A computational framework for magnetically hard and soft viscoelastic magnetorheological elastomers

This work deals with a comprehensive theoretical and numerical framework that allows the modeling of finite strain magnetorheological elastomers (MREs) comprising mechanically soft nonlinear elastic–viscoelastic polymer phases magnetically hard (i.e. dissipative) or purely energetic) magnetic phases. The is presented in general manner implemented using element method. Two software implementations are developed, one FEniCS other Abaqus. A detailed analysis schemes used to model surrounding air made their pros cons discussed. proposed simulate two geometries directly relevant recent applications MREs. first two-dimensional example simulates beam consisting single wavy-chain particles. subjected transverse actuation loads induce important vertical deflections. Despite overall small local strains beam, significant viscoelastic effect observed when high-rate fields applied. torque for particles also analyze geometry found be relatively good agreement rest approaches fields. second discusses rotation three-dimensional ellipsoid embedded cubic elastomer domain, while ensemble lies inside larger domain. Non-monotonic uniaxial rotating applied leading complex, non-monotonic rotations ellipsoidal particle. cases exhibit differences, whereas viscoelasticity strong coupling magnetization but not dissipative amplitude. Extensive supplementary material provides all details our as well animated visualization results.