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Elasto-Plastic Response of Thick Plates Built in Functionally Graded Material Using the Third Order Plate Theory

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Advances in Computational Plasticity

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 46))

Abstract

We present an application of the third-order plate theory for investigation of the elasto-plastic response of thick plates made of functionally graded material. The theory was originally developed by Reddy and Kim [1]. In their formulation they expanded the in-plane displacements up to the cubic term and the transverse displacement up to the quadratic term with respect to the coordinate perpendicular to the plate surface, obtaining a quadratic variation of the transverse shear strains through the plate thickness. FGM properties are modelled following the power law distribution of constituent ratio across the thickness. The plates are modelled using a 16-noded lagrangian elements using Lobatto integration rules. The problem is solved using Newton-Raphson method applying modified Crisfield constant arc-length procedure. Numerical examples are provided to illustrate the advantages of the method proposed.

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Acknowledgements

The figures presenting deformations of plates have been created using the computer code (graphic post-processing) developed by Dr. Bartek Żyliński (Bartlomiej.Zylinski@rolls-royce.com, Rolls-Royce Marine AS, Ålesund, Norway).

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Authors and Affiliations

  1. Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawinskiego 5B, 02-106, Warsaw, Poland

    Michal Kleiber

  2. Faculty of Maritime Technology and Transport, West Pomeranian University of Technology, Szczecin, Piastow 41, 71-065, Szczecin, Poland

    Maciej Taczała & Ryszard Buczkowski

Authors
  1. Michal Kleiber
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  2. Maciej Taczała
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  3. Ryszard Buczkowski
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Corresponding author

Correspondence to Michal Kleiber .

Editor information

Editors and Affiliations

  1. CIMNE, Universitat Politècnica de Catalunya, Barcelona, Spain

    Eugenio Oñate

  2. Swansea University, Swansea, United Kingdom

    Djordje Peric

  3. Swansea University, Swansea, United Kingdom

    Eduardo de Souza Neto

  4. CIMNE, Universitat Politècnica de Catalunya, Barcelona, Spain

    Michele Chiumenti

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Kleiber, M., Taczała, M., Buczkowski, R. (2018). Elasto-Plastic Response of Thick Plates Built in Functionally Graded Material Using the Third Order Plate Theory. In: Oñate, E., Peric, D., de Souza Neto, E., Chiumenti, M. (eds) Advances in Computational Plasticity. Computational Methods in Applied Sciences, vol 46. Springer, Cham. https://doi.org/10.1007/978-3-319-60885-3_9

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  • DOI: https://doi.org/10.1007/978-3-319-60885-3_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60884-6

  • Online ISBN: 978-3-319-60885-3

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