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Plate theory for metric-constrained actuation of liquid crystal elastomer sheets

Plate theory for metric-constrained actuation of liquid crystal elastomer sheets

Liquid crystal elastomers (LCEs) marry the large deformation response of a cross-linked polymer network with the nematic order of liquid crystals pendent to the network. Of particular interest is the actuation of LCE sheets where the nematic order, modeled by a unit vector called the director, is specified heterogeneously in …