Fig. 1 Schematic of the circular dielectric liquid crystal elastomer sheet sandwiched between two compliant electrodes and the nematic director d at a material point ( r , β , z ) in the cylindrical coordinate system More about this image found in Schematic of the circular dielectric liquid crystal elastomer sheet sandwic...

Fig. 2 Cone-like bending shapes and corresponding spontaneous shear strain distributions γ r z s ( r ) . γ r z s ( r ) maintains a consistent sign: ( a ) the standard cone corresponds to the constant γ r z s ( r ) , ( b ) the convex cone correspo... More about this image found in Cone-like bending shapes and corresponding spontaneous shear strain distrib...

Fig. 3 Convex–concave coexisting cone bending shapes and corresponding spontaneous shear strain distributions γ r z s ( r ) . γ r z s ( r ) maintains a consistent sign and the value of | γ r z s ( r ) | is non-monotonic. The convex part corres... More about this image found in Convex–concave coexisting cone bending shapes and corresponding spontaneous...

Fig. 4 Phase diagram of the bending shapes with constant radial principal curvatures κ r r . The standard cone corresponds to the γ 0 s -axis where K = 0 . The convex cone corresponds to the first and third quadrants where γ 0 s / K ≥ 0 . The concave con... More about this image found in Phase diagram of the bending shapes with constant radial principal curvatur...

Fig. 5 Phase diagram of the bending shapes with linearly varying radial principal curvatures κ r r . The standard cone corresponds to the γ 0 s -axis where K 0 = 0 . The convex–concave coexisting cone (with its side edges bulging outward near the apex and curving in... More about this image found in Phase diagram of the bending shapes with linearly varying radial principal ...

Fig. 6 Wave-like bending shapes: ( a )–( c ) the extremum points of the deflection w are located where the spontaneous shear strain γ r z s is zero; and ( d ) bending shapes with multiple peaks and troughs More about this image found in Wave-like bending shapes: ( a )–( c ) the extremum points of the deflection...

Fig. 7 Piecewise bending shapes with side edges featuring dual inclinations More about this image found in Piecewise bending shapes with side edges featuring dual inclinations

Fig. 8 Piecewise bending shapes with two different types of curved segments More about this image found in Piecewise bending shapes with two different types of curved segments

Fig. 9 Optimal nematic director orientation alignments for ( a ) programming the standard cone bending shape as tall as possible, and ( b ) programming the convex cone, ( c ) concave cone, and ( d ) concave cone with a trough bending shapes possessing the maximum possible radial principal curvatur... More about this image found in Optimal nematic director orientation alignments for ( a ) programming the s...

Fig. 10 Optimal nematic director orientation alignments for programming the convex–concave coexisting cone bending shapes possessing the maximum possible radial principal curvature gradient More about this image found in Optimal nematic director orientation alignments for programming the convex–...

Fig. 11 ( a ) Optimal nematic director orientation alignments for programming the wave-like bending shape with n (=4) peaks and n (=4) troughs possessing the maximum possible bending amplitude. The parameter p γ is set to zero; ( b ) optimal nematic director orientation alignments for... More about this image found in ( a ) Optimal nematic director orientation alignments for programming the w...

Fig. 1 A plane longitudinal wave traveling in an elastic medium is scattered by a modulated medium where both real and imaginary parts of material parameters vary periodically in space and time More about this image found in A plane longitudinal wave traveling in an elastic medium is scattered by a ...

Fig. 2 Band dispersion and wave scattering properties of stiffness-modulated media: ( a ) and ( b ) α 1 = 0.4 , β 1 = 0 , and c m = 0 ; ( c ) and ( d ) α 1 = 0.4 , β 1 = 0 , and c m = 0.1 c 0 ; ( e ) and ( f ) α 1 = 0.4... More about this image found in Band dispersion and wave scattering properties of stiffness-modulated media...

Fig. 3 Reflection coefficients of the ± 1 st-order wave modes for stiffness-modulated media with different modulating amplitudes: α 1 = β 1 = 0.1 ( a ), 0.24 ( b ), and 0.4 ( c ) More about this image found in Reflection coefficients of the ± 1 st-order wave modes for stiffness-...