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Page 16 of 25                             Lin et al. Soft Sci 2023;3:14  https://dx.doi.org/10.20517/ss.2023.05


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                magnetic field generated by a permanent magnet (bottom). Reproduced with permission from  Ref. [160] . Copyright  2018. Springer
                Nature; (D) An origami crawler with a four-unit Kresling origami structure and four magnetic plates. Reproduced with permission from
                            ©
                Ref. [161] . Copyright  2022. The American Association for the Advancement of Science; (E) A reprogrammable magnetic soft robot. Left
                frame: schematic illustration of the heat-assisted 3D magnetic programming method. R.T., room temperature. Right frames:
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                illustrations and images of various 3D shapes. Reproduced with permission from Ref. [164] . Copyright  2020. The American Association
                for the Advancement of Science; (F) A biodegradable robot based on soft-magnetic composites. Left frame: Schematic illustration of
                the multi-legged array and nanofiber-constructed body. Right frame: mechanical analysis of a single leg. Reproduced with permission
                               ©
                from Ref. [170] . Copyright  2022. Elsevier. EL: Eudragit L; ES: Eudragit S; NdFeB: neodymium iron boron.

               Another effective means to broaden the motion modalities of soft robots based on hard-magnetic
               composites is to prepare multiple hard-magnetic composites with uniform/nonuniform magnetizations and
               assemble them with controlled position and direction. Figure 5B shows a method of manufacturing
               untethered magnetic soft robots using modular magnetization units embedded into a network of adhesive
                           [154]
               sticker layers . Each unit contains NdFeB particles (average diameter of 38.0, 75.0, or 150.0  μm),
               magnetized into either uniform or nonuniform magnetization profiles by the template-assisted method.
               Selectively sticking the units onto a double-sided adhesive (i.e., polyetherimide (PEI) tape) forms the soft
               robot with complex patterns, with a planar resolution of 40 μm. After cutting out from the tape, the
               magnetic torque induced by the actuating magnetic field will deform the robots into various 3D geometries.
               In areas without magnetic particles, their shapes remain flat under a magnetic field, thereby providing the
               desired spaces for further integration of other functional modules, such as temperature/UV sensors and
               radio frequency identifiers.


               The above examples mainly exploit 2D patterns with programmed magnetizations to yield multimodal
               locomotion. Constructing soft robots in sophisticated 3D geometries can further broaden the motion
               modalities [155-159] . Soft robots based on magnetic composites are compatible with 3D printing techniques, as
               the composites usually undergo a precured condition that can be printed through a nozzle. Figure 5C
               illustrates an advanced 3D printing process that allows magnetization of the composite during the
                                           [160]
               construction of the 3D structure . Here, the ink used for printing is a mixture of NdFeB particles, silica
               nanoparticles and an uncured elastomer matrix. Controlling the weight ratio of silica nanoparticles enables
               adjustment of mechanical properties (e.g., shear thinning, shear yielding) of the ink to meet the
               requirements for printing. Applying a magnetic field generated by a permanent magnet or an electromagnet
               placed around the dispensing nozzle can reorient the NdFeB particles during the printing process.
               Therefore, this strategy can control the position and direction of magnetization during the construction of
               various 3D structures. The resulting 3D soft robots exhibit many advanced geometries and motion
               modalities, ranging from a thin-walled structure that can elongate in its diagonal direction to a set of auxetic
               structures that can shrink in different directions, and to a hexapedal structure that can warp, roll, and hold
               objects.


               Although soft robots with programmed magnetization exhibit a diverse set of motion modalities, the
               relatively low modulus (typically ranging from tens of kPa to dozens of MPa) of the composite materials
               limits the ability of the robots to overcome the large environmental resistance introduced by confined
               spaces. Designing origami structures to cooperate with distributed magnetic programming represents an
                                                           [161]
               effective approach to tackling this issue. Figure 5D  shows a crawler that exploits a four-unit Kresling
               origami structure to generate axial contraction under either torque or compressive force [162,163] . Rational
               design allows the structure to cancel out internal twists for efficient straight motion. Specifically, the
               structure incorporates four magnetic plates made of a mixture of silicone elastomer and hard-magnetic
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