Investigation of a nonlinear gradient elasticity model for the prediction of seismic waves

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Abstract

A novel nonlinear gradient elasticity model for predicting seismic wave behavior was proposed by the authors in previous studies, introducing higher-order gradient terms to account for small-scale soil heterogeneity and micro-structure. This work delves into various characteristics of the proposed model, focusing on the system’s response under initial conditions that induce different levels of nonlinearity. The results reveal that high nonlinearity in the initial conditions can lead to distinctive wave shapes and a non-zero plateau trailing behind the propagating wave. The greater the initial nonlinearity, the more pronounced this plateau becomes. These findings provide valuable insights into the behavior of the proposed nonlinear gradient elasticity model.

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