A thermodynamically-based constitutive model for thermoplastic polymers coupling viscoelasticity, viscoplasticity and ductile damage

Krairi, Anouar; Doghri, Issam

doi:10.1016/j.ijplas.2014.04.010

Cited by 142 publications

(84 citation statements)

References 61 publications

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“…In general, the Poisson ratio of polymers is shown to depend on time, stress and temperature (Tschoegl et al, 2002). Thus the Poisson ratio is not the relevant material parameter and the use of shear and bulk time functions is more appropriate to capture the multiaxial state of the material behavior (Krairi and Doghri, 2014). As only uniaxial experimental data are available, the Poisson ratio is assumed to be constant for simplicity.…”

Section: Pre-failure Materials Parameters Identificationmentioning

confidence: 99%

“…The complex behavior of polymers can thus be captured using a viscoelastic-viscoplastic constitutive model with a robust integration algorithm to be implemented in finite element codes (Miled et al, 2011) by combining a viscoelastic constitutive model with a phenomenological-based viscoplastic one. Additionally, to model the material degradation when dealing with the fracture behavior of polymers, a viscoelastic-viscoplastic-damage constitutive model can be used (Abu Al-Rub et al, 2015;Zaïri et al, 2008;Krairi and Doghri, 2014). However, the complex mechanical behavior of amorphous glassy polymers exhibiting multiple stages coupled with the compression-tension asymmetry in both yielding and failure stages were not considered.…”

Section: Introductionmentioning

confidence: 99%

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A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers

Nguyễn

Lani

Pardoen

et al. 2016

International Journal of Solids and Structures

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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.

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Section: Pre-failure Materials Parameters Identificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers

Nguyễn

Lani

Pardoen

et al. 2016

International Journal of Solids and Structures

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“…1 Several studies (Fisher and Brinson, 2001;Krairi and Doghri, 2014) allow different relaxation times and number of Prony series components in bulk and shear moduli. Without loss of generality and for simplifying the subsequent discussion, this work assumes that the whole viscoelastic modulus tensor L is described by a fixed number of Prony series components and one set of relaxation times.…”

Section: Theoretical Background For Viscoelastic Materialsmentioning

confidence: 99%

Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites

Anagnostou

Chatzigeorgiou

Chemisky

et al. 2018

Composites Part B: Engineering

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractThe aim of this paper is to study, through a multiscale analysis, the viscoelastic behavior of glass reinforced sheet molding compound (SMC) composites and SMC-hybrid composites mixing two types of bundle reinforcement: glass and carbon fibers. SMC exhibit more than two distinct characteristic length scales, so that a sequence of scale transitions is required to obtain the overall behavior of the composite. An analytical procedure is used consisting of properly selected well-established micromechanical methods like the Mori-Tanaka (MTM) and the composite cylinders (CCM) accounting for each scale transition. After selecting a representative volume element (RVE) for each scale, the material response of any given length scale is described on the basis of the homogenized behavior of the next finer one. This hierarchical approach is appropriately extended to the viscoelastic domain to account for the time dependent overall response of the SMC composite material. The anisotropic damage has been introduced through a micromechanical model considering matrix penny-shape microcrack density inside bundles. The capabilities of the hierarchical modeling are illustrated with various parametric studies and simulation of experimental data for glass-based SMC composites.

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“…Indeed, to capture the overall behaviour of polymers or polymeric composites, some authors refer to the theories of viscoelasticity (Moreau et al, 2005;Khan et al, 2006), viscoplasticity (Achour et al, 2015;Drosdov and Christiansen, 2007), coupled viscoelasticity and viscoplasticity (Miled et al, 2011), damage (Nouri et al, 2009) or even both coupled viscoelsticity, viscoplasticity and damage (Launay et al, 2011(Launay et al, , 2013aKrairi and Doghri, 2014;Lawrimore II et al, 2016). It is worth noticing that some other models integrate aspects related to physics of polymers, such as the molecular chains network reorganization 2 (Maurel-Pantel et al, 2015) or the partial phase transformation between crystalline and amorphous phases (Oshmyan et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

“…With regard to viscoelaticity, two main modelling approaches can be used, namely, the hereditary integral (Miled et al, 2011;Krairi and Doghri, 2014) and the differential form. The hereditary integral representation is based on the concept of relaxation or creep functions that need to be integrated through the whole time history to establish the stress-strain relationship.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological multi-mechanisms constitutive modelling for thermoplastic polymers, implicit implementation and experimental validation

Praud

Chatzigeorgiou

Bikard

et al. 2017

Mechanics of Materials

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In this work, a phenomenological model for thermoplastic polymers involving several mechanisms is proposed. The constitutive equations lie within the framework of thermodynamics and account for both viscoelasticty, viscoplasticity and ductile damage. An implicit numerical scheme utilizing the "return mapping algorithm" is provided along with the formulation of the tangent operator. The parameters of the developed model are experimentally identified through a gradient-based inverse method using three strain-controlled configurations. The model validation is achieved by comparing numerical results with experimental data obtained on a cyclic loading configuration test.Finally, the capabilities of the proposed model are demonstrated with a series of numerical simulations where complex cyclic and non-proportional loading conditions are applied as well as with a structural FE application.

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A thermodynamically-based constitutive model for thermoplastic polymers coupling viscoelasticity, viscoplasticity and ductile damage

Cited by 142 publications

References 61 publications

A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers

A large strain hyperelastic viscoelastic-viscoplastic-damage constitutive model based on a multi-mechanism non-local damage continuum for amorphous glassy polymers

Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites

Phenomenological multi-mechanisms constitutive modelling for thermoplastic polymers, implicit implementation and experimental validation

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