Vol. 12, No. 3, 2017

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Coupled thermally general imperfect and mechanically coherent energetic interfaces subject to in-plane degradation

Ali Esmaeili, Paul Steinmann and Ali Javili

Vol. 12 (2017), No. 3, 289–312

To date, the effects of interface in-plane damage on the thermomechanical response of a thermally general imperfect (GI) and mechanically coherent energetic interface are not taken into account. A thermally GI interface allows for a discontinuity in temperature as well as in the normal heat flux across the interface. A mechanically coherent energetic interface permits a discontinuity in the normal traction but not in the displacement field across the interface. The temperature of a thermally GI interface is a degree of freedom and is computed using a material parameter known as the sensitivity. The current work is the continuation of the model developed by Esmaeili et al. (2016a) where a degrading highly conductive (HC) and mechanically coherent energetic interface is considered. An HC interface only allows for the jump in normal heat flux and not the jump in temperature across the interface. In this contribution, a thermodynamically consistent theory for thermally GI and mechanically coherent energetic interfaces subject to in-plane degradation is developed. A computational framework to model this class of interfaces using the finite element method is established. In particular, the influence of the interface in-plane degradation on the sensitivity is captured. To this end, the equations governing a fully nonlinear transient problem are given. They are solved using the finite element method. The results are illustrated through a series of three-dimensional numerical examples for various interfacial parameters. In particular, a comparison is made between the results of the intact and the degraded thermally GI interface formulation.

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thermomechanically energetic interfaces, interface elasticity, general imperfect interfaces, nonlocal damage, nanomaterials, finite element method
Received: 23 June 2016
Revised: 14 November 2016
Accepted: 20 November 2016
Published: 9 February 2017
Ali Esmaeili
Department of Applied Mechanics
University of Erlangen-Nuremberg
Egerlandstrasse 5
D-91058 Erlangen
Paul Steinmann
Department of Applied Mechanics
University of Erlangen-Nuremberg
Egerlandstrasse 5
D-91058 Erlangen
Ali Javili
Department of Mechanical Engineering
Bilkent University
06800 Ankara