A probabilistic study of reflection and transmission coefficients of random anisotropic elastic plates

• We analyze wave reflection and transmission through anisotropic elastic plates in the probabilistic framework.
• The effects of material’s heterogeneity on reflected and transmitted waves are investigated.
• The highlighting effects of the uncertainty of elasticity properties on the reflection and transmission coefficients are analyzed for different angles of incidence.

This paper presents a probabilistic framework to analyze wave reflection and transmission through anisotropic elastic plates. The elastic plate is sandwiched between two homogeneous fluids and has randomly varied elastic properties in the through-thickness direction. By introducing a stochastic model for quantitative description of heterogeneous elastic properties in the plate, the effects of material heterogeneity on reflected and transmitted waves may be investigated from a probability point of view. The reflection and transmission coefficients are computed via the semi-analytical finite element (SAFE) method. A sensitivity study is presented, highlighting effects of the uncertainty of elasticity properties on the reflection and transmission coefficients measured from different angles of incidence.