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A monolithic hybrid finite element strategy for nonlinear thermoelasticity

Jog, C S and Gautam, G S J (2017) A monolithic hybrid finite element strategy for nonlinear thermoelasticity. In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 112 (1). pp. 26-57.

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Official URL: http://doi.org/10.1002/nme.5500

Abstract

This work deals with the formulation and implementation of a mixed finite element formulation for nonlinear thermoelasticity. In the literature, a `consistent' mixed formulation to reduce spurious oscillations in thermal stresses has been developed which involves the use of a temperature interpolation that is one order lower than the displacement interpolation functions. However, such a strategy would require a very fine mesh in problems where thermal gradients are high. In order to reduce the computational cost, we propose a new hybrid formulation for both the mechanical and thermal parts of the stress tensor, that not only overcomes membrane, shear, and volumetric locking but also eliminates thermal stress oscillations, even with the use of a coarse mesh. For transient problems, a new energy-momentum conserving time stepping scheme is also proposed so that linear and angular momenta and energy are conserved exactly in the fully discrete hybrid framework in the absence of loading and dissipation. Several examples for the St. Venant-Kirchhoff and Ogden material models where the solutions are compared against either analytical or other numerical strategies show the efficacy of the developed procedure. Copyright (C) 2016 John Wiley & Sons, Ltd.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 07 Oct 2017 06:08
Last Modified: 07 Oct 2017 06:08
URI: http://eprints.iisc.ernet.in/id/eprint/57957

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