Damping Boundary Conditions for a Reduced Solution Domain Size and Effective Numerical Analysis of Heterogeneous Waveguides

In the current chapter we focus on the development of numerical methods to reduce the computational effort of finite element (FE)-based wave propagation analysis and to enable the modelling of heterogeneous cellular structures. To this end, we take two different approaches: (1) implementation of damping boundary conditions to reduce the solution domain, and (2) development of methodologies to approximately capture the heterogeneities of cellular sandwich materials. The main advantage of our approach is seen in the fact that it can be implemented in commercial FE software in a straightforward fashion. Using these approaches we can study the interaction of guided waves with heterogeneous and cellular microstructures with a significantly reduced numerical effort. By means of parametric studies we then extract important variables that influence the behavior of elastic waves in sandwich panels.

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