A constitutive model of nanocomposite hydrogels with nanoparticle crosslinkers

Wang, Qiming; Gao, Zheming

doi:10.1016/j.jmps.2016.04.011

Cited by 90 publications

(53 citation statements)

References 57 publications

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“…This enables a more efficient force redistribution among neighboring chains when one of the chains break off, leading to slower force drop and delayed damage accumulation. Similar results were obtained for nano-composite gels with nanoparticle cross-linkers that increase the network coordination interactions [40]. As the coordination number decreases, the material becomes more compliant, and is capable of achieving slightly higher stretch values although with lower overall toughness and strength.…”

Section: Effect Of Coordination Number Zsupporting

confidence: 78%

An adaptive quasicontinuum approach for modeling fracture in networked materials: Application to modeling of polymer networks

Ghareeb

Elbanna

2020

Journal of the Mechanics and Physics of Solids

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Materials with network-like microstructure, including polymers, are the backbone for many natural and human-made materials such as gels, biological tissues, metamaterials, and rubbers. Fracture processes in these networked materials are intrinsically multiscale, and it is computationally prohibitive to adopt a fully discrete approach for large scale systems. To overcome such a challenge, we introduce an adaptive numerical algorithm for modeling fracture in this class of materials, with a primary application to polymer networks, using an extended version of the Quasi-Continuum method that accounts for both material and geometric nonlinearities. In regions of high interest, for example near crack tips, explicit representation of the local topology is retained where each polymer chain is idealized using the worm like chain model. Away from these imperfections, the degrees of freedom are limited to a fraction of the network nodes and the network structure is computationally homogenized, using the micromacro energy consistency condition, to yield an anisotropic material tensor consistent with the underlying network structure. A nonlinear finite element framework including both material and geometric nonlinearities is used to solve the system where dynamic adaptivity allows transition between the continuum and discrete scales. The method enables accurate modelling of crack propagation without a priori constraint on the fracture energy while maintaining the influence of large-scale elastic loading in the bulk. We demonstrate the accuracy and efficiency of the method by applying it to study the fracture in different examples of network structures. We further use the method to investigate the effects of network topology and disorder on its fracture characteristics. We discuss the implications of our method for multiscale analysis of fracture in networked material as they arise in different applications in biology and engineering.

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Section: Effect Of Coordination Number Zsupporting

confidence: 78%

An adaptive quasicontinuum approach for modeling fracture in networked materials: Application to modeling of polymer networks

Ghareeb

Elbanna

2020

Journal of the Mechanics and Physics of Solids

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“…Various constitutive relations have been reported in the literature to model Mullin effect. Among them Xuanhe Zhao et al [35] and Zheming Gao et al [36] used network alteration theory to describe the softening behavior in interpenetrating polymer networks and nanocomposite hydrogels respectively. It is also shown [37] that such constitutive relations can serve in finite element simulation to predict the hydrogel loading response.…”

Section: -Dashed Line)mentioning

confidence: 99%

Tailoring swelling to control softening mechanisms during cyclic loading of PEG/cellulose hydrogel composites

Khoushabi

Wyss

Caglar

et al. 2018

Composites Science and Technology

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A B S T R A C TOne of the novel approaches for discogenic lower back pain treatment is to permanently replace the core of the intervertebral disc, so-called Nucleus Pulposus, through minimally invasive surgery. Recently, we have proposed Poly(Ethylene Glycol) Dimethacrylate (PEGDM) hydrogel reinforced with Nano-Fibrillated Cellulose (NFC) fibers as an appropriate replacement material. In addition to the tuneable properties, that mimic those of the native tissue, the surgeon can directly inject it into the degenerated disc and cure it in situ via UV-light irradiation. However, in view of clinical applications, the reliability of the proposed material has to be tested under long-term fatigue loading. To that end, the present study focused on the characterization of the fatigue behavior of the composite hydrogel and investigated the governing physical phenomena behind it. The results show that composite PEGDM-NFC hydrogel withstands the 10 million compression cycles at physiological condition. However, its modulus decreases by almost 10% in the first cycle and then remains constant, while cyclic loading does not affect the neat PEGDM hydrogel. The observed softening behavior has similar characteristics of the Mullins effect. It is shown that the reduction of modulus is due to the gradual change of NFC network, which is highly stretched in the swollen state. Moreover, the swelling degree of the matrix is correlated to the extent of softening during cyclic loading. Consequently, softening can be minimized by lowering the swelling of the composite hydrogel.

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“…Hydrogels using multifunctionality crosslinkers provide another energy dissipation system: the polymer chains between these crosslinkers often have various lengths, and the sequentially detachment of polymer chains dissipated stored energy . According to this mechanism, composite hydrogels are also prepared with nanocrosslinkers, which are able to gather even more polymer chains around single crosslinking points .…”

Section: Introductionmentioning

confidence: 99%

“…[11] Hydrogels using multifunctionality crosslinkers provide another energy dissipation system: the polymer chains between these crosslinkers often have various lengths, and the sequentially detachment of polymer chains dissipated stored energy. [12] According to this mechanism, composite hydrogels are also prepared with nanocrosslinkers, which are able to gather even more polymer chains around single crosslinking points. [13] The polymer grafted on the nanocrosslinkers has a large range of length distribution, therefore the polymer chains could detach gradually and toughen the composite A kind of novel heterogeneous composite hydrogel with dynamic nanocrosslinkers is designed, which is built via the preorganized host-guest interaction on the surface of cellulose nanocrystals.…”

mentioning

confidence: 99%

Robust Heterogeneous Hydrogels with Dynamic Nanocrystal–Polymer Interface

Huang

Wang

et al. 2017

Macromol. Rapid Commun.

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A kind of novel heterogeneous composite hydrogel with dynamic nanocrosslinkers is designed, which is built via the preorganized host-guest interaction on the surface of cellulose nanocrystals. The reversible β-cyclodextrin/adamantane conjunctions and their gradual dissociation on the nanocrystal-polymer interface guarantee the compressibility and stretchability of the composite hydrogels. While the sacrificed toughening mechanism can be rebuilt in the as-prepared hydrogels, it fails to be regenerated in the swollen hydrogels. This fact is originally due to the extreme mechanical contrast between rigid nanocrystals and the flexible polymer phase. This heterogeneity is largely amplified by the swelling process: polymer chains are prestretched between nanocrosslinkers and generate residual stress on the dynamic nanocrystal-polymer interface. Thus, this swelling-induced heterogeneity resists the reassociation of the sacrificed β-cyclodextrin/adamantane complexes. Furthermore, the unstable nanocrystal-polymer interface induces the crack propagate along the nanocrosslinker surface, which remarkably retards the crack propagation during the stretch.

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A constitutive model of nanocomposite hydrogels with nanoparticle crosslinkers

Cited by 90 publications

References 57 publications

An adaptive quasicontinuum approach for modeling fracture in networked materials: Application to modeling of polymer networks

An adaptive quasicontinuum approach for modeling fracture in networked materials: Application to modeling of polymer networks

Tailoring swelling to control softening mechanisms during cyclic loading of PEG/cellulose hydrogel composites

Robust Heterogeneous Hydrogels with Dynamic Nanocrystal–Polymer Interface

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