Article (Scientific journals)
A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers
Nguyen, Van Dung; Lani, Frédéric; Pardoen, Thomas et al.
2016In International Journal of Solids and Structures, 96, p. 192-216
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NOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Solids and Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Solids and Structures 96, 2016, 192-216, DOI:10.1016/j.ijsolstr.2016.06.008


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Keywords :
Glassy polymers; Large strain; Hyperelastic
Abstract :
[en] A large strain hyperelastic phenomenological constitutive model is proposed to model the highly nonlinear, rate-dependent mechanical behavior of amorphous glassy polymers under isothermal conditions. A corotational formulation is used through the total Lagrange formalism. At small strains, the viscoelastic behavior is captured using the generalized Maxwell model. At large strains beyond a viscoelastic limit characterized by a pressure-sensitive yield function, which is extended from the Drucker-Prager one, a viscoplastic region follows. The viscoplastic flow is governed by a non-associated Perzyna-type flow rule incorporating this pressure-sensitive yield function and a quadratic flow potential in order to capture the volumetric deformation during the plastic process. The stress reduction phenomena arising from the post-peak plateau and during the failure stage are considered in the context of a continuum damage mechanics approach. The post-peak softening is modeled by an internal scalar, so-called softening variable, whose evolution is governed by a saturation law. When the softening variable is saturated, the rehardening stage is naturally obtained since the isotropic and kinematic hardening phenomena are still developing. Beyond the onset of failure characterized by a pressure-sensitive failure criterion, the damage process leading to the total failure is controlled by a second internal scalar, so-called failure variable. The final failure occurs when the failure variable reaches its critical value. To avoid the loss of solution uniqueness when dealing with the continuum damage mechanics formalism, a non-local implicit gradient formulation is used for both the softening and failure variables, leading to a multi-mechanism non-local damage continuum. The pressure sensitivity considered in both the yield and failure conditions allows for the distinction under compression and tension loading conditions. It is shown through experimental comparisons that the proposed constitutive model has the ability to capture the complex behavior of amorphous glassy polymers, including their failure.
Research center :
Computational & Multiscale Mechanics of Materials
Disciplines :
Mechanical engineering
Materials science & engineering
Author, co-author :
Nguyen, Van Dung  ;  Université de Liège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Lani, Frédéric;  Université Catholique de Louvain - UCL > Institute of Mechanics, Materials and Civil Engineering
Pardoen, Thomas;  Université Catholique de Louvain - UCL > Institute of Mechanics, Materials and Civil Engineering
Morelle, Xavier;  Université Catholique de Louvain - UCL > Institute of Mechanics, Materials and Civil Engineering
Noels, Ludovic  ;  Université de Liège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
Language :
English
Title :
A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers
Publication date :
01 October 2016
Journal title :
International Journal of Solids and Structures
ISSN :
0020-7683
eISSN :
1879-2146
Publisher :
Pergamon Press (part of Elsevier Science), Oxford, United Kingdom
Volume :
96
Pages :
192-216
Peer reviewed :
Peer Reviewed verified by ORBi
Name of the research project :
The authors gratefully acknowledge the financial support from F.R.S-F.N.R.S. under the project number PDR T.1015.14
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
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