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Thermo-elasticity in shell structures made of functionally graded materials

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Abstract

An efficient low-order finite shell element is derived for the thermo-elastic analysis of shell structures made of functionally graded materials or multilayer composites. It is based on a one-way coupling between the thermal and the mechanical analysis. The thermal quantities are evaluated using a new iterative scheme that properly accounts for convection boundary conditions and large gradients of the thermal conductivity. The resulting non-constant temperature field with respect to the thickness direction gives nodal forces and couples, which are applied on a shear weak six-parameter shell formulation. Here, drill rotations are included, supplemented with a proper method for calculating effective elastic properties. Numerical results indicate the efficiency and accuracy of the proposed approach.

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Authors and Affiliations

  1. Department of Applied and Numerical Mechanics, University of Applied Sciences Wiener Neustadt, Johannes Gutenberg-Straße 3, 2700, Wiener Neustadt, Austria

    Stephan Kugler & Peter A. Fotiu

  2. Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava, Ilkovicova 3, 812 19, Bratislava, Slovakia

    Justin Murin

Authors
  1. Stephan Kugler
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  2. Peter A. Fotiu
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  3. Justin Murin
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Correspondence to Stephan Kugler.

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Kugler, S., Fotiu, P.A. & Murin, J. Thermo-elasticity in shell structures made of functionally graded materials. Acta Mech 227, 1307–1329 (2016). https://doi.org/10.1007/s00707-015-1550-9

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  • DOI: https://doi.org/10.1007/s00707-015-1550-9

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