An explicit dissipative model for isotropic hard magnetorheological elastomers

Hard magnetorheological elastomers (h-MREs) are essentially two phase composites comprising permanently magnetizable metallic inclusions suspended in a soft elastomeric matrix. This work provides thermodynamically consistent, microstructurally-guided modeling framework for isotropic, incompressible h-MREs. Energy dissipates such hard-magnetic primarily via ferromagnetic hysteresis the underlying particles. The proposed constitutive model is thus developed following generalized standard materials framework, which necessitates suitable definitions of energy density and dissipation potential. Moreover, designed to recover several well-known homogenization results (and bounds) purely mechanical magnetic limiting cases. magneto–mechanical coupling response model, turn, calibrated with aid numerical estimates under symmetric cyclic loading. performance then probed against other considering various loading paths than calibration path. Very good agreement between macroscopic observed, especially stiff moderately-soft matrix materials. An important outcome simulations independence current magnetization stretch part deformation gradient. taken into account by an only rotation-dependent remanent field as internal variable. We further show that there no need additional Finally, employed solve boundary value problems involving slender h-MRE structures match excellently experimental data from literature. Crucial differences found uniformly non-uniformly pre-magnetized h-MREs terms their pre-magnetization associated self-fields.