Material instabilities in nematic elastomers

DeSimone, Antonio; Dolzmann, Georg

doi:10.1016/s0167-2789(99)00153-0

Cited by 87 publications

(70 citation statements)

References 19 publications

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“…Similar relations can also be obtained from (22) in terms of the order parameter S for the freely-jointed chain:…”

Section: Example: Spontaneous Shape Changesmentioning

confidence: 52%

“…As support for soft deformations and the neo-classical model, Verwey, Warner & Terentjev 21 interpreted the observed formation of stripes as a consequence of soft elasticity, which has been further investigated by DeSimone & Dolzmann 22 and Conti et al 23,24 . The recent experiments of Martinoty et al 25 , however, appear to contradict the assumptions of soft elasticity.…”

Section: Introductionmentioning

confidence: 88%

“…In so doing, we consider two models. The most basic of these has been used in studies on the effect of deformation on the striping instability (DeSimone & Dolzmann 22 and Conti et al 23,24 ). As this model may not accurately reflect the changes in the microstructure over a large range of temperatures, we also consider an alternative model where the nematic elastomer is treated as a freely-jointed chain (e.g., Finkelmann et al 16 ).…”

Section: Uniaxial Symmetrymentioning

confidence: 99%

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Orientational order and finite strain in nematic elastomers

Fried

Sellers

2005

The Journal of Chemical Physics

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Nematic elastomers exhibit large, spontaneous shape changes at the transition from the hightemperature isotropic phase to the low-temperature nematic phase. These finite deformations are studied here in the context of a nonlinear, properly invariant, variational theory that couples the orientational order and elastic deformation. The theory is based on the minimization of a freeenergy functional that consists of two contributions: a nematic one due to the interaction of the mesogenic units and an elastic one arising from the stretching of the cross-linked polymer chains. Suitable choices for these two contributions allow for large, reversible, spontaneous shape changes in which the elastic deformation can affect the isotropic-nematic transition temperature. The change in transition temperature as well as the magnitude of the resulting spontaneous deformation are illustrated for various parameter values. The theory includes soft elasticity as a special case but is not restricted to it.

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“…Similar relations can also be obtained from (22) in terms of the order parameter S for the freely-jointed chain:…”

Section: Example: Spontaneous Shape Changesmentioning

confidence: 52%

Section: Introductionmentioning

confidence: 88%

Section: Uniaxial Symmetrymentioning

confidence: 99%

See 1 more Smart Citation

Orientational order and finite strain in nematic elastomers

Fried

Sellers

2005

The Journal of Chemical Physics

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“…As a matter of fact, the determination of ϕ * and thus Qψ is only possible in rare cases as shown in [4][5][6][7]. Consequently, a focal point in relaxation theory is the approximation of the quasiconvex hull.…”

Section: Basics Of Energy Relaxation Methodsmentioning

confidence: 99%

“…An exact quasiconvexification is only possible in rare cases as shown in [4][5][6][7]. Therefore, the quasiconvex envelope is mostly approximated by means of upper and lower bounds.…”

Section: Introductionmentioning

confidence: 99%

Partially relaxed energy potentials for the modelling of microstructures – application to shape memory alloys

Bartel

Menzel

2012

GAMM-Mitteilungen

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Energy relaxation is well-established by several researchers -especially in the field of the modelling of solid-solid phase transformations. Nevertheless, critics still counter this concept by considering it as a purely mathematical tool with poor physical significance. In this contribution we aim at emphasising the significance of energy relaxation methods for the modelling of dissipative solids and especially microstructure formation and its further evolution. In particular, we shall point out aspects and advantages of this concept which are not straight forward to achieve within alternative schemes.

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Domain Formations and Pattern Transitions via Instabilities in Soft Heterogeneous Materials

Pallicity

Slesarenko

et al. 2019

Advanced Materials

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Experimental observations of domain formations and pattern transitions in soft particulate composites under large deformations are reported herein. The system of stiff inclusions periodically distributed in a soft elastomeric matrix experiences dramatic microstructure changes upon the development of elastic instabilities. In the experiments, the formation of microstructures with antisymmetric domains and their geometrically tailored evolution into a variety of patterns of cooperative particle rearrangements are observed. Through experimental and numerical analyses, it is shown that these patterns can be tailored by tuning the initial microstructural periodicity and concentration of the inclusions. Thus, these fully determined new patterns can be achieved by fine tuning of the initial microstructure.

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Material instabilities in nematic elastomers

Cited by 87 publications

References 19 publications

Orientational order and finite strain in nematic elastomers

Orientational order and finite strain in nematic elastomers

Partially relaxed energy potentials for the modelling of microstructures – application to shape memory alloys

Domain Formations and Pattern Transitions via Instabilities in Soft Heterogeneous Materials

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