Micro-, meso- to macroscopic modeling of deformation behavior of semi-crystalline polymer

Uchida, Makoto; Tada, Naoya

doi:10.1016/j.ijplas.2013.03.007

Cited by 76 publications

(36 citation statements)

References 51 publications

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“…This constitutive law is selected among other models (Baghani et al, 2012;Bouvard et al, 2013;Uchida and Tada, 2013;Ayoub et al, 2014), because it furnishes a valid description for the finite elastic behavior of many real rubber-like materials, provided that the deformations are not too extreme.…”

Section: Neo-hookean Modelmentioning

confidence: 99%

Investigation of localized necking in substrate-supported metal layers: Comparison of bifurcation and imperfection analyses

Bettaieb

Abed‐Meraim

2015

International Journal of Plasticity

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a b s t r a c tLocalized necking is often considered as precursor to failure in metal components. In modern technologies, functional components (e.g., in flexible electronic devices) may be affected by this necking phenomenon, and to avoid the occurrence of strain localization, elastomer substrates are bonded to the metal layers. This paper proposes an investigation of the development of localized necking in both freestanding metal layers and elastomer/ metal bilayers. Finite strain versions of both rigid-plastic flow theory and deformation theory of plasticity are employed to model the mechanical response of the metal layer. For the elastomer, a neo-Hookean constitutive law is considered. Localized necking is predicted using both bifurcation (whenever possible) and Marciniak-Kuczynski analyses. A variety of numerical results are presented, which pertain to the prediction of localized necking in freestanding metal layers and metal/substrate bilayers. The effects of the constitutive framework and the presence of an elastomer substrate on strain localization predictions have been specifically highlighted. It is demonstrated that the addition of an elastomer layer can retard significantly the occurrence of localized necking. It is also demonstrated that the results of the Marciniak-Kuczynski analysis tend towards the bifurcation predictions in the limit of a vanishing size for the geometric imperfection.

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Section: Neo-hookean Modelmentioning

confidence: 99%

Investigation of localized necking in substrate-supported metal layers: Comparison of bifurcation and imperfection analyses

Bettaieb

Abed‐Meraim

2015

International Journal of Plasticity

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“…Other approaches were based on the use of rheological models (spring-dashpots) to capture the complex mechanical behavior of SCP (Lee et al, 1993a,b;Boyce et al, 2000;van Dommelen et al, 2003;Ahzi et al, 2003;Makradi et al, 2005;Khan et al, 2006;Ayoub et al, 2010;Ayoub et al, 2011). Recently, micro-mechanical model using either analytical or either FE-based homogenization scheme were also proposed (Lee et al, 1993a;Nikolov and Doghri, 2000;Nikolov et al, 2002;Bédoui et al, 2006;Gueguen et al, 2008;Li and Shojaei, 2012;Uchida and Tada, 2013;Shojaei and Li, 2013).…”

Section: Introductionmentioning

confidence: 99%

A thermo-mechanical large deformation constitutive model for polymers based on material network description: Application to a semi-crystalline polyamide 66

Maurel-Pantel

Baquet

Bikard

et al. 2015

International Journal of Plasticity

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International audienceA visco-hyperelastic constitutive model, based on an original approach initially developed by (Billon, 2012) and applied to amorphous rubbery polymers for a one-dimensional formalism, was extended in this study to three-dimensional constitutive equations based on a thermodynamic framework. The model was applied to a semi-crystalline polyamide polymer, PA66. The experiments included tension and shear testing coupled with synchronized digital image correlation and infrared measurements device for capturing the time, temperature, and stress state dependence, as well as the complex thermomechanical coupling exhibited by the material under large deformation. A notion of equivalent strain rate (based on the time–temperature principle superposition) was also introduced to show its capability to build master curves and therefore decrease the number of testing needed to build a material database. The model is based on the Edward Vilgis theory (1986) and accounts for chains network reorganization under external loading through the introduction of an evolution equation for the internal state variable η, representing the degree of mobility of entanglement points. The model accounting for the equivalent strain rate notion was calibrated using master curves. The thermomechanical model agreed well with the experimental mechanical and temperature measurements under tension and shear conditions. The approach developed in this study may open a different way to model the polymer behavior

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“…Chen and Schweizer argued that the suppressed segmental relaxation induced strain hardening behavior, while Hoy and Robbins proposed the opinion about the local plastic rearrangement . As for semicrystalline polymers, strain hardening is proved to be determined by both the crystals and chain entanglement network, whether the alignment or recrystallization of crystals and entanglement network . Considering that F2314 is a material containing rubber chains, glassy chains, and crystals, both the orientation of the underlying network and recrystallization may contribute to strain hardening.…”

Section: Discussionmentioning

confidence: 99%

Structural origin for the strain rate dependence of mechanical response of fluoroelastomer F2314

Chang

Lin

Chen

et al. 2019

J Polym Sci B Polym Phys

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The structural evolution of fluoroelastomer F2314 is studied during uniaxial tensile in a large strain rate range (0.1–150 s−1) with the combination of a homemade high‐speed stretching device and in situ small‐ and wide‐angle X‐ray scattering techniques. Based on the mechanical behaviors and structural evolutions, three strain rate regions (I–III) are defined. The microphase‐separated structure plays an important role in the mechanical response of F2314. In Region I, deformation of soft domains is the main process before yielding, accompanied by the destruction of lamellar crystals in hard domains. In the stress plateau zone, deformation of hard domains is confirmed as the primary mechanism of energy dissipation. With the orientation parameter of the amorphous phase reaching a critical value, strain hardening is triggered. Recrystallization also takes place in strain hardening zone. In Region II, due to the mismatch between the mobility of molecular chains in hard domains and the acting time of stress, large deformation of hard domains is more and more difficult to occur with the disappearance of recrystallization. In Region III, as almost all molecular chains have no time to adjust or relax to fit the stress field, the sample presents a brittle fracture. © 2019 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2019, 57, 607–620

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Micro-, meso- to macroscopic modeling of deformation behavior of semi-crystalline polymer

Cited by 76 publications

References 51 publications

Investigation of localized necking in substrate-supported metal layers: Comparison of bifurcation and imperfection analyses

Investigation of localized necking in substrate-supported metal layers: Comparison of bifurcation and imperfection analyses

A thermo-mechanical large deformation constitutive model for polymers based on material network description: Application to a semi-crystalline polyamide 66

Structural origin for the strain rate dependence of mechanical response of fluoroelastomer F2314

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