Numerical finite element formulation of the Schapery non‐linear viscoelastic material model

Haj-Ali, Rami; Muliana, Anastasia

doi:10.1002/nme.861

Cited by 189 publications

(99 citation statements)

References 13 publications

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“…It was in the powder form (powder fraction of 90-120 µm, average size of 100 µm, density p = 1.37 g/cm 3 ) was used as a polymeric matrix for preparation of composites. of cobalt acetate in 10 ml of ethanol) so that the concentration of each metallic species was 0.01 wt % with stirring for 10 min followed by sonication for 2 h at room temperature.…”

Section: 1a Polymermentioning

confidence: 99%

Effect of Temperature on Creep behavior of Poly(vinyl chloride) Loaded with Single Walled Carbon Nanotubes

Abu-Abdeen¹,

Aboud²,

Ramzy³

2016

IJSEA

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Single walled carbon nanotubes (SWCNTs) were synthesized using alcohol catalyst chemical vapor deposition ACCVD method using ethanol and were characterized with TEM. The prepared SWCNTs were incorporated with different concentrations in Poly(vinyl chloride) with different concentrations. The effect of both SWCNTs concentrations and temperature on creep and creep recovery of PVC were studied. Burger's model was applied to the region of creep and material parameters like instantaneous elastic modulus, Voigt elastic modulus and viscosity, Newtonian viscosity and linear thermal expansion coefficient were calculated at different concentrations of SWCNTs and different temperatures. These parameters were found to have a maximum at 1 wt % of SWCNTs and also found to decrease with increasing temperature. The recovery relaxation time was calculated and the activation energy of chains upon heating was calculated and samples containing 5 wt% of SWCNTs was found to have a maximum of 0.36 eV.

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Section: 1a Polymermentioning

confidence: 99%

Effect of Temperature on Creep behavior of Poly(vinyl chloride) Loaded with Single Walled Carbon Nanotubes

Abu-Abdeen¹,

Aboud²,

Ramzy³

2016

IJSEA

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“…Some available viscoelastic models can be used as the generalized Maxwell model (Reese and Govindjee, 1998;Buhan and Frey, 2011), generalized Kelvin model (Zhang and Moore, 1997), fractional model (Schiessel et al, 1995), or Schapery model (Haj-Ali and Muliana, 2004). In these models, a network of multiple springs and dashpots is considered.…”

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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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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“…This type of non-linearity can be modeled by using Schapery's non-linear single integral viscoelastic constitutive model (Schapery, 1969b). Although finding proper values or functions for its non-linear parameters for this model in some cases may be difficult, the non-linear viscoelastic response of polymers and PCMs can be well-predicted by applying Schapery-type non-linear viscoelastic models (Christensen (1966);Schapery (1969bSchapery ( , 1974Schapery ( , 2000; Sadkin and Aboudi (1989);Haj-Ali and Muliana (2004).…”

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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Numerical finite element formulation of the Schapery non‐linear viscoelastic material model

Cited by 189 publications

References 13 publications

Effect of Temperature on Creep behavior of Poly(vinyl chloride) Loaded with Single Walled Carbon Nanotubes

Effect of Temperature on Creep behavior of Poly(vinyl chloride) Loaded with Single Walled Carbon Nanotubes

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

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

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