A linear shell theory based on variational principles.

摘要

Under the guidance of variational principles, we derive a two-dimensional shell model, which is a close variant of the classical Naghdi model. From the model solution, approximate stress and displacement fields can be explicitly reconstructed. Convergence of the approximate fields toward the more accurate three-dimensional elasticity solutions is proved. Convergence rates are established. The condition under which the model might fail is also discussed.