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

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Abstract

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.

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Acknowledgments

This work is dedicated in honor of Professor J.N. Reddy on his 70th birthday and for his contribution and impact to research and education on mechanics of advanced composite materials and structures. The authors also express their gratitude for his friendship and scientific advices.

This work was supported by FCT, Fundação para a Ciência e Tecnologia, Portugal, through IDMEC, under LAETA, project UID/EMS/50022/2013, and also CNPq, CAPES and FAPERJ, from Brazil.

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Authors and Affiliations

  1. LAETA - IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal

    J. S. Moita, A. L. Araújo, C. M. Mota Soares & C. A. Mota Soares

  2. COPPE-UFRJ, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

    J. Herskovits

  3. IME-Instituto Militar de Engenharia, Rio de Janeiro, Brazil

    J. Herskovits

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  1. J. S. Moita
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  2. A. L. Araújo
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  3. C. M. Mota Soares
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  4. C. A. Mota Soares
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Correspondence to A. L. Araújo.

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Moita, J.S., Araújo, A.L., Mota Soares, C.M. et al. Material and Geometric Nonlinear Analysis of Functionally Graded Plate-Shell Type Structures. Appl Compos Mater 23, 537–554 (2016). https://doi.org/10.1007/s10443-016-9473-8

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  • DOI: https://doi.org/10.1007/s10443-016-9473-8

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