Abstract
A stochastic thin-layer method is developed for the analysis of wave propagation in an inhomogeneous half-space in antiplane shear. The shear modulus is assumed uncertain and characterized by a random field. It is expanded by the polynomial chaos expansion and discretized by the Karhunen-Loeve expansion. The half-space is represented by thin layers which include not only ordinary layers but also continued-fraction absorbing boundary conditions for its infinite extent. Applying the Galerkin method both in the spatial and stochastic domains, a stochastic thinlayer method for an inhomogeneous half-space in antiplane shear is presented. The developed stochastic methods are found to provide accurate probabilistic treatment of half-space dynamics.
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