Finite Deformation of Elastic Rods and Shells

摘要

The objective of this paper is to present an account of recent developments in the direct formulation of theories of rods and shells based on 1 and 2-dimensional continuum models originating in the works of Duhem and E. and F. Cosserat. Following some preliminaries and description of (3-dimensional) shell-like and rod-like bodies, the rest of the paper is arranged in two parts, namely Part A(for shells) and Part B(for rods) and can be read independently of each other. In each part, after providing the main ingredients of the direct model and a statement of the conservation laws, a rapid outline is given of the derivation of the basic equations and nonlinear constitutive equations for elastic materials. Each part also includes a discussion of constrained theories and an account of recent developments on the subject. (Author)