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    A nonlinear gradient elasticity model for the prediction of seismic waves (English)

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    We present a novel equation of motion for a nonlinear gradient elasticity model. Thereby, higher-order gradient terms are introduced to capture the effect of small-scale soil heterogeneity/micro-structure. Using a newly established finite difference scheme, corresponding solutions including stationary waves are determined. In comparison with a commonly used model for nonlinear seismic waves, which has leading derivatives of second order, the solutions of the novel equations are much smoother. This allows much more accurate numerical computations as well as more realistic predictions of the seismic waves.

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