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Yu et al. Soft Sci. 2026, 6, 19                                                  Page 15 of 24






































































               Figure 4. Simulation of gripper motion. (A) Preliminary experimental validation of the fabricated flexible gripper (cylindrical target
               capture); (B) Magnetic field strength distribution along the axis of the electromagnetic coil at varying distances from the coil’s end face;
               (C) Magnetic field distribution cross-section during gripper’s capture and stretch; (D) Fluid field dynamics and gripper displacement
               during the capture phase, along with the gripper’s own motion velocity; (E) Fluid field dynamics and gripper displacement during the
               stretch phase, along with the gripper’s own motion velocity.

               The obtained body force f  is applied as a body load to the solid mechanics equations. Regarding the fluid
                                     m
               model and boundary conditions, an incompressible Newtonian fluid model is adopted (water density
               ρ = 1,000 kg/m , dynamic viscosity μ = 1.01 × 10  Pa·s). The ALE method is used to handle the fluid-solid
                           3
                                                        -3
               interface motion and solve the incompressible Navier-Stokes equations. Boundary conditions: the flow field
               is set as a still water area during modeling, with zero pressure at the outlet. A no-slip condition is applied at
               the fluid-solid interface. Coupling strategy and solution sequence: a two-way coupled MFSI is used, with
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