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Publisher DOI: 10.1016/j.jmps.2016.03.002
Title: Thermomechanical formulation of ductile damage coupled to nonlinear isotropic hardening and multiplicative viscoplasticity
Language: English
Authors: Soyarslan, Celal 
Bargmann, Swantje 
Keywords: Damage coupledelastoplasticity;Thermomechanical coupling;Finite strain;Finite elements;Numerical algorithms;Return map
Issue Date: 5-Mar-2016
Publisher: Elsevier
Source: Journal of the Mechanics and Physics of Solids (91): 334-358 (2016-06-01)
Journal or Series Name: Journal of the mechanics and physics of solids 
Abstract (english): All rights reserved. In this paper, we present a thermomechanical framework which makes use of the internal variable theory of thermodynamics for damage-coupled finite viscoplasticity with nonlinear isotropic hardening. Damage evolution, being an irreversible process, generates heat. In addition to its direct effect on material's strength and stiffness, it causes deterioration of the heat conduction. The formulation, following the footsteps of Simó and Miehe (1992), introduces inelastic entropy as an additional state variable. Given a temperature dependent damage dissipation potential, we show that the evolution of inelastic entropy assumes a split form relating to plastic and damage parts, respectively. The solution of the thermomechanical problem is based on the so-called isothermal split. This allows the use of the model in 2D and 3D example problems involving geometrical imperfection triggered necking in an axisymmetric bar and thermally triggered necking of a 3D rectangular bar.
DOI: 10.15480/882.1857
ISSN: 1873-4782
Institute: Kontinuums- und Werkstoffmechanik M-15 
Type: (wissenschaftlicher) Artikel
License: CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives) CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)
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