Dynamic excellence in magnetorheological shear stiffening gel: fabrication and formulation of a diagonal and distributional particle chain model

A series of magnetorheological shear stiffening gels (MRSSGs) were produced by incorporating varying amounts of carbonyl iron powder (CIP) into a shear stiffening gel (SSG) matrix. The dynamic excellence of MRSSG was evaluated using a rheometer. MRSSGs possess magnetic-sensitive properties and can autonomously respond to external stimuli because of B–O cross-linked bonds. In examining the effect of angular frequency on the magneto-induced shear modulus, an initial angle was introduced, leading to the establishment of a diagonal and distributional particle chain model. This model serves to indirectly illustrate the relationship between the magneto-induced modulus and the shear angular frequency. Theoretical results of magneto-induced modulus, derived from modeling calculations and analyses, align well with experimental findings as magnetic induction intensity varies across different excitation angular frequencies. Additionally, the magneto-induced modulus exhibits an increase that gradually approaches saturation with rising magnetic induction intensity.