Higher-order finite element models for the static linear and nonlinear behaviour of functionally graded material plate-shell structures

Moita, J.S.; M. Franco Correia, V.; Mota Soares, C.M.; Herskovits, J.

http://hdl.handle.net/10400.26/57424

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Authors

Moita, J.S.

M. Franco Correia, V.

Mota Soares, C.M.

Herskovits, J.

Abstract(s)

In this work, finite element formulations based on higher order shear deformation theories are used for the nonlinear static analysis of Functionally Graded Material plate-shell type structures. Linear and geometric nonlinear behaviour of the plate-shell type structures are considered. For the nonlinear analysis, the incremental equilibrium path is obtained using the updated Lagrangian procedure and Newton-Raphson incremental-iterative method, incorporating the automatic arc-length method for the cases of snap-through occurrence. The finite element models are based on a non-conforming triangular flat plate/shell element with 3 nodes and 8 or 11 degrees of freedom per node. The solutions of some illustrative plate-shell examples are performed, and the results are presented and discussed with numerical alternative models.

Keywords

Functionally graded materials Finite element models Stress analysis

URI

http://hdl.handle.net/10400.26/57424

Citation

Moita, J. S., Correia, V. F., Soares, C. M. M., & Herskovits, J. (2019). Higher-order finite element models for the static linear and nonlinear behaviour of functionally graded material plate-shell structures. Composite structures, 212, 465-475