Model-free Data-Driven viscoelasticity in the frequency domain

We develop a Data-Driven framework for the simulation of wave propagation in viscoelastic solids directly from dynamic testing material data, including data Dynamic Mechanical Analysis (DMA), nano-indentation, Shear Testing (DST) and Magnetic Resonance Elastography (MRE), without need regression or modeling. The problem is formulated frequency domain method solution seeks to minimize distance between physically admissible histories stress strain, sense compatibility equilibrium, data. metrize space by means flat-norm their Fourier transform, which allows consideration infinite trains such as harmonic functions. Another significant advantage flat norm that it response system at one be inferred nearby frequencies. demonstrate verify approach two test cases, polymeric truss structure characterized DMA 3D soft gel sample MRE examples ease implementation scheme within conventional commercial codes its robust convergence properties, both with respect solver