The crosslinked network of elastomer has a significant influence on the intrinsic mechanical and electrical properties of dielectric elastomer, accordingly affecting its actuation behavior achieved by the conversion of electrical to mechanical energy. The polymer network is usually established by the chemical bonding between the polymer main chains and crosslinking agent with multiple reactive groups or the physical entanglement of macromolecular chains. Therefore, the uneven dispersion of micromolecular crosslinkers causes the uneven distribution of cross-linking points which plays a vital role in determining the uniformity of polymer network (Fig. 1ai and 1aii). In this contribution, we innovatively develop a strategy for the optimization of crosslinked polymer network through modulating the dimension of crosslinking agents which can weaken the dependence of uniformity of network on crosslinker dispersion (Fig. 1aiii and 1aiv). In addition to good compatibility or solubility (dispersion) of crosslinkers in polymer or precursor matrix, appropriate average molecular weight (dimension) also facilitates the formation of a uniform crosslinked network. Here, the monomer used for the polymerization of acrylic elastomer and corresponding crosslinking agent were theoretically selected to acquire a uniform crosslinked polymer network (see Extended Data, Part: “Selection of number average molecular weight”). After that, the monomer of n-butyl acrylate (BA) was adopted for the fabrication of acrylic elastomer due to the good flexibility, appropriate intermolecular interaction, and broad working temperature range of n-butyl acrylate homopolymer (Extended Data Fig. 1). Additionally, the oligomer with polyether as repeat units was recommended for serving as the crosslinking agent due to its good flexibility and solubility in BA monomer matrix (see Extended Data, Part: “Network design”, Extended Data Fig. 2). The average molecule weight of crosslinker should also be in the range of 104 g mol-1 to 105 g mol-1, which matches the range of average molecular weight ( ) between crosslinking points (see Extended Data, Part: “Selection of number average molecular weight”). Considering the analysis discussed above, CN9021NS, a difunctional urethane acrylate compound composed of a flexible polyether diol segment and an aliphatic diisocyanate segment, was chosen as macromolecular crosslinker for the construction of n-butyl acrylic-based elastomer network (BAC). For comparison, n-butyl acrylate homopolymer (BAP), crosslinked by the equimolar (taking BAC2 as reference) polyethylene glycol (400) diacrylate (a small molecular crosslinker), was also prepared through a similar polymerization process. The terminal vinyl groups (-CH꞊CH2) of CN9021NS were chemically bonded into the adjacent polymer main chains during the photo-polymerization process and a structure-controlled and uniform hybrid network was subsequently obtained (Fig. 1aiv). Accordingly, as shown in Fig. 1b and 1c, the BAC2 specimen exhibits great stretchability (~2300%), much higher than that of BAP. Meanwhile, the BAC2 sample owns a low elastic modulus (0.088MPa), which is attributed to the existence of long polyether diol segment in CN9021NS. The long polyether diol segment serves as a “soft segment” in the crosslinked network and provides the network with excellent flexibility. It is a huge challenge to simultaneously improve the softness and toughness of elastomer and such a paradox is solved in this contribution through the optimization of crosslinked network. The BAC2 sample not only exhibits a low Young’s modulus and a high elongation but also displays a high toughness (6.77 MJ m-3) and a high strength (1.34 MPa) (Fig. 1d and 1e, Extended Data Fig. 4). The excellent mechanical property displayed here is seldom observed in previously reported works.
A crosslinked polymer network is usually composed of the crosslinked part and an appropriate amount of dissociative chains that are not involved in the construction of network (Fig. 2a). The proportion of dissociative chains in the network crosslinked by the macromolecular agent is probably increased due to the “cage effect” and steric hindrance of macromolecular chains, which significantly weakens the reactive probability of terminal groups of macromolecular crosslinking agents (CN9021NS). Thus, the crosslinking efficiency and density will be subsequently suppressed. Such a hypothesis is verified by the swell experiment and the result indicates that BAC2 sample owns the highest fraction of dissociative component (18 %) when compared with VHBTM 4910 and other BAC samples (Fig. 2b). The analysis of the element and molecular weight distribution of CN9021NS and free chains extracted from BAC2 sample after swelling experiment indicates that the dissociative component is mainly composed of unreacted CN9021NS and uncrosslinked poly(n-butyl acrylate) chains (Fig. 2c and 2d).
