On the problems of Almansi and Michell for anisotropic Cosserat elastic shells

2010/10/13 by Mircea Bîrsan, Bîrsan, M.
Engineering · Materials Science · #Composite Structure Analysis and Optimization #Cosserat surfaces #Elasticity and Wave Propagation #Structural mechanics and materials #anisotropic cylindrical shells #problems of Almansi and Michell

paper · doi:10.24423/aom.300

openalex publication_date 2010/10/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/01

Abstract

This paper investigates the equilibrium of cylindrical elastic shells under the action of prescribed body loads, external loads on the lateral edges, and resultant forces and moments on the end edges. We consider anisotropic and inhomogeneous cylindrical shells with arbitrary (open or closed) cross-sections, and we employ the linear theory of Cosserat surfaces. We present a method to construct the solutions to the problems of Almansi and Michell. Then, we apply these results to study the deformation of orthotropic and homogeneous circular cylindrical tubes and Cosserat plates.

Related

• A linear isotropic Cosserat shell model including terms up to O(h⁵). Existence and uniqueness
• The isotropic Cosserat shell model including terms up to O(h⁵). Part I: Derivation in matrix notation
• Refined dimensional reduction for isotropic elastic Cosserat shells with\n initial curvature
• Material homogeneity and strain compatibility in thin elastic shells
• The isotropic Cosserat shell model including terms up to O(h⁵). Part II: Existence of minimizers