2015-Sustainable Industrial Processing Summit
SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics
| Editors: | Kongoli F, Bordas S, Estrin Y |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2015 |
| Pages: | 300 pages |
| ISBN: | 978-1-987820-24-9 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Multiplicative Finite Strain Elastoplastic Formulation Coupled to Anisotropic Damage
Romain Balieu1; Nicole Kringos1;1KTH ROYAL INSTITUTE OF TECHNOLOGY, Stockholm, Sweden;
Type of Paper: Regular
Id Paper: 408
Topic: 1
Abstract:
In this work, a finite strain elasto-viscoplastic model coupled to anisotropic damage is developed through a thermodynamics admissible framework. A hyperelastic-based model using the multiplicative decomposition of the deformation gradient tensor into elastic and plastic parts is used and the resulting plastic intermediate configuration is connected with a fictitious undamaged configuration. This work is motivated by the inappropriate kinematical definition of the stress measure work conjugated with the plastic velocity gradient in the effective configuration, i.e. "effective stress", obtained by classical pull-back/push-forward operations. Usually, the pull-back of the Mandel-type stress tensor, resulting from the multiplicative decomposition of the deformation gradient, in the fictitious undamaged configuration leads to effective and nominal stress measures very close to each other. When compared to previously published works, the physical interpretation of the material degradation, represented by a second order tensor, has been enhanced by using a novel definition of the pull-back/push-forward operations which bridge effective and nominal configurations. The emphasis of this work is placed on the description of the interesting properties of the proposed formulation as well as its consequences in a thermodynamics point of view. Within this framework, a specific constitutive model with plastic and damage flow rules deduced from the restrictions imposed by the entropy balance is discussed with an application on an asphalt concrete material where the anisotropic evolution of the damage is highlighted.
References:
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[3] L. Kachanov: Time of the rupture process under creep conditions, USSR Otd. Tekh Nauk, 8 (1958), 26-31.
[4] G.Z. Voyiadjis and P.I. Kattan, Damage Mechanics, 2005, Taylor & Francis.
[5] M. Brünig: A framework for large strain elastic–plastic damage mechanics based on metric transformations, International Journal of Engineering Science, vol. 39, no. 9, (2005) 1033-1056.
[6] B. Coleman and M. Gurtin: Thermodynamics with internal state variables. The Journal of Chemical Physics 47 (1967), 597–613.
[7] R. Balieu and N. Kringos: A new thermodynamical framework for finite strain multiplicative elastoplasticity coupled to anisotropic damage, International Journal of Plasticity, 70 (2015), 126-150.