We observe that the effect of these free chains inside the crosslinked network on the actuation performance of elastomer should not be neglected. The dielectric and mechanical properties of elastomer are of great importance for the actuation performance of dielectric elastomer. Dielectric analysis of VHBTM 4910 and BAC samples was carried out and the result shows that BAC2 sample exhibits the highest dielectric constant value when compared with those of VHBTM 4910 and other BAC samples (Fig. 2e and Extended Data Fig. 5b). This is out of our expectation since the long flexible polyether segment in CN9021NS may contribute to the decrease of dielectric constant for BAC2 because of its lower dipole density compared with that of poly(n-butyl acrylate)32. As for the loss part, BAC samples exhibit significant low dielectric loss than that of VHBTM 4910, and no obvious change for the loss of BAC series samples is observed (Fig. 2e and Extended Data Fig. 5b). In order to figure out the contribution of the free chains inside the crosslinked network to the dielectric properties of elastomer, the comparison of the dielectric properties of VHBTM 4910 and BAC2 samples before and after swelling experiment was performed. Compared with the change of VHBTM4910, the dielectric constant of BAC2 sample after swollen displays an obvious decrease from 5.75 for the original one to 5.4 while the loss almost remains unchanged (Fig. 2e).
Additionally, the comparison of storage modulus and mechanical loss before and after swollen indicates the existence of these free chains does not raise the negative effect on the mechanical properties of elastomer (Fig. 2f and 2g). Different from those conventional strategies implemented by incorporating high dielectric constant fillers into elastomer matrix or grafting polar groups into elastomer main chains, the approach employed in this contribution apparently eliminates the occurrence of the inevitable deterioration of dielectric loss and mechanical properties of elastomer. More importantly, these free chains inside the elastomer matrix are helpful to improve the dielectric and mechanical properties of elastomer, accordingly ameliorating actuation performance. The contribution of these free chains to the dielectric and mechanical properties of elastomer could be explained by the following two aspects. Firstly, the free chains have more orientation freedom than that of constrained segments in crosslinked network. These free chains not only afford the elastomer strong polarization intensity under external electric field, but also increase the density of dipoles in elastomer matrix (Fig. 2aiii and 2aiv). Therefore, dielectric properties of elastomers with dissociative chains is significantly improved (Fig. 2e). Secondly, the mechanical properties of elastomer mainly depend on the crosslinked network. Actually, these free chains have not been involved in the construction of the polymer network. Thus, no significant change of mechanical properties is observed (Fig. 2f and 2g). More importantly, for the mechanical loss obtained from the cyclic stress-strain curve, the loss of BAC2 sample is much lower than that of VHBTM 4910 (Fig. 2h), which may facilitate the improvements in electro-mechanical conversion efficiency and driving response speed of elastomer. The flexible long aliphatic polyether backbone inside CN9021NS can act as the “spacer” among adjacent polyacrylate chains and the introduced “spacer” will weaken dipole-dipole interaction, according reducing mechanical energy loss during deformation process. The suppressed loss obtained here is extremely important for the reduction of heat production during the cyclic deformation process.
When dielectric elastomers are used for actuators, actuation sensitivity (b) is one of the most important parameters that is usually used to evaluate the actuation performance and is defined as the ratio of dielectric constant and Young’s modulus. As discussed previously, the dielectric constant of BAC2 sample is the highest value among those commercial and lab-made samples, whereas its Young’s modulus is obviously lower than that of VHBTM 4910. Accordingly, owing to the high and low Y, the actuation sensitivity of BAC2 elastomer film can reach up to 65, which is 2.25 times larger than that (20) of VHBTM 4910 (Fig. 3a). In order to clearly evaluate the actuation performance of elastomers, a homemade experimental apparatus was specially designed (Extended Data Fig. 6). Due to the improved actuation sensitivity, BAC2 elastomer exhibits the largest area strain of 18.5% at 15 MV m-1 without pre-strain. Nevertheless, the area strain obtained from VHBTM 4910 film at the same electric field is only 4.5% (Fig. 3b). When the films were stretched with 400% biaxial pre-strain, the area strain achieved in BAC2 elastomer film reaches up to 118% at 70 MV m-1, which is almost 3.5 times larger than that of commercial one at the same electric field (Fig. 3c). It is well known that the application of pre-strain on the elastomer film can not only suppress electromechanical instability, but also enhance electrical breakdown strength, consequently leading to the increase of maximum actuation strain at a higher electric field. Additionally, pre-strain can also be used to alleviate the viscoelasticity of poly-acrylate elastomers, which is regarded as the main issue for obtaining fast response speed and stabilizing strain under the applied electric field. As shown in Fig. 3d, the VHBTM 4910 elastomer needs almost 5 min to reach 90% of its final strain, whereas BAC2 elastomer only needs 35.2 s to reach the same relative strain value (90%). In addition to the fast response speed, the area strain of BAC2 elastomer is almost invariable after the application of applied electric field. On the contrary, the commercial one displays a severe creep behavior (Fig. 3d and Extended Data Fig. 7). The large area strain and rapid electromechanical response make BAC2 elastomer film as a promising candidate in the actuation fields with the requirements of low electric field operation and potential broad frequency output.
