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A higher-order shear deformation theory of laminated elastic shells. (English) Zbl 0559.73072

A higher-order shear deformation theory of elastic shells is developed for shells laminated of orthotropic layers. The theory is a modification of Sanders’ theory and accounts for parabolic distribution of the transverse shear strains through thickness of the shell and tangential stress-free boundary conditions on the boundary surfaces of the shell. The Navier-type exact solutions for bending and natural vibration are presented for cylindrical and spherical shells under simply supported boundary conditions.

MSC:

74K15 Membranes
74K25 Shells
74H45 Vibrations in dynamical problems in solid mechanics
Full Text: DOI

References:

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