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Asymptotic generalization of Reissner–Mindlin theory: accurate three-dimensional recovery for composite shells by Wenbin Yu; Dewey H. Hodges; Vitali V. Volovoi is a Engineering article available to read on EtoBox.

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A rigorous and systematic dimensional reduction of a shell-like structure is undertaken. It starts with geometrically nonlinear, three-dimensional (3-D), anisotropic elasticity theory and takes advantage of small parameters associated with the geometry. This reduction is carried out using the variational asymptotic method and splits the 3-D problem into a linear, one-dimensional (1-D), through-the-thickness analysis and a nonlinear, two-dimensional (2-D), shell analysis. The 2-D equations are put into the form of a nonlinear Reissner-Mindlin shell theory, details of which are dealt with in a separate paper. The focus of this paper is on the through-the-thickness analysis, which is solved by a 1-D finite element method and which provides two useful pieces of information: a generalized 2-D constitutive law for the shell equations, and a set of recovery relations that can be used to express the 3-D field variables through the thickness in terms of 2-D shell variables calculated in the shell analysis. The resulting analysis can be incorporated into standard Reissner-Mindlin shell finite element codes. Numerical results are compared with the exact solution, and the excellent agreement v

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Author

Wenbin Yu; Dewey H. Hodges; Vitali V. Volovoi

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0045-7825)

Published

2002

Language

EN

Field

Engineering (Physical Sciences)