492 research outputs found
Characterization of soft stripe-domain deformations in Sm-C and Sm-C* liquid-crystal elastomers
The neoclassical model of Sm-C (and Sm-C*) elastomers developed by Warner and Adams predicts a class of “soft” (zero energy) deformations. We find and describe the full set of stripe domains—laminate structures in which the laminates alternate between two different deformations—that can form between pairs of these soft deformations. All the stripe domains fall into two classes, one in which the smectic layers are not bent at the interfaces, but for which—in the Sm-C* case—the interfaces are charged, and one in which the smectic layers are bent but the interfaces are never charged. Striped deformations significantly enhance the softness of the macroscopic elastic response
Exactly isochoric deformations of soft solids
Many materials of contemporary interest, such as gels, biological tissues and
elastomers, are easily deformed but essentially incompressible. Traditional
linear theory of elasticity implements incompressibility only to first order
and thus permits some volume changes, which become problematically large even
at very small strains. Using a mixed coordinate transformation originally due
to Gauss, we enforce the constraint of isochoric deformations exactly to
develop a linear theory with perfect volume conservation that remains valid
until strains become geometrically large. We demonstrate the utility of this
approach by calculating the response of an infinite soft isochoric solid to a
point force that leads to a nonlinear generalization of the Kelvin solution.
Our approach naturally generalizes to a range of problems involving
deformations of soft solids and interfaces in 2 dimensional and axisymmetric
geometries, which we exemplify by determining the solution to a distributed
load that mimics muscular contraction within the bulk of a soft solid
Elasticity of Polydomain Liquid Crystal Elastomers
We model polydomain liquid-crystal elastomers by extending the neo-classical
soft and semi-soft free energies used successfully to describe monodomain
samples. We show that there is a significant difference between polydomains
cross-linked in homogeneous high symmetry states then cooled to low symmetry
polydomain states and those cross-linked directly in the low symmetry
polydomain state. For example, elastomers cross-linked in the isotropic state
then cooled to a nematic polydomain will, in the ideal limit, be perfectly
soft, and with the introduction of non-ideality, will deform at very low stress
until they are macroscopically aligned. The director patterns observed in them
will be disordered, characteristic of combinations of random deformations, and
not disclination patterns. We expect these samples to exhibit elasticity
significantly softer than monodomain samples. Polydomains cross-linked in the
nematic polydomain state will be mechanically harder and contain characteristic
schlieren director patterns. The models we use for polydomain elastomers are
spatially heterogeneous, so rather than solving them exactly we elucidate this
behavior by bounding the energies using Taylor-like (compatible test strain
fields) and Sachs (constant stress) limits extended to non-linear elasticity.
Good agreement is found with experiments that reveal the supersoft response of
some polydomains. We also analyze smectic polydomain elastomers and propose
that polydomain SmC* elastomers cross-linked in the SmA monodomain state are
promising candidates for low field electrical actuation.Comment: 13 pages, 11 figure
Supersoft elasticity in polydomain nematic elastomers
We consider the equilibrium stress-strain behavior of polydomain liquid crystal elastomers (PLCEs). We show that there is a fundamental difference between PLCEs cross-linked in the high temperature isotropic and low temperature aligned states. PLCEs cross-linked in the isotropic state then cooled to an aligned state will exhibit extremely soft elasticity (confirmed by recent experiments) and ordered director patterns characteristic of textured deformations. PLCEs cross-linked in the aligned state will be mechanically much harder and characterized by disclination textures
Lifting, Loading, and Buckling in Conical Shells
Liquid crystal elastomer films that morph into cones are strikingly capable
lifters. Thus motivated, we combine theory, numerics, and experiments to
reexamine the load-bearing capacity of conical shells. We show that a cone
squashed between frictionless surfaces buckles at a smaller load, even in
scaling, than the classical Seide/Koiter result. Such buckling begins in a
region of greatly amplified azimuthal compression generated in an outer
boundary layer with oscillatory bend. Experimentally and numerically, buckling
then grows sub-critically over the full cone. We derive a new thin-limit
formula for the critical load, , and validate it numerically.
We also investigate deep post-buckling, finding further instabilities producing
intricate states with multiple Pogorelov-type curved ridges arranged in
concentric-circles or Archimedean spirals. Finally, we investigate the forces
exerted by such states, which limit lifting performance in active cones.Comment: 7 pages, 4 figures. This version published in PRL, open acces
Localized soft elasticity in liquid crystal elastomers.
This is the final version of the article. It first appeared from Nature Publishing Group via http://dx.doi.org/10.1038/ncomms10781Synthetic approaches to prepare designer materials that localize deformation, by combining rigidity and compliance in a single material, have been widely sought. Bottom-up approaches, such as the self-organization of liquid crystals, offer potential advantages over top-down patterning methods such as photolithographic control of crosslink density, relating to the ease of preparation and fidelity of resolution. Here, we report on the directed self-assembly of materials with spatial and hierarchical variation in mechanical anisotropy. The highly nonlinear mechanical properties of the liquid crystalline elastomers examined here enables strain to be locally reduced >15-fold without introducing compositional variation or other heterogeneities. Each domain (⩾0.01 mm(2)) exhibits anisotropic nonlinear response to load based on the alignment of the molecular orientation with the loading axis. Accordingly, we design monoliths that localize deformation in uniaxial and biaxial tension, shear, bending and crack propagation, and subsequently demonstrate substrates for globally deformable yet locally stiff electronics.T.H.W., A.F.S. and T.J.W. would like to acknowledge financial support from the Materials and Manufacturing Directorate and the Office of Scientific Research of the Air Force Research Laboratory
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Cell-Surface Proteomics Identifies Differences in Signaling and Adhesion Protein Expression between Naive and Primed Human Pluripotent Stem Cells.
Naive and primed human pluripotent stem cells (hPSC) provide valuable models to study cellular and molecular developmental processes. The lack of detailed information about cell-surface protein expression in these two pluripotent cell types prevents an understanding of how the cells communicate and interact with their microenvironments. Here, we used plasma membrane profiling to directly measure cell-surface protein expression in naive and primed hPSC. This unbiased approach quantified over 1,700 plasma membrane proteins, including those involved in cell adhesion, signaling, and cell interactions. Notably, multiple cytokine receptors upstream of JAK-STAT signaling were more abundant in naive hPSC. In addition, functional experiments showed that FOLR1 and SUSD2 proteins are highly expressed at the cell surface in naive hPSC but are not required to establish human naive pluripotency. This study provides a comprehensive stem cell proteomic resource that uncovers differences in signaling pathway activity and has identified new markers to define human pluripotent states
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