Material and Geometric Nonlinear Analysis of Functionally Graded Plate-Shell Type Structures

A nonlinear formulation for general Functionally Graded Material plate-shell type structures is presented. The formulation accounts for geometric and material nonlinear behaviour of these structures. Using the Newton–Raphson incremental-iterative method, the incremental equilibrium path is obtained,...

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Bibliographic Details
Published in:Applied composite materials 2016-08, Vol.23 (4), p.537-554
Main Authors: Moita, J. S., Araújo, A. L., Mota Soares, C. M., Mota Soares, C. A., Herskovits, J.
Format: Article
Language:English
Subjects:
Benchmarking
Characterization and Evaluation of Materials
Chemistry and Materials Science
Classical Mechanics
Degrees of freedom
Flat plates
Functionally gradient materials
Industrial Chemistry/Chemical Engineering
Materials Science
Mathematical analysis
Mathematical models
Newton Raphson methods
Nonlinearity
Polymer Sciences
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Summary:A nonlinear formulation for general Functionally Graded Material plate-shell type structures is presented. The formulation accounts for geometric and material nonlinear behaviour of these structures. Using the Newton–Raphson incremental-iterative method, the incremental equilibrium path is obtained, and in case of snap-through occurrence the automatic arc-length method is used. This simple and fast element model is a non-conforming triangular flat plate/shell element with 24 degrees of freedom for the generalized displacements. It is benchmarked in the solution of some illustrative plate- shell examples and the results are presented and discussed with numerical alternative models. Benchmark tests with material and geometrically nonlinear behaviour are also proposed.
ISSN:0929-189X
1573-4897
DOI:10.1007/s10443-016-9473-8