Constitutive model for large strain deformation of semicrystalline polymers

Holmes, David W.; Loughran, J.G.; Suehrcke, H.

doi:10.1007/s11043-007-9023-8

Cited by 29 publications

(9 citation statements)

References 53 publications

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“…A mechanical model that has been successfully applied for the analysis of creep data of various semicrystalline polymers34 and polymer‐based nanocomposites1 is the Burgers model, which is schematically represented in Figure 10. This is a four‐element mechanical model composed of a series combination of the Maxwell and Kelvin models.…”

Section: Resultsmentioning

confidence: 99%

Improving the creep stability of high‐density polyethylene with acicular titania nanoparticles

Bondioli

Dorigato

Fabbri

et al. 2009

J of Applied Polymer Sci

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Acicular titania nanoparticles with average dimensions of 15 Â 60 nm 2 were produced by hydrothermal crystallization of TiOCl 2 . Titania particles were surfacefunctionalized with octadecylsilane to obtain an organophilic surface. High-density polyethylene (HDPE) nanocomposites were prepared by melt compounding with 2, 3, and 5 vol % concentrations of untreated and surface-functionalized titania nanoparticles. Quasi-static mechanical tensile tests evidenced slight increments of both the elastic modulus and stress at yield, which were accompanied by a marked reduction of the strain at break at high filler contents. The introduction of titania nanoparticles induced a substantial reduction of the creep compliance of the HDPE matrix and of its creep rate, especially at long loading times. Untreated titania nanoparticles were more effective in reducing the creep compliance than the functionalized ones.

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Section: Resultsmentioning

confidence: 99%

Improving the creep stability of high‐density polyethylene with acicular titania nanoparticles

Bondioli

Dorigato

Fabbri

et al. 2009

J of Applied Polymer Sci

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“…The constitutive model discussed above and outlined in our earlier work, [17], utilizes elastic, viscoelastic and viscoplastic deforming responses combined in parallel. This combination of both elastic and inelastic deforming mechanisms is characteristic of a broad range of engineering materials, however, the development of a generalized numerical implementation, applicable to both classes of response remains fragmented and incomplete within the published literature.…”

Section: Generalized Inelasticity In Principal Stretchesmentioning

confidence: 99%

“…Referring to our earlier work, [17], and that of authors such as Perić and Dettmer [4], Simo and Hughes [12], Simo [13] and Zienkiewicz and Taylor [26], assuming inelastic evolution to be wholly deviatoric (see [4,13]), the tensor space viscoplastic constitutive equations with a von-Mises yield expression and isotropic hardening are defined as…”

Section: Viscoplastic Elementmentioning

confidence: 99%

Numerical aspects associated with the implementation of a finite strain, elasto‐viscoelastic–viscoplastic constitutive theory in principal stretches

Holmes

Loughran

2010

Numerical Meth Engineering

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SUMMARYThis paper treats the numerical implementation of a finite strain, elasto-viscoelastic-viscoplastic constitutive model for semi-crystalline polymers, written in principal stretches. A parallel configuration of the three model elements is used that enables the decoupled algorithmic treatment of each response within a stress update numerical scheme. The numerical aspects associated with the use of principal stretch constitutive expressions in a tensor space numerical environment are initially developed for the general cases of any elastic or inelastic constitutive element. Included is the formulation of the closed-form, consistent tangential modulus tensor. The principal space algorithmic treatments of the elastic, viscoelastic and viscoplastic elements are then used as specific examples. Of particular importance is the development of a principal space, closest point projection return mapping algorithm for viscoplasticity including isotropic strain hardening. Preliminary numerical examples are presented to illustrate the versatility of the model.

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“…Polyamides (PA), as semi-crystalline polymers, are used as structural components in the automobile industry because of their high strength, heat resistance, and ease of molding [7][8][9]. Such components work in complex loading; as such, their mechanical responses to various stress states have been studied [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Mechanical analysis of PA66 under combined shear–compression

et al. 2017

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The large-strain mechanical behavior of PA66 was investigated using shear-compression specimens (SCS) with two opposite slots machined at different angles (15°, 30°, 45°, and 50°). Results show that strain rate and slot angle affect the equivalent stress in different levels. Slot angle sensitivity affects both flow stress and hardening characteristics, and strain rate influences elastic deformation. Increasing the strain rate gradually increases the equivalent stress. SCS with a slot angle of 30°exhibits the largest equivalent stress and the greatest effect of strain rate. The stress-strain curve differs between cylindrical specimens and SCS under quasi-static conditions. The yield stress obtained by the cylindrical specimens is higher than that of SCS. A constitutive model is modified based on the Drucker-Prager criterion to describe the effect of hydrostatic pressure and strain rate on the equivalent yield stress of polymer materials. The theoretical formula predictions are consistent with experimental results, thereby confirming the feasibility of this constitutive relationship.

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Constitutive model for large strain deformation of semicrystalline polymers

Cited by 29 publications

References 53 publications

Improving the creep stability of high‐density polyethylene with acicular titania nanoparticles

Improving the creep stability of high‐density polyethylene with acicular titania nanoparticles

Numerical aspects associated with the implementation of a finite strain, elasto‐viscoelastic–viscoplastic constitutive theory in principal stretches

Mechanical analysis of PA66 under combined shear–compression

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