Recoverably and destructively deformed domain structures in elongation process of thermoplastic elastomer analyzed by graph theory

Morita, Hiroshi; Miyamoto, Ayano; Kotani, Masahiro

doi:10.1016/j.polymer.2019.122098

Cited by 18 publications

(36 citation statements)

References 21 publications

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“…The hard domains of a TPE are less robust than the cross-links of vulcanized rubber. The network structure of a TPE may change under deformation, as observed in simulation [1,9] and by conducting experiments [8]. For example, a hard domain may split as shown in Figure 2.…”

Section: A a Bmentioning

confidence: 97%

A mathematical model of network elastoplasticity

Kodama,

Yoshida

2021

Preprint

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We introduce a mathematical model, based on networks, for the elasticity and plasticity of materials. We define the tension tensor for a periodic graph in a Euclidean space, and we show that the tension tensor expresses elasticity under deformation. Plasticity is induced by local moves on a graph. The graph is described in terms of the weights of edges, and we discuss how these weights affect the plasticity.

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Section: A a Bmentioning

confidence: 97%

A mathematical model of network elastoplasticity

Kodama,

Yoshida

2021

Preprint

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“…The hard domains of a TPE are less robust than the cross-links of vulcanized rubber because each hard domain is aggregated by intermolecular forces. The network structure of a TPE may change under deformation, as observed in simulation [ 8 , 9 ] and by conducting experiments [ 10 ]. For example, a hard domain may split, as shown in figure 2 .…”

Section: Introductionmentioning

confidence: 99%

A mathematical model of network elastoplasticity

Kodama

Yoshida

2022

Proc. R. Soc. A.

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“…The nanoscale structures of BCPs are also used as functional soft materials. For example, bicontinuous structures are used as solar cell materials − and as polymer nanocomposite materials, such as microphase separations of BCPs − and rubbers. − For the latter, to obtain the optimum mechanical response to deformation, skillful control of the “ random network of phase-separated domains ” frozen in a nonequilibrium state is necessary. , …”

Section: Introductionmentioning

confidence: 99%

Lamellar Domain Spacing of Symmetric Linear, Ring, and Four-Arm-Star Block Copolymer Blends

2022

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In this study, we performed dissipative particle dynamics simulations of pure melts and blends of symmetric linear, ring, and four-arm-star block copolymers (BCPs), to investigate how their lamellar domain spacing (D) could be controlled. To address the finite polymerization degree (N) used in simulation, the four-arm stars were modeled using the detailed particle-based representation. The results of our simulations confirmed that for pure melts of linear and ring BCPs, the variation of the domain spacing with repulsion strength (Δa) is consistent with theoretical predictions. However, because of our use of particle-based representation of molecular structures, the values of D obtained for pure star BCP melts were larger than the theoretically predicted ones with the same N. Based on the variation in the profiles of the interfaces between the lamellar domains at different length scales, we quantitatively estimated the effects of thermal fluctuation such as interfacial roughness. Surprisingly, we found that the effects are larger with ring BCPs than with star or linear BCPs. Finally, we noted that for a polymer blend consisting of a combination of linear and nonlinear BCP melts with the same N, D decreases monotonically with the molar fraction of the ring or star polymer. Thus, given their resistance to thermal fluctuation effects, star BCPs are preferable to ring BCPs for adjusting the domain spacing of a polymer blend.

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Recoverably and destructively deformed domain structures in elongation process of thermoplastic elastomer analyzed by graph theory

Cited by 18 publications

References 21 publications

A mathematical model of network elastoplasticity

A mathematical model of network elastoplasticity

A mathematical model of network elastoplasticity

Lamellar Domain Spacing of Symmetric Linear, Ring, and Four-Arm-Star Block Copolymer Blends

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