A time‐integration method for the viscoelastic–viscoplastic analyses of polymers and finite element implementation

Kim, Jeong-Sik; Muliana, Anastasia

doi:10.1002/nme.2569

Cited by 39 publications

(21 citation statements)

References 31 publications

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“…To determine the creep strain the linear approximation with respect to time can be applied. This approach is used in the papers [7][8][9][10][11][12][13][14]. For polymeric materials we have the nonlinear equation of Maxwell-Gurevich, which for plane stress has the form: …”

Section: Solution Of the Problemmentioning

confidence: 99%

Calculation of shallow polymer shell taking the creep into account

2017

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Section: Solution Of the Problemmentioning

confidence: 99%

Calculation of shallow polymer shell taking the creep into account

2017

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“…Nevertheless, the existing sophisticated and complex elastoplastic or viscoelasticviscoplastic constitutive laws for small strain conditions for materials such as: concrete and geotextiles (which are pressure-sensitive dilatant), asphaltic material (Darabi et al, 2011), and polymer and polymer composites (Kim and Muliana, 2009), have been developed based on additive decomposition of strain (or strain rate) to elastic and plastic parts. Furthermore, it would be difficult to convert them to a multiplicative decomposition based model.…”

Section: Large Deformation Generalizationmentioning

confidence: 99%

“…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.…”

Section: 5mentioning

confidence: 99%

“…In addition, a non-linear viscoelastic and viscoplastic constitutive model derived from thermodynamics framework was proposed by Schapery (1997), and was employed and modified by Kim and Muliana (2009) where specific phenomena such as tertiary creep, post-peak softening behavior of the stress-strain response, and degradation in mechanical properties cannot be explained only by viscoelastic and viscoplastic constitutive models. Also, the effect of loading history on polymers is the outcome of the evolution of the microstructure state of material which has been experimentally revealed to depend on: (1) Internal energy (Hasan and Boyce, 1993;Oleynik et al, 1990), (2) Free local volume (Hasan and Boyce, 1995), and (3) Bi-refringence (Arruda and Boyce, 1993 (Anand and Ames, 2006;Anand and Gurtin, 2003).…”

Section: 5mentioning

confidence: 99%

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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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“…Viscoelastic constitutive models are often considered in the literature when the materials experience full recovery upon removal of the mechanical stimuli provided that a sufficient resting time is given, while viscoplastic (or viscoelasticplastic, elastic-viscoplastic, viscoelastic-viscoplastic) models are typically used for materials that show permanent (residual) deformations upon complete removal of the stimuli. Lai and Bakker (1995), Davis (2003, 2005), Kim and Muliana (2009), Miled et al (2011), andTscharnuter et al (2012) are among the authors who considered viscoelastic-viscoplastic 1 response of polymers when the polymers exhibit permanent deformations. It is noted that some viscoelastic models, e.g., Maxwell and Burger models, result in permanent deformations upon removal of the prescribed mechanical stimuli, which are used to model viscoelastic fluid or fluid like behaviors (e.g., Pipkin 1986; Christensen 2002, Wineman andRajagopal 2001).…”

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confidence: 98%

Analyses of viscoelastic solid polymers undergoing degradation

Davoodi

Muliana

Tscharnuter

et al. 2015

Mech Time-Depend Mater

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In this paper we study the three-dimensional response of isotropic viscoelastic solid-like polymers undergoing degradation due to mechanical stimuli. A single integral model is used to describe the time-dependent behaviors of polymers under general loading histories. The degradation is associated to excessive deformations in the polymers as strains continuously increase when the mechanical stimuli are prescribed, and therefore we consider a degradation threshold in terms of strains. The degradation part of the deformations is unrecoverable, and upon removal of the prescribed external stimuli, the accumulation of the degradation strains lead to residual strains. We also systematically present material parameter characterization from available experimental data under various loading histories, i.e., ramp loading with different constant rates, creep-recovery under different stresses, and relaxation under several strains. We analyze viscoelastic-degradation response of two polymers, namely polyethylene and polyoxymethylene under uniaxial tensile tests. Longer duration of loading can lead to increase in the degradation of materials due to the substantial increase in the deformations. The single integral model is capable in predicting the time-dependent responses of the polymers under various loading histories and capturing the recovery and residual strains at different stages of degradations.

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A time‐integration method for the viscoelastic–viscoplastic analyses of polymers and finite element implementation

Cited by 39 publications

References 31 publications

Calculation of shallow polymer shell taking the creep into account

Calculation of shallow polymer shell taking the creep into account

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

Analyses of viscoelastic solid polymers undergoing degradation

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