Soft elastic response of stretched sheets of nematic elastomers: a numerical study

Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg

doi:10.1016/s0022-5096(01)00120-x

Cited by 169 publications

(135 citation statements)

References 18 publications

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“…9 shows the reaction of the material on the imposed boundary conditions. As expected, it reacts with the creation of stripe domain pattern as reported, for example, in KUNDLER & FINKELMANN [32], VERWEY, WARNER & TERENTJEV [65] and CONTI, DESIMONE & DOLZMANN [13,12]. As becomes visible in Fig.…”

Section: Formation Of Stripe Domains Under Mechanical Tensionsupporting

confidence: 82%

An electro‐elastic phase‐field model for nematic liquid crystal elastomers based on Landau‐de‐Gennes theory

Keip

Nadgir

2017

GAMM-Mitteilungen

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The present contribution proposes a continuum-mechanical phase-field approach to model the electro-elastic behavior of nematic liquid crystal elastomers. The nemato-electro-elastic model is embedded into the fundamental Landau-de-Gennes theory for isotropic-nematic phase transition and employs a tensorial order parameter as the phase field. Nematic deformations are incorporated through a constitutive ansatz in terms of the order parameter. The phase-field formulation is implemented into the finite element method, so that the microstructure evolution of nematic elastomers under different boundary conditions can be studied. We show that the model is capable to capture characteristic features of nematic elastomers including mechanically and electrically induced microstructure evolution as well as the occurrence of stripe domains.

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Section: Formation Of Stripe Domains Under Mechanical Tensionsupporting

confidence: 82%

An electro‐elastic phase‐field model for nematic liquid crystal elastomers based on Landau‐de‐Gennes theory

Keip

Nadgir

2017

GAMM-Mitteilungen

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“…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%

“…Let λ > 0 be the stretch in the direction of the director n (which, in the present discussion, equals n * ). The deformation gradient of the (21) and the asymptotic formulas (23). When the ratio of the elastic moduli is small, the expansions provide an excellent approximation.…”

Section: Example: Spontaneous Shape Changesmentioning

confidence: 96%

“…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%

“…DeSimone & Dolzmann 22 and Conti et al 23,24 considered nematic elastomers subject to the constraint detA = detA * . Essentially, this normalization imposes the requirement that the volume occupied by a generic polymer chain remains unchanged regardless of shape changes and, thus, embodies what might be considered a constraint of microstructural incompressibility.…”

Section: A Basic Modelmentioning

confidence: 99%

See 2 more Smart Citations

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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Modeling and Simulation of Large Microstructured Particles in Magnetic‐Shape‐Memory Composites

2012

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Soft elastic response of stretched sheets of nematic elastomers: a numerical study

Cited by 169 publications

References 18 publications

An electro‐elastic phase‐field model for nematic liquid crystal elastomers based on Landau‐de‐Gennes theory

An electro‐elastic phase‐field model for nematic liquid crystal elastomers based on Landau‐de‐Gennes theory

Orientational order and finite strain in nematic elastomers

Modeling and Simulation of Large Microstructured Particles in Magnetic‐Shape‐Memory Composites

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