Abstract

A version of an applied theory of shells of large thickness based on the introduction of force and kinematic hypotheses completing and extending the set of Love-Kirchhoff and Timoshenko-Reissner hypotheses is discussed. The complete system of equations including the elasticity relations, the geometric relations (displacements and strains), and the equilibrium equations is written out. The obtained system of equations is verified in several special cases. It is noted that the error of this theory does not exceed the squared thickness-to-radius ratio compared with unity.

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