Magneto-viscoelastic laminates in finite shear

This paper presents a comprehensive theoretical framework for modeling magneto-viscoelastic laminates (MVLs) under both finite and infinitesimal strains. The laminate-based approach preserves explicit information about the material's internal structure through the orientation of layers, providing a direct link between microstructural architecture and macroscopic properties. By explicitly considering two distinct viscoelastic phases within the laminate, each with its own internal variable and relaxation time, our model captures the complex dynamic behavior observed in experimental studies. The governing equations are first derived for homogeneous strains, and then specialized to both finite and infinitesimal shearing deformation.