On modeling the micro-indentation response of an amorphous polymer

Anand, Lallit; Ames, Nicoli M.

doi:10.1016/j.ijplas.2005.07.006

Cited by 178 publications

(126 citation statements)

References 37 publications

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“…This model employed a Hookean spring and Eyring dashpot to capture the intramolecular resistance to chain segment rotation, and the Langevin spring represents the entropic resistance to chain alignment. The nonlinear dashpot(s) are responsible for the rate-dependent yield in the material [26]. Multiple dashpots may be used to model multiple molecular processes that affect yield, e.g.…”

Section: Introductionmentioning

confidence: 99%

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High Strain Rate Mechanics of Polymers: A Review

Siviour

Jordan

2016

J. dynamic behavior mater.

265

127

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The mechanical properties of polymers are becoming increasingly important as they are used in structural applications, both on their own and as matrix materials for composites. It has long been known that these mechanical properties are dependent on strain rate, temperature, and pressure. In this paper, the methods for dynamic loading of polymers will be briefly reviewed. The high strain rate mechanical properties of several classes of polymers, i.e. glassy and rubbery amorphous polymers and semi-crystalline polymers will be reviewed. Additionally, time-temperature superposition for rate dependent large strain properties and pressure dependence in polymers will be discussed. Constitutive modeling and shock properties of polymers will not be discussed in this review.

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Section: Introductionmentioning

confidence: 99%

“…a-and b-transitions. The Langevin spring accounts for the strain hardening post-yield due to the alignment of the macromolecular network built of entangled polymer molecules [26]. A large family of 3D pressure, temperature, and strain rate dependent models [27][28][29] has developed based on the Ree-Eyring [24] theory.…”

Section: Introductionmentioning

confidence: 99%

High Strain Rate Mechanics of Polymers: A Review

Siviour

Jordan

2016

J. dynamic behavior mater.

265

127

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“…As only a weakly viscoelastic effect is considered and the underlying kinematic hardening part is not high enough to induce the plastic deformation during unloading phase, the current model cannot predict correctly this unloading behavior. In the literature, the nonlinearity upon unloading of glassy polymers can be modeled by considering a nonlinear viscoeslastic behavior as demonstrated by Xia et al (2005Xia et al ( , 2006; Colak (2005); Anand and Ames (2006). The constitutive models considering the kinematic hardening can account for this nonlinear response at large strains Ames et al, 2009), however they do not adequately account for this effect at small strains (Anand and Ames, 2006).…”

Section: Resultsmentioning

confidence: 99%

“…In the literature, the nonlinearity upon unloading of glassy polymers can be modeled by considering a nonlinear viscoeslastic behavior as demonstrated by Xia et al (2005Xia et al ( , 2006; Colak (2005); Anand and Ames (2006). The constitutive models considering the kinematic hardening can account for this nonlinear response at large strains Ames et al, 2009), however they do not adequately account for this effect at small strains (Anand and Ames, 2006). Additionally, the heat generation and thermal conduction due to plastic dissipation become important at large strains and can affect both loading and unloading responses as demonstrated by Anand et al (2009);Ames et al (2009).…”

Section: Resultsmentioning

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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“…Various models were developed and tested to simulate these responses. Rheological models extended to three-dimensional case under finite strain assumption have been proposed, for instance, by (Alcoutlabi and MartinezVega, 2003;Anand and Ames, 2006;Dupaix and Boyce, 2007;Ames et al, 2009;Anand et al, 2009;Srivastava et al, 2010;Shim and Mohr, 2011;Fleischhauer et al, 2012;Helbig and Seelig, 2012). Some of them were devoted to phenomenological modeling (Zaïri et al, 2005b;Cheng and Ghosh, 2013) or developed within a thermodynamics framework (Drozdov, 1999;Miehe et al, 2009;Bouvard et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Multi-mechanism modeling of amorphous polymers

Jeridi

Chouchene

Kéryvin

et al. 2014

Mechanics Research Communications

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The paper is devoted to a multimechanism (MM) model for the mechanical behavior of amorphous glassy polymers. A finite strain formulation through updated lagrangian formalisms is used. In the proposed phenomenological model, three mechanisms are respectively associated to three physical regimes for plastic deformation. The model was successful in describing the stress-strain behavior of glassy polymers for different strain rates and range of temperatures. The description of the three regions observed in the monotonic stress-strain curves is obtained through a coupling matrix between the isotropic hardening variables. A modular strategy based on the determination of the material parameters in three steps is proposed.

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On modeling the micro-indentation response of an amorphous polymer

Cited by 178 publications

References 37 publications

High Strain Rate Mechanics of Polymers: A Review

High Strain Rate Mechanics of Polymers: A Review

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

Multi-mechanism modeling of amorphous polymers

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