Constitutive modeling of electro-magneto-rheological fluids before yielding

This article presents a comprehensive investigation into electro-magneto-rheological (EMR) fluids that can exhibit reversible behavior changes when exposed to electrical and magnetic fields. The behavior of EMR fluids changes to a solid-like state under the influence of external fields prior to yielding. This research emphasizes the solid-like behavior of these smart materials when subjected to external fields. To establish a constitutive relation, the study makes use of Ericksen’s analysis in addition to classical continuum mechanics. The shear stress that results from the interaction with the external field is developed further using this relationship. The analytical results are validated with previously published research to ensure their validity and dependability. The findings of the study will also aid in the design and development of EMR fluid-based systems, enabling a range of practical applications.