Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 69-70, Issue -, Pages 360-369Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2015.05.014
Keywords
MULLINS effect; Softening; Pseudo-elasticity; Thermomechanical consistency
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Funding
- AiF (Arbeitsgemeinschaft industrieller Forschungsvereinigungen Otto von Guericke e.V.), Industrial Community Research and Development (IGF) [16913 BG]
- Federal Ministry of Economics and Technology (BMWi)
- German federal parliament
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This work focuses on the thermodynamics of pseudo-elastic material models which represent the MULLINS effect. Two established models are analyzed theoretically, their thermomechanical properties are derived, and certain disadvantageous points are identified. These findings are used to deduce an alternative approach to deviate pseudo-elasticity. This is achieved by defining a suitable free energy which imposes conditions on the stress tensor and the dissipation using the CLAUSIUS-DUHEM inequality. The concept of pseudo-elasticity is then generalized to extend arbitrary thermomechanical, even inelastic, material models to allow for softening effects. Under weak assumptions on the softening function the thermomechanical consistency is shown. (C) 2015 Elsevier Ltd. All rights reserved.
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