Explicit computational wave propagation in micro-heterogeneous media

Wave Propagation in Elastic Media with Micro/Nano-Structures

Space-Time Multiscale Model for Wave Propagation in Heterogeneous Media

Abstract: A space-time multiscale model for wave propagation in heterogeneous media is developed. The model builds on the authors’ previous work on the higher-order mathematical homogenization theory with multiple spatial and temporal scales, and is aimed at addressing the issues of stability and mathematical consistency. Starting from the weak forms of homogenized macroscopic equations of moti...

Acoustic Wave Propagation in Complicated Geometries and Heterogeneous Media

Weconstruct finite difference discretizations of the acousticwave equation in complicated geometries and heterogeneous media. Particular emphasis is placed on the accurate treatment of interfaces at which the underlying media parameters have jump discontinuities. Discontinuousmedia is treated by subdividing the domain into blockswith continuousmedia. The equation on each block is then discretiz...

Wave propagation in discrete media.

We have considered infinite systems of nonlinear ODEs on the one-dimensional integer lattice which describes the activity in an excitatorily coupled network of excitable cells. For an ideal nonlinearity, we calculated the speed of propagation of an activity and derived the condition for its existence. We also studied the existence and stability of the traveling wave solution and gave, in the si...

Love Wave Propagation in a Fiber-reinforced Layer with Corrugated Boundaries Overlying Heterogeneous Half-space

Love-type wave generation in a fiber-reinforced medium placed over an inhomogeneous orthotropic half-space is analysed. The upper and lower boundary surfaces of the fiber reinforced medium are periodically corrugated. Inhomogeneity of half-space is caused by variable density and variable shear modules. Displacement components for layer and half-space are derived by applying separable variable t...