Considering the superior dielectric, mechanical, and actuation performance of BAC2 film, the motor made of BAC2 film may rotate at a lower electric field and in a broader frequency range compared with the one using VHBTM4910 film. Fig. 4a displays a complete rotation process for the BAC2 based motor. As illustrated in Fig. 4b, the rotation speed exhibits a monotonous increase with driving frequency under a fixed electric field. Besides, the maximum rotation speed increases obviously when the electric field is enhanced. The minimum driving electric field is a vitally important parameter in evaluating the actuation performance of elastomer film. The minimum driving electric field is significantly reduced from 48 MV m-1 for VHBTM 4910 based motor to 32 MV m-1 for BAC2 based one, which is attributed to the improved actuation sensitivity. Additionally, owing to the fast response, BAC2 based motor could be triggered to rotate at higher frequency than VHBTM 4910 based motor (Fig. 4b). At the same driving electric field (48 MV m-1), the maximum rotation rate of BAC2 based motor is 0.72 r s-1, which is 16 times larger than that of VHBTM 4910 based motor. Furthermore, the rotation rate of the motor could be further increased to 2.86 r s-1 when equipped with transmission gears (Fig. 4c, Supplementary Videos 1, 2 and 3). The output torque and power of motors mainly depend on the Maxwell pressure, strain, and mechanical loss of elastomers. The Maxwell pressure on the elastomer film scales linearly with dielectric constant and quadratically with the applied electric field while the strain is defined as the ratio of Maxwell pressure and Young’s modulus.[12] The increase of the Maxwell pressure and strain usually indicates that more mechanical energy is converted from electric energy. Similarly, the less mechanical loss implies more power output. Due to the significant improvement of dielectric constant, mechanical loss and actuation performances as discussed above, the output torque and power of BAC2 based motor are distinctly improved (Fig. 4d). The output torque and power are 6 times and 18 times larger than those of VHBTM4910 based motor, respectively. The fabrication process and characterization of these soft motors are displayed in the Extended Data section in detail. Limited by the experimental equipment and dimension of motors, time constant for charging is at the magnitude of 10-2 s. Thus, with the rise of driving frequency, the maximum voltage on film descends severely. Simulation from MATLAB/Simulink reveals that the output performance of VHBTM4910 based motor depends merely on elastomer itself. However, the output performance of BAC2 based motor is not only related to the elastomer but also restricted by the experiment platform (see Extended Data, Part: “Calculation of transient time constant and simulation of electrically driving frequency”, and Extended Data Figs. 9 and 10). As a result, a great of key issues associated with high actuation voltage, slow response speed and severe viscoelastic drift have been resolved in this contribution. The approach developed here through the rational optimization of crosslinked elastomer network provides an effective strategy to tackle these challenges fundamentally.
In conclusion, a novel UV-curing polyacrylate dielectric elastomer with outstanding actuation performance was successfully obtained by optimizing polymer network. The monomer BA and macromolecular crosslinking agent CN9021NS were theoretically selected and a uniform polymer network was innovatively realized due to long chain structure of crosslinking agent used. Compared with VHBTM4910, the obtained polyacrylate elastomer here exhibits excellent dielectric (high dielectric constant), mechanical (low elastic modulus), and actuation performances (high actuation sensitivity). The simultaneous optimization of the dielectric and mechanical properties of elastomer film, a huge challenge for the conventional elastomers incorporated with high dielectric constant ceramic fillers or grafted with strong polar groups, is successfully achieved by the strategy developed in this work. The optimized actuation performance is also experimentally verified by a home-made apparatus. The performance obtained here could be mainly attributed to the flexible long chain structure of crosslinking agent and the existence of dissociative chains inside the network. The principle for the selection of elastomer component and strategy employed here provides a new insight for developing high-performance dielectric elastomers and actuators.