Higher order theories for the buckling and post-buckling studies of shallow spherical shells made of functionally graded materials. (1st September 2022)

• Record Type: Journal Article
• Authors: Muc, Aleksander; Kubis, Sebastian; Bratek, Łukasz; Muc-Wierzgoń, Małgorzata
• Is Part Of: Composite structures. Volume 295(2022)
• Publication Date: 2022-09-01
• Subjects: Shallow spherical shells -- Functionally graded materials -- Stretching effects -- Non-linear behaviour -- FE analysis; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2022.115851
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: For composite shallow spherical shells (including functionally graded materials) the buckling and post-buckling behaviour is strongly affected by the material characteristics of a shell wall constructions. Using a power series expansion for a parameter (z/h) different variants of 2-D shell formulations are discussed herein starting from the Love-Kirchhoff theory and finishing on the 9th order theory (stretching effects). The solutions are searched for with the use of the Bubnov-Galerkin method and the finite element analysis (the h- and p-approximations). Due to geometrical limits of shallowness shell theory the investigations can be carried out for structures having the moderate thickness – the h/R ratio should be less than 0.15.