This minisymposium will gather experts to discuss recent progress in modeling, experimental characterization, and applications of viscoelastic materials, such as elastomers, polymers, and biological tissues. These materials exhibit complex, time-dependent, and often nonlinear mechanical behaviors, particularly under multifield interactions like magneto-viscoelasticity and thermo-viscoelasticity. Addressing anisotropy is crucial for understanding the direction-dependent behavior of fibrous or composite structures, essential for applications in engineering and biological tissue modeling. Emerging data-driven techniques, leveraging machine learning, are transforming constitutive modeling, either by extending the predefined set of interpolating functions in phenomenological models or by bypassing them entirely with model-free approaches. Multiscale approaches further bridge the gap between microstructural mechanisms and macroscale responses, offering a novel approach to the modeling of composite and heterogeneous materials. Key topics include nonlinear viscoelasticity, anisotropic modeling, data-driven and multiscale methods, advanced experimental techniques, and applications of viscoelastic materials.