Vol. 7, No. 8-9, 2012

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ISSN: 1559-3959
Network evolution model of anisotropic stress softening in filled rubber-like materials: Parameter identification and finite element implementation

Roozbeh Dargazany, Vu Ngoc Khiêm, Uwe Navrath and Mikhail Itskov

Vol. 7 (2012), No. 8-9, 861–885
Abstract
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A purely micromechanical network evolution theory granting new insight into the damage mechanism was proposed previously by the authors (Dargazany and Itskov, 2009). In this follow-up paper, we further formulate the network evolution model for implementation into finite element simulations. To this end, a general internal variable formulation is developed which determines the inelastic response of the microstructure on the basis of the free energy function. The thermodynamical consistency of the network evolution model is then verified analytically. Next, the predictive capabilities of the model are demonstrated by means of several experiments especially designed to capture stress softening, permanent set, and induced anisotropy. Finally, the influence of the filler concentration on material parameters is studied.

Keywords
Mullins effect, stress softening, constitutive behavior, microstructures, anisotropic material, rubber material
Milestones
Received: 12 June 2012
Revised: 10 October 2012
Accepted: 16 October 2012
Published: 23 January 2013
Authors
Roozbeh Dargazany
Department of Materials Science and Engineering
Massachusetts Institute of Technology
77 Massachusetts Avenue
Room 12002
Cambridge, MA 02139
United States
Department of Continuum Mechanics
RWTH Aachen University
Kackertstraße 9
52072 Aachen
Germany
Vu Ngoc Khiêm
Department of Continuum Mechanics
RWTH Aachen University
Kackertstraße 9
52072 Aachen
Germany
Uwe Navrath
Department of Continuum Mechanics
RWTH Aachen University
Kackertstraße 9
52072 Aachen
Germany
Mikhail Itskov
Department of Continuum Mechanics
RWTH Aachen University
Kackertstraße 9
52072 Aachen
Germany