2024 年 12 巻 1 号 論文ID: 23-00267
This paper develops a thin shell theory consistent with continuum mechanics as an extension of a thin curved beam theory that has been developed by the authors. A curvilinear coordinate system is defined for the thin shell and the asymptotic expansion with respect to the ratio of thickness to curvature radius is used to compute covariant derivative. Governing equations and boundary conditions are derived from a functional of linear elasticity using suitably approximated displacement and stress functions. Cross-sectional force equilibrium is discussed for the comparison of the developed theory with ordinary shell theories.
