A viscoelastic–viscoplastic constitutive model for glassy polymers

Frank, Geoffrey J.; Brockman, R. A.

doi:10.1016/s0020-7683(00)00339-5

Cited by 88 publications

(42 citation statements)

References 20 publications

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“…However the use of the current model is limited at stress levels close to the peak stress. In general, most glassy polymers exhibit nonlinear viscoelastic behavior, in which the creep modulus is stress-and strain-dependent (Frank and Brockman, 2001;Abu Al-Rub et al, 2015). Moreover, when the stress level increases, the damage becomes important, so that a viscoelastic-viscoplastic constitutive model needs to be enhanced by a rate-dependent damage model to correctly capture creep behavior (Abu Al-Rub et al, 2015).…”

Section: Finite Element Modelmentioning

confidence: 99%

“…Most of them were initially used for metals and then extended to polymers. In this category, the Perzyna viscoplasticity theory (Perzyna, 1971) can be used to model the rate-dependent behavior of polymers as demonstrated by Van Der Sluis et al (2001); Kim and Muliana (2010); Abu Al-Rub et al (2015); the viscoplastic theory based on the overstress (VBO) concept (Krempl et al, 1986) can be considered for polymers as shown by Colak (2005); the Bodner and Partom viscoplastic model (Bodner and Partom, 1975) can be applied to polymers as also shown by Frank and Brockman (2001); Zaïri et al (2008). 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.…”

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: Finite Element Modelmentioning

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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“…This behaviour is also hydrostatic pressure dependent and thermal dependent. This leads to complex behaviours which could be described by different models as non-linear viscoelasticity [5] or viscoplasticity [6] alone or coupled elasto-viscoplasticity [7][8][9]/viscoelasticity-viscoplasticity [10]. In the present study, the identification of the BETA-MATE 1496V…”

Section: Introductionmentioning

confidence: 83%

Elasto-viscoplasticity Behaviour of a Structural Adhesive Under Compression Loadings at Low, Moderate and High Strain Rates

Morin¹,

Haugou

Lauro

et al. 2015

J. dynamic behavior mater.

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Crashworthiness performance of automotives by introducing new materials is of high interest based on the global mass' reduction of cars. Bonded techniques are tested at present with respect to the reduction of the mass/ energy's ratio combined with recycling processes. In this study, a compression test program is performed on a bulk structural adhesive under a very large range of strain rates, thus [0.1; 5000]/s. Uniaxial compression tests at 0.1 and 50/s are achieved using a high-speed hydraulic testing machine. A split Hopkinson bar' device made of PA66 is experimented so as to characterize soft materials in the upper domain of strain rates, thus [500; 5000]/s. A special mold is used for the preparation of the adhesive plates. Two sheets are prepared (thickness 4 mm with 1 MPa pressure and 6 mm with 4 MPa pressure) in order to consider the effect of the pressure during the curing process. Water jet technique is used to extract cylindrical samples from the plates with accurate dimensions. The identification of the compression behaviour of the structural adhesive is lead with objective to find material parameters of a modified G'sell model for finite element modeling of crashworthiness.

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“…As the stress increases, the dependent responses become more pronounced (Kim and Muliana, 2009). For example, creep tests on high-density polyethylene (HDPE) (Lai and Bakker, 1995), polycarbonate (Frank and Brockman, 2001), and aramid and polyester fibers Davies, 2003, 2005) show a combination of both viscoelastic and viscoplastic responses even at the room temperature and for short loading times. It has been observed in many types of polymers (Crissman and Zapas, 1985;Lai and Bakker, 1995;Zapas and Crissman, 1984) and polymer composites (Megnis and Varna, 2003;Pasricha et al, 1995;Ségard et al, 2002;Tuttle and Brinson, 1986) that creep strains are not entirely recovered even after sufficiently long recovery periods.…”

Section: 5mentioning

confidence: 99%

Microstructure-Based Computational Modeling of Mechanical Behavior of Polymer Micro/Nano Composites

Tehrani¹

2013

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Lightweight advanced materials are critical in the manufacturing of many Army vehicles. Recently, numerical tools have been utilized to customize experiments to achieve optimized behavior of micro/nano polymer composites (MNPCs). Most numerical studies are based on characterizing the MNPCs through simple microstructures, as circular particles or straight fibers embedded in a specific polymer matrix. Although these geometries are effective in virtually modeling some types of composite material behavior, they fail to address some critical key Names of Under Graduate students supportedPERCENT_SUPPORTED NAME FTE Equivalent:Total Number:The number of undergraduates funded by this agreement who graduated during this period with a degree in science, mathematics, engineering, or technology fields:The number of undergraduates funded by your agreement who graduated during this period and will continue to pursue a graduate or Ph.D. degree in science, mathematics, engineering, or technology fields:Number of graduating undergraduates who achieved a 3.5 GPA to 4.0 (4.0 max scale): Number of graduating undergraduates funded by a DoD funded Center of Excellence grant for Education, Research and Engineering:The number of undergraduates funded by your agreement who graduated during this period and intend to work for the Department of DefenseThe number of undergraduates funded by your agreement who graduated during this period and will receive scholarships or fellowships for further studies in science, mathematics, engineering or technology fields: Student Metrics This section only applies to graduating undergraduates supported by this agreement in this reporting periodThe number of undergraduates funded by this agreement who graduated during this period: 0.00 ...... Names of Personnel receiving masters degrees Inventions (DD882) Scientific ProgressBecause the mechanical responses of polymers and many types of polymer composites are in the large deformation range, the Eulerian or Lagrangian concept is required for measuring the stress and strain. On the other hand, developing a large deformation based constitutive model requires a number of considerations, and should be performed from a thermodynamics point of view to study the motion of each component of the material. Even though such approach is precise and physically sound, it is limited to just one type of material. Furthermore, polymers show high dependency to the rate and time of the applied load; hence, employing viscoelastic, viscoplastic and viscodamage models is necessary. To address these issues, a consistent framework is developed to generalize elastic/viscoelastic and plastic/viscoplastic models from small strain to the large deformation range. The developed continuum based app...

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A viscoelastic–viscoplastic constitutive model for glassy polymers

Cited by 88 publications

References 20 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

Elasto-viscoplasticity Behaviour of a Structural Adhesive Under Compression Loadings at Low, Moderate and High Strain Rates

Microstructure-Based Computational Modeling of Mechanical Behavior of Polymer Micro/Nano Composites

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