A multiscale tensile failure model for double network elastomer composites

Zhao, Zeang; Lei, Hongshuai; Chen, Haosen; Zhang, Qiang; Wang, Panding; Lei, Ming

doi:10.1016/j.mechmat.2021.104074

Cited by 14 publications

(3 citation statements)

References 68 publications

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“…We set five hypothetical elastic materials with different magnitudes of Young’s modulus based on some typical theoretical models of stress–strain curves of elastomers in the literature, , as shown in Figure S1. We hope to guide the design and synthesis of dielectric layers with suitable mechanical properties through the capacitance response of the CPS when these materials serve as the dielectric layer.…”

Section: Resultsmentioning

confidence: 99%

Microstructured Polyfluoroacrylate Elastomeric Dielectric Layer for Highly Stretchable Wide-Range Capacitive Pressure Sensors

Chen,

Huang,

et al. 2023

ACS Appl. Mater. Interfaces

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Section: Resultsmentioning

confidence: 99%

Microstructured Polyfluoroacrylate Elastomeric Dielectric Layer for Highly Stretchable Wide-Range Capacitive Pressure Sensors

Chen,

Huang,

et al. 2023

ACS Appl. Mater. Interfaces

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“…To overcome this limitation, new elastomeric compounds are being developed that have increased ductility and durability, usually achieved by tailoring the material microstructure to have a progressive damage process which only gradually leads to fracture. These failure modes are usually observed in highly filled elastomers, in which the mechanism of cohesive failure is activated at the filler–matrix interface [35], or in multiple-network elastomers, where the presence of the additional filler network leads to a strong localized softening, due to rupture of covalent bonds and coalescence of defects [36,37].…”

Section: Introductionmentioning

confidence: 99%

An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures

Ciambella

Lancioni

Stortini

2022

Phil. Trans. R. Soc. A.

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Over the past 50 years the Ogden model has been widely used in material modelling owing to its ability to match accurately the experimental data on elastomers at large strain, as well as its mathematical properties, such as polyconvexity. In this paper, these characteristics are exploited to formulate a finite-strain model that incorporates, through the phase-field approach recently proposed by Wu (Wu 2017 J. Mech. Phys. Solids 103 , 72–99) for small strains, a cohesive damage mechanism which leads to the progressive degradation of the material stiffness and to failure under tension. By properly tailoring the constitutive parameters, the model is capable of encompassing a wide range of effects, from brittle to pseudo-ductile failure modes. A plane stress problem is formulated to test the model against experiments on double-network elastomers, which display a pseudo-ductile damage behaviour at large strain, and on conventional rubber compounds with brittle failure. The results show that the proposed model is applicable to fracture coalescence and propagation in a wide range of materials. This article is part of the theme issue ‘The Ogden model of rubber mechanics: Fifty years of impact on nonlinear elasticity’.

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“…Once the entropic and enthalpic contributions are defined, the statistics of rupture for a given population of chains can be studied. One way to resolve the statistics of chain rupture is to consider fully intact chains as automatically ruptured when their free energy or internal energy exceeds some rupture energy (or when their chain force exceeds its maximum value) (Arunachala et al, 2021;Buche and Silberstein, 2021;Dal and Kaliske, 2009;Lamont et al, 2021;Mao et al, 2017b;Xiao et al, 2021;Zhao et al, 2021b). Another approach is to define a thermodynamicallyconsistent damage law (often dependent on the bond stretch) that accounts for network softening.…”

Section: Introductionmentioning

confidence: 99%

A statistical mechanics framework for polymer chain scission, based on the concepts of distorted bond potential and asymptotic matching

Mulderrig¹,

Talamini²,

Bouklas³

2022

Preprint

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To design increasingly tough, resilient, and fatigue-resistant elastomers and hydrogels, the relationship between controllable network parameters at the molecular level (bond type, non-uniform chain length, entanglement density, etc.) to macroscopic quantities that govern damage and failure must be established. Many of the most successful constitutive models for elastomers have been rooted in statistical mechanical treatments of polymer chains. Typically, such constitutive models have used variants of the freely jointed chain model with rigid links. However, since the free energy state of a polymer chain is dominated by enthalpic bond distortion effects as the chain approaches its rupture point, bond extensibility ought to be accounted for if the model is intended to capture chain rupture. To that end, a new bond potential is supplemented to the freely jointed chain model (as derived in the uFJC framework of Buche and Silberstein (2021) and Buche et al. ( 2022)), which we have extended to yield a tractable, closed-form model that is amenable to constitutive model development. Inspired by the asymptotically matched uFJC model response in both the low/intermediate chain force and high chain force regimes, a simple, quasi-polynomial bond potential energy function is derived. This bond potential exhibits harmonic behavior near the equilibrium state and anharmonic behavior for large bond stretches tending to a characteristic energy plateau (akin to the Lennard-Jones and Morse bond potentials). Using this bond potential, approximate yet highlyaccurate analytical functions for bond stretch and chain force dependent upon chain stretch are established. Then, using this polymer chain model, a stochastic thermal fluctuation-driven chain rupture framework is developed. This framework is based upon a force-modified tilted bond potential that accounts for distortional bond potential energy, allowing for the derivation and subsequent calculation of the dissipated chain scission energy. The cases of rate-dependent and rate-independent scission are accounted for throughout the rupture framework. The impact of Kuhn segment number on chain rupture behavior is also investigated. The model is fit to single-chain mechanical response data collected from atomic force microscopy tensile tests for validation and to glean deeper insight into the molecular physics taking place. Due to their analytical nature, this polymer chain model and the associated rupture framework can be straightforwardly implemented in finite element models accounting for fracture and fatigue in polydisperse elastomer networks.

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A multiscale tensile failure model for double network elastomer composites

Cited by 14 publications

References 68 publications

Microstructured Polyfluoroacrylate Elastomeric Dielectric Layer for Highly Stretchable Wide-Range Capacitive Pressure Sensors

Microstructured Polyfluoroacrylate Elastomeric Dielectric Layer for Highly Stretchable Wide-Range Capacitive Pressure Sensors

An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures

A statistical mechanics framework for polymer chain scission, based on the concepts of distorted bond potential and asymptotic matching

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