Bifurcation of magnetorheological film–substrate elastomers subjected to biaxial pre-compression and transverse magnetic fields

This work investigates the primary sinusoidal bifurcation wrinkling response of single- and multi-layered magnetorheological elastomer (MRE) film–substrate systems subjected to combined transverse applied magnetic fields in-plane biaxial pre-compression. A recently proposed continuum model that includes volume fraction soft-magnetic particles is employed analyze effect properties upon system. The analysis built in a highly versatile manner using finite-element discretization approach along direction field Fourier expansions infinite layer directions. allows for seamless investigation various structures. First, we pre-compression critical system mechanical stiffness ratios. We observe kink curves reflection corresponding wave numbers as they cross equi-biaxial regime. Subsequently, consider MRE film bonded substrate study particle ratios those two parts. As result, obtain sharp pattern transitions, i.e., long-to-short wavelength changes with only minor perturbations presence qualitatively quantitatively Finally, carry out data-mining exercise minimize at by three different topologies, monolayer, bilayer sandwich film. find topologies resembling closely monolayer one lead lowest given