10The thermal and mechanical evolution of Europa and comparable icy satellites-the 11 physics behind creating and sustaining a subsurface water ocean-depends almost 12 entirely on the mechanical dissipation of tidal energy in ice to produce heat, the 13 mechanism(s) of which remain poorly understood. In deformation experiments, we 14 combine steady-state creep and low-frequency, small-strain periodic loading, similar 15 conditions in which tectonics and tidal flexing are occurring simultaneously. The data 16reveal that the relevant, power-law attenuation in ice (i) is non-linear, depending on strain 17 amplitude, (ii) is independent of grain size, and (iii) exceeds in absorption the prediction 18of the Maxwell solid model by an order of magnitude. The Maxwell solid model is 19 widely used to model the dynamics of planetary ice shells, so this discrepancy is 20important. The prevalent understanding of damping in the geophysical context is that it is 21 controlled by chemical diffusion on grain boundaries, which renders attenuation strongly 22 dependent on grain size. In sharp contrast, our results indicate instead the importance of 23 intracrystalline dislocations and their spatial interactions as the critical structural variable 24 affecting dissipation. These dislocation structures are controlled by stress and realized by 25 accumulated plastic strain. Thus, tectonics and attenuation are coupled, which, beyond 26 the icy satellite/subsurface ocean problem, has implications also for understanding the 27 attenuation of seismic waves in deforming regions of the Earth's upper mantle. 28McCarthy & Cooper: Dissipation in creeping ice 2 steady-state rheology (e.g., Ojakangas and Stevenson, 1989). However, the disparity 36 between predicted behavior using Maxwell's model and observed behavior from recent 37 satellite-based measurements (e.g., geysers and tectonics) demonstrate the need to refine 38 such models to include the spectrum of mechanical response from elastic to anelastic to 39 viscous (Shoji et al., 2013). To account for significant heat generated by mechanical 40 dissipation of tidal forces, a transient, anelastic response is required. Since microstructure 41 influences transient/anelastic properties and steady-state behavior establishes and sustains 42 microstructure, the overlap of transient and steady-state behavior is important for tidal 43 processes. Further, the ability to extrapolate laboratory data to planetary dynamics 44 requires understanding of the physics of dissipation and how it scales with frequency, 45 grain size, and temperature, as well as with stress and accumulated strain. 46On Europa, the global stress field within the icy shell includes a diurnal component with 47