribed on the edges. The complementary boundary constraints are introduced through boundary discontinuities generated by the selected boundary conditions for the derivation of the complementary solution. The numerical accuracy of the solution is compared by studying the comparisons of deflections, stresses and moments of symmetric and anti-symmetric laminated shells with finite element results using commercially available software under uniformly distributed load. Results are in good agreement with finite element counterparts. Additional results of the symmetric and anti-symmetric laminated and sandwich shells under single point load at the center and pressure load, are presented to provide data for the unsolved boundary conditions, benchmark comparisons and verifications.
 Keywords
analytical solution;cross-ply shells;sandwich shells;boundary discontinuous Fourier analysis;higher order shear deformation theory;mixed simply supported;
 Language
English
 Cited by
1.
Three-dimensional stresses analysis in rotating thin laminated composite cylindrical shells,;;

Steel and Composite Structures, 2016. vol.22. 5, pp.1193-1214 crossref(new window)
1.
Dynamic Behavior of Curved Panels of Rectangular Planar Form: An Analytical Approach, International Journal of Structural Stability and Dynamics, 2017, 1850084  crossref(new windwow)
 References
1.
Carrera, E. (1999), "A study of transverse normal stress effect on vibration of multilayered plates and shells", J. Sound Vib., 225(5), 803-829. crossref(new window)

2.
Carrera, E. (2000), "An assessment of mixed and classical theories on global and local response of multilayered orthotropic plates", Compos. Struct., 50(2), 183-198. crossref(new window)

3.
Carrera, E., Cinefra, M. and Nali, P. (2010), "MITC technique extended to variable kinematic multilayered plate elements", Compos. Struct., 92(8), 1888-1895. crossref(new window)

4.
Catapano, A., Guinta, G., Belouettar, S. and Carrera, E. (2011), "Static analysis of laminated beams via a unified formulation", Compos. Struct., 94(1), 75-83. crossref(new window)

5.
Chaudhuri, R.A. (2002), "On the roles of complementary and admissible boundary constraints in fourier solutions to boundary-value problems of completely coupled Rth order PDE.'s", J. Sound Vib., 251(2), 261-313. crossref(new window)

6.
Chen, C.S. (2007), "The nonlinear vibration of an initially stressed laminated plate", Compos.:Part B, 38(4), 437-447. crossref(new window)

7.
Cho, M., Kim, K.O. and Kim, M.H. (1996), "Efficient higher order shell theory for laminated composites", Compos. Struct., 34(2), 197-212. crossref(new window)

8.
Demasi, L. (2012), "Partially zig-zag advanced higher order shear deformation theories based on the generalized unified formulation", Compos. Struct., 94(2), 363-375. crossref(new window)

9.
Demasi, L. (2013), "Partially layer wise advanced zig zag and HSDT models based on the generalized unified formulation", Eng. Struct., 53, 63-91. crossref(new window)

10.
Ibrahim, S.M., Carrera, E., Petrolo, M. and Zappino, E. (2012), "Buckling of composite thin walled beams by refined theory", Compos. Struct., 94(2), 563-570. crossref(new window)

11.
Jones, R.M. (1999), Mechanics of Composite Materials, (2nd Ed.), Taylor and Francis, PA, USA.

12.
Khalili, S.M.R., Davar, A. and Fard, K.M. (2012), "Free vibration analysis of homogeneous isotropic circular cylindrical shells based on a new three-dimensional refined higher order theory", Int. J. Mech. Sci., 56(1), 1-25. crossref(new window)

13.
Loy, C.T. and Lam, K.Y. (1999), "Vibration of thick cylindrical shells on the basis of three-dimensional theory of elasticity", J. Sound Vib., 226(4), 719-737. crossref(new window)

14.
Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012a), "A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates", Int. J. Solid. Struct., 49(1), 43-53. crossref(new window)

15.
Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012b), "Bending and free vibration analysis of isotropic and multilayered plates and shells by using a new accurate higher-order shear deformation theory", Compos.: Part B, 43(8), 3348-3360. crossref(new window)

16.
Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012c), "Bending response of functionally graded plates by using a new higher order shear deformation theory", Compos. Struct., 94(2), 714-723. crossref(new window)

17.
Mantari, J.L., Oktem, A.S. and Soares, C.G. (2012d), "A new trigonometric layerwise shear deformation theory for the finite element analysis of composite and sandwich plates", Comput. Struct., 94, 43-53.

18.
Oktem A.S., Alankaya, V. and Soares, C.G. (2013), "Boundary discontinuous fourier analysis of simply supported cross-ply plates", Appl. Math. Model., 37(3), 1378-1389. crossref(new window)

19.
Reddy, J.N. and Liu, C.F. (1985), "A higher-order shear deformation theory of laminated elastic shells", Int. J. Eng. Sci., 23(3), 319-330. crossref(new window)

20.
Swanson, S.R. (2001), Introduction to Design and Analysis with Advanced Composite Materials, Prentice Hall Inc.

21.
Tornabene, F., Fantuzzi, N., Viola, E. and Carrera, E. (2014), "Static analysis of doubly-curved anisotropic shells and panels using CUF approach, differential geometry and differential quadrature method", Compos. Struct., 107, 675-697. crossref(new window)

22.
Tornabene, F., Fantuzzi, N., Bacciocchi M. and Viola, E. (2015), "A new approach for treating concentrated loads in doubly-curved composite deep shells with variable radii of curvature", Compos. Struct., 131, 433-452. crossref(new window)

23.
Viola, E., Tornabene, F. and Fantuzzi, N. (2013a), "Static analysis of completely doubly-curved laminated shells and panels using general higher-order shear deformation theories", Compos. Struct., 101, 59-93. crossref(new window)

24.
Viola, E., Tornabene, F. and Fantuzzi, N. (2013b), "General higher-order shear deformation theories for the free vibration analysis of completely doubly-curved laminated shells and panels", Compos. Struct., 95, 639-666. crossref(new window)

25.
Youssif, Y.G. (2009), "Non-linear design and control optimization of composite laminated doubly curved shell", Compos. Struct., 88(3), 468-480. crossref(new window)

26.
Zenkour, A.M. (2013), "A simple four-unknown refined theory for bending analysis of functionally graded plates", Appl. Math. Model., 37(20-21), 9041-9051. crossref(new window)