Diffusion matrix through stochastic wave finite element method

Diffusion matrix for uncertain media through stochastic wave finite element method (SWFEM) is presented in this paper. The presented stochastic diffusion relationship allows evaluating the statistics of reflection and transmission coefficients under structural uncertainty. The uncertain material properties are modeled as a set of random fields. The structure is presented considering two waveguides connected through a stochastic coupling element, simulated as the defect (crack). In this work, a SWFEM is employed in order to analyze the stochastic wave/damage interaction and the numerical accuracy and the computational efficiency of the method are demonstrated by comparison with analytical